## List of Publications (Year wise: 1998 onwards)

## In Journals:

2007

• Baruah, N. Deka and Saikia N., Explicit evaluations of Ramanujan-Gollnitz-Gordon continued fraction, Monatshe fur Mathematik, accepted for publication.

• Baruah, N. Deka, and Berndt, B. C., Partition identities and Ramanujan's modular equations, Journal of Combinatorial Theory, Series A, Vol. 114, pp. 1024-1045, 2007.

• Baruah, N. Deka, and Bora, J., Modular equations for the nonic analogues of the Rogers-Ramanujan functions with applications to partitions, Journal of Number Theory, doi:10.1016/j.jnt.2007.

• Kalita J. and Sen S., The (9,5) HOC formulation for the transient Navier-Stokes Equations in primitive variable. International Journal for Numerical Methods in Fluids doi:10.1002/fld.1472, 2007.

• Baruah, N. Deka and Bora J., Further analogues of the Rogers-Ramanujan functions with applications to partitions, Integers-Electronic Journal of Combinatorial Number Theory, accepted for publication. Also appeared in Combinatorial Number Theory, B. Landman et. al eds., pp. 81-102, Walter de Gruyter, 2007.

• Baruah, N. Deka and Berndt, B. C., Partition identities arising from theta function identities, Acta Mathematica Sinica, accepted for publication.

• Baruah, N. Deka, Cooper S. and Hirschhorn M., Sums of squares and sums of triangular numbers induced by partitions of 8, International Journal of Number Theory, accepted for publication.

2006

• Hazarika, Munmun, On the Spectrum of Operator Weighted Shifts, Bull. Cal. Math. Soc., 98, (1), 31-38, 2006.

• Hazarika, Munmun, Recursively generated subnormal shifts, J. Indian Acad. Math., Vol. 28, No. 1 (2006), 11-23.

• Begum, R.A. and M. Borah, Application of the Gegenbauer distribution to ball games, ASR, Vol 20(1),60- 72, 2006.

• Baruah, N. Deka, and Saikia, N., Modular relations and explicit values of Ramanujan-Selberg continued fractions, International Journal of Mathematics and Mathematical Sciences, Vol. Article ID 54901, pp. 1-15, 2006.

• Baruah, N. Deka, and Barman, R., Certain theta-function identities and Ramanujan's modular equations of degree 3, Indian Journal of Mathematics, Vol. 48, No. 1, pp. 113-133, 2006.

• Sarmah, B. P., S. K. Banerjee, S. K., Dhurandhar S. V., and Narlikar, J. V.,, On searches for gravitational waves from mini-creation events by laser interferometric detectors, Monthly Notices of the Royal Astronomical Society, Volume 369 (1), Page 89-96, June 2006

2005

• Baruah, N. Deka and Bora, J., Some new proofs of Ramanujan's modular equations of degree 9, Indian Journal of Mathematics, 47(1)(2005), 99-122.

• Begum, R.A. and Borah, M.,, Certain Infinitely divisible discrete probability distributions and its applications, Mathematics and Statistics in Engineering Bio- Technology and Science, Centre for Bio Mathematical Studies, Jharkhand, India, 2005.

• Sarma, S., Borah, M. and Dutta, R. K.,, Effects of alcohol on partition equilibrium of Phenol red in micellar solutions and o/w microemulsions of anionic surfactants, Journal of Colloids and Surfaces A: Physicochem. Eng. Aspects, Vol 256, 105-110, 2005.

• Saikia, P.M., Borah, M. and Dutta, R. K.,, Acid- base equilibrium of anionic dyes partially bound to micelles of nonionic Surfactants, Journal of Colloid and Interface Science, Vol 285, 382-387, 2005.

• Sarma, R. D., Hazarika, D., Sharfuddin, A.,, Some aspects of Ci-connectedness in L-topological spaces, J. Fuzzy Mathematics, Vol. 13, No. 4, 2005, 827-844.

2004

• Hazarika, Munmun, Arora, S.C., Minimal reducing subspaces of the unilateral shift operator on an operator weighted sequence space. Indian Journal of Pure and Applied Mathematics Vol. 35 Issue 6 Jun, 2004, 747-757.

• Hazarika, Munmun, Arora, S.C., Hypercyclic Operator Weighted Shifts, Bull. Korean Math. Soc. 41 (2004), no. 4., 589-598.

• Baruah N. Deka, Bhattacharyya, P., Some theorems on the explicit evaluation of Ramanuajn's theta-functions, International Journal of Mathematics and Mathematical Sciences, Vol. 2004, No. 40, pp. 2149-2159, 2004.

• Baruah, N. Deka, and Saikia, N., Some new explicit values of Ramanujan's continued fractions, Indian Journal of Mathematics, Vol. 46, Nos. 2-3, pp. 197-222 (2004).

• Dutta S., Modelling Count data with high proportion of zeros (M.L.E. calculation using Simulated Annealing), (Online Journal) interstat. statjournals.net Vol April, 2004 pp 15.

2003

• Sarma, R. D., Hazarika, D., Sharfuddin, A., Extremally disconnected spaces in L- topological spaces, J. of Fuzzy Mathematics, 11(3), 737-749, 2003.

• Baruah N. Deka, On some of Ramanujan's Schlafli-type "Mixed" modular equations; Journal of Number Theory, Vol. 100, No.2, 270-294, 2003.

• Baruah N. Deka, Saikia, N., Some general theorems on the explicit evaluations of Ramanujan's cubic continued fractions, J. of Computational and Applied Mathematics, Vol. 160, pp. 37-51, 2003.

2002

• Nath, A. Deka, Borah, M., Lagrangian Charlier Type Distributions, Bulletin of the Calcutta Statistical Association, 2002.

• Borah, M., Begum, R. A., Some Properties of Poisson- Lindley and its derived distributions, Journal of the Indian Statistical Association, Vol. 40, pp 13- 25, 2002.

• Kalita, P., Choudhury, H., Borah, M., Son Preference and its influence on additional desired Fertility, Indian Journal of Regional Science, vol. 34 (2), 86-92, 2002.

• Kalita, P., Choudhury, H., Borah, M., An Econometric Study of Some Selected Socio- Demographic Variables on Fertility by age group, Man in India, 82(3 &4), 453-458, 2002.

• Baruah N. Deka, Modular equations for Ramanujan's cubic continued fraction, Journal of Mathematical Analysis and Applications, Vol. 268 , 244-255, 2002.

• Sarma, R.D., Hazarika D., A Urysohn Lemma type result for extremelly disconnected spaces, Gauhati University Mathematical Bulletin, 7, 21-26, 2002.

2001

• Borah, M., Nath, A. Deka, Poisson Lindley and Some of its Mixture Distributions, Pure and Applied Mathematika Sciences, 53, pp 1-8, 2001.

• Baruah, N. Deka, On some class invariants of Ramanujan; Journal of the Indian Mathematical Society, Vol. 68, pp. 113-131, 2001.

2000

• Dubey, B., Hussain, J., Modelling the interaction of two biological species in a polluted environment, J. Math. Anal. Appl., Vol. 246, No.1, 58-79, 2000.

• Dubey, B., Hussain, J., A model for the allelopathic effect on two competing species, Ecol. Model, Vol. 129, No. 2-3, 195-207, 2000.

• Borah, M., Choudhury, H., Paul, S. K., Analysis of Tea Quality Data using Multiple Response Regression Model, J. Assam Science Society, 41(1), pp 26- 33, 2000.

• Borah, M., Nath A. Deka, A study on the Inflated Poisson Lindley Distribution, Jour. Ind. Soc. Ag. Statistics, 54(3), pp 317- 323, 2000.

• Borah, M., Nath, A. Deka, A Class of Hermite Type Lagrangian Distributions, in Recent Trends in Mathematical Sciences (eds. J.C. Misra and S.B. Sinha), Norosa Publishing House, pp 319- 326, 2000.

• Baruah, N. Deka, On some of Ramanujan's identities for eta functions, Indian Journal of Mathematics, 42 (3), pp 253- 266, 2000.

• Baruah, N. Deka, A few theta function identities and some of Ramanujan's modular equations, The Ramanujam Journal, 4(3), pp 239- 250, 2000.

• Nath, A. Deka, Borah, M., The Short Poisson-Poisson- Lindley Distribution, J. Assam Science Society, 41(2), pp 120- 128, 2000.

• Laskar, S. K., A note on Uniqueness of depth-determination from observed potential field data, J. of Geophysics, XXI(I), 37-40, Jan. 2000.

1999

• Borkakati. A. K., Chakrabarty, S., Soret effect and mass transfer past an infinite vertical porous plate, Pure and Applied Mathematica, Vol. 49, 1998-99: India.

• Borkakati. A. K., Chakrabarty, S., Unsteady free convective MHD flow between two heated vertical parallel plates, Pure and Applied Mathematika, Vol. 50, 1998-99: India.

• Dubey, B., Das B., Model for the survival of species dependent on resource in industrial environments, J. Math. Anal.. Appl. 231: 374 - 396, 1999.

• Borkakati. A. K. , Chakrabarty, S., Effect of variable viscosity on laminar convection flow of an electrically conducting fluid on a uniform magnetic field. Int. J. of Th. and App. Mechnics,: Yugoslavia, Vol.25, 1999.

• Borkakati. A. K., Chakrabarty S., Unsteady free covection MHD flow between two heated vertical parallel plates in induced magnetic field. Indian J. of Theoretical Physics, India, Vol.47, No.1, pp 43-60, 1999.

• Laskar S. K., Computation of gradients of a potential field from observed boundary data, J. Geophysics, India 20 (2), 83 - 87, 1999.

• Laskar, S. K., A note on Uniqueness of depth-determination from observed potential field data, J. of Geophysics, XXI(I), 37-40, Jan. 2000.

• Dubey, B., Das, B., Models for the survival of species dependent on resource in industrial environments, J. Math. Anal. Appl. 231: 374 - 396, 1999.

• Dubey, B., Das, B., Modelling the interaction of two predators competing for a prey in a diffusive system, Ind. J. Pure and Appl. Math., 1999.

1998

• Borkakati. A. K., Chakrabarty S., MHD flow and heat transfer of a dusty visco-elastic liquid down an inclined channel in porous medium, Indian J. of Theoretical Physics, India Vol.46, No.4, pp 313-331, 1998.

• Borkakati. A. K., Chakrabarty, S., Stratification effect on MHD flow and heat transfer of a dusty elastic fluid down an inclined channel in porous medium under variable viscosity, Int. J. of Th. and App. Mechanics, Vol. 24, pp.13-27, UDK 532. 517.2: Yugoslavia, 1998.

• Borkakati. A. K., Chakrabarty, S., A note on MHD flow and heat tranfer of a dusty visco-elastic down an inclined channel in porous medium, Pure and Applied Mathematica, Vol. 49, No.2, pp. 173-181: India, 1998.

• Dubey. B., Depletion & subsequent conservation of forestry resource biomass: a mathematical model, Proc. Nat. Acad. Sci. India, 68 A (IV): 373-386, 1998.

## List of Papers Published/Presented in Conference/ Proceedings/ :

2008

• Hazarika, M., The subnormal completion problem for operator weighted shifts, International Conference on Operator Theory and related areas (ICOTRA), University of Delhi, 9-12 January, 2008.

2007

• Begum, R. and Borah, M., Application of the Gegenbauer Distribution to Ball Games, 15th International Conference of Forum for Interdisciplinary Mathematics on Interdisciplinary Mathematical & Statistical Techniques, Shanghai P.R. China, May 20- 23, 2007., p27.

• Begum, R. and Borah, M.,A Study on Infinite Divisible Generalized three parameter Charlier Distribution, 15th International Conference of Forum for Interdisciplinary Mathematics on Interdisciplinary Mathematical & Statistical Techniques, Shanghai P.R. China, May 20- 23, 2007, p27.

• Baruah. N. Deka and Bora, J., Further analogues of the Rogers-Ramanujan functions with applications to partitions, in Combinatorial Number Theory, B. Landman et. al eds., pp. 81-102, Walter de Gruyter, 2007, proceedings of Integers-2005 Conference, University of West Georgia, Carrollton, Georgia.

Hazarika, D., Topological concepts in image processing the fuzzy angle, Fuzzy Logic and its Applications in Technology and Management, Editor(s): D. Chakraborty, S. Nanda and D. Majumdar, Narosa, 2007.

2006

Sen, Shuvam and Kalita, J. C., HOC formulation of the transient N-S equations in primitive variable. ICM 2006, Madraid, Spain. August 22-30, 2006.

Barman, R.Ramanujan’s Modular Equations of Degree 15 and Associated Theta-Function Identities, 21st Annual Conference of the Ramanujan Mathematical Society ,Department of Mathematics and Statistics, University of Hyderabad, 3-8 July, 2006.

2005

2004

• Hazarika, M., Arora S. C., Reducibility criterion for a class of operator weighted shifts, 91st Indian Science Congress, Punjab University, Chandigarh, Jan. 3-7, 2004.

• Baruah, N. Deka, Some new explicit values of Ramanujan's continued fractions, 91st Indian Science Congress, Punjab University, Chandigarh, January 3-7, 2004.

• Santanu Dutta, Modelling Count data with high proportion of zeros (M.L.E. calculation using Simulated Annealing), (Online Journal) interstat. statjournals.net Vol April, 2004 pp 15.

2003

• Hazarika, D., Topological concepts in image processing -the fuzzy angle, Conference on Fuzzy logic and its application in technology and management, IIT, Kharagpur, 21-22 May, 2003.

• Kalita, P., Choudhury, H., Borah, M., The impact of Socio- Demographic Variables on Fertility behaviour in Assam, International Conference on Recent trends in Probability and Statistics, Gauhati University, Dec. 31, 2002 - Jan. 2, 2003.

2002

• Baruah, N. Deka and Bhattacharyya, P., Some theorems connected to the explicit evaluations of Ramanujan's theta- functions, International Congress of Mathematicians (ICM), Beijing, 18- 28 August, 2002.

• Baruah, N. Deka, Some general theorems on the explicit evaluations of Ramanujan's cubic continued fraction; International conference on Special Functions and Their Applications (ICSF- 2002), Institute of Mathematical Sciences, Chennai, India, September 23- 27, 2002.

• Hazarika, D. , Sarma, R. D., External disconnectedness in L- topological spaces, 89th session of the Indian Science Congress, Lucknow University, Lucknow, 3-7 January, 2002.

• Hazarika, D., Connectedness and local connectedness in Intuitionistic fuzzy topological spaces, International Conference in Analysis and Discrete Structures (ICADS), IIT, Kharagpur, December, 2002.

• Hazarika, M., Arora, S. C., On similarity of operator valued weighted shifts and operator weighted sequence spaces, International Conference in Analysis and Discrete Structures (ICADS), IIT, Kharagpur, December 2002.

2001

• Nath, A. Deka, M. Borah, A study on Charlier Type Lagrangian Probability distributions, Proceedings of the National Conference on Mathematical and Computational Models, pp 67-72, 2001.

• Kalita, P., Choudhury, H., Borah, M., A conceptual Model of Fertility Behaviour, Proceedings of the National Conference on Mathematical and Computational Models, pp 229- 234, 2001.

• Kalita, P., Choudhury, H., Borah, M., Factors affecting the use of Contraception, 33rd Regional Science Conference, India, Oct. 19-20, 2001.

• Kalita, P., Choudhury, H., Borah, M., A Conceptual model of Fertility Behaviour, National Conference on Mathematical and Computational Models, PSG College of Technology, Coimbatore, India, Dec. 27- 28, 2001.

2000

• Borah, M., Nath, A. Deka, A Class of Hermite Type Lagrangian Distributions, in Recent Trends in Mathematical Sciences (ed. By J.C. Misra and S.B. Sinha), Norosa Publishing House, pp 319- 326, 2000.

• Nath, A. Deka, Borah, M., Lagrangian Charlier Type Distributions, Proceedings of the Fourth International Triennial Calcutta Symposium on Probability and Statistics, pp 37- 39, 2000.

• Borah, M., Begum R. A., Some Properties of Poisson Mixing Infinitely Divisible Distribution. Technical Session of Assam Science Society, 23rd February, 2000.

• Ahmed, Z.A., Borah, M., Pandit, S.N.N, Genetic Algorithms for the Min-Max Travelling Salesman Problem, Technical Session of Assam Science Society, on 23rd February, 2000.

• Dubey, B., "Optimal economic policy in a dynamical model for pollution: The case of resources in a preserved area" Fifth course on mathematical Ecology including an Introduction to Ecological Economics, Environmental Issue Group, February 28 - March 24, 2000, ICTP, Italy.

• Nath, A. Deka, Borah, M., The Short Poisson- Poisson-Lindley distribution, Technical Session of Assam Science Society, on 23rd February, 2000.

• Dubey, B., A predator-prey interaction model with self and cross diffusion at the Fifth course on Mathematical Ecology including an introduction to Ecological Economics, ICTP, Trieste, Italy, 28 February - 24 March, 2000.

• Borah, M., Begum, R. A., Some Properties of Poisson Mixing Infinitely Divisible Distributions, Technical Session of Assam Science Society, 23rd February, 2000.

• Ahmed, Z.H., Borah, M., Pandit, S. N. N., Genetic Algorithms for the Min-Max Travelling Salesman Problem, Technical Session of Assam Science Society, 23rd February, 2000.

• Kalita, P., Choudhury, H., Borah, M., An Econometric Study of Some Selected Socio- Demographic Variables on Fertility by Age Group, 4th International Triennial Calcutta Symposium on Probability and Statistics, Dec. 26- 28, 2000.

• Baruah, N. Deka, On some of Ramanujan's Schlafli-type "mixed" modular equations; 15th annual conference of the Ramanujan Mathematical Society, University of Madras during june 5-7, 2000.

• Hazarika, D., Sarma, R. D., Connectedness notions in L-topological spaces, International Conference on recent trends in Analysis and Applications, Irinjalakuda, Kerala, 16-18th December, 2000.

1999

• Ahmed, Z.A., Borah, M., Pandit, S. N. N., Genetic Algorithms for the Travelling Salesman Problem with Backhauls. International conference on Computer Modelling, Simulation and Communication, Jaipur, 1-3 December, 1999.

• Ahmed, Z.A., Borah, M., Pandit, S. N. N., Genetic Algorithms for the Travelling Salesman Problem with Fixed Position Constraints. International Conference on Computer Modelling, Simulation and Communication, Jaipur, 1-3 December, 1999.

• Ahmed, Z.A., Borah, M., Pandit, S. N. N., Genetic Algorithms for the Travelling Salesman Problem with Fixed Position and Precedence Constraints, International Conference on Operational Research in Small and Medium enterprises, during 20- 22, December, 1999.

• Laskar, S.K. , Bhattacharyya, A. K., Alternative approaches on upward continuation of potential field data acquired over an irregular terrain, 25th Annual convention and seminar on Exploration Geophysics, 18-20 Nov. 1999, Chandigarh.

• Ahmed, Z.H., Borah, M., Pandit, S.N.N, Genetic Algorithms for the Travelling Salesman Problem with Backhauls, International conference on Computer Modelling, Simulation and Communication, Jaipur, 1-3 December, 1999.

• Ahmed, Z.H., Borah, M., S.N.N. Pandit, Genetic Algorithms for the Travelling Salesman Problem with Fixed Position Constraints, International conference on Computer Modelling, Simulation and Communication, Jaipur, 1-3 December, 1999.

• Ahmed, Z.H., Borah, M., Pandit, S.N.N, Genetic Algorithms for the Travelling Salesman Problem with Fixed Position and Precedence Constraints, International conference on Operational Research in Small and Medium enterprises, during 20- 22, December, 1999.

• Laskar, S.K., Bhattacharyya, A.K., Alternative approaches on upward continuation of potential field data acquired over an irregular terrain, AEG Conference, Chandigarh, 1999.

• Ahmed, Z.H., Pandit, S. N. N., Borah, M., Genetic Algorithms for the Travelling Salesman Problem with Fixed Position Constraints, Proceedings of International conference on Computer Modelling, Simulation and Communication, pp 59- 71, 1999.

• Ahmed, Z.H., Borah, M., Pandit, S. N. N., Genetic Algorithms for the Travelling Salesman Problem with Fixed Position and Precedence Constraints, Proceedings of the International conference on Operational Research in Small and Medium enterprises, 1999.

• Borah, M., Begum, R. A., Some Properties of Poisson Mixing Infinitely Divisible Distribution, Proceedings of the Annual Technical Session of Assam Science Society, pp 40- 47, 1999.

• Ahmed, Z.H., Pandit, S. N. N., Borah, M., Genetic Algorithms for the Min-Max Travelling Salesman Problem, Proceedings of the Annual Technical Session of Assam Science Society, 64-71, 1999.

1998

• Borah, M., Begum, R. A., Some properties of certain infinitely divisible discrete distributions, International Conference on Combinatorics, Statistics, Pattern Recognition and Related Areas, Department of Mathematics, Statistics and Computer Science, University of Mysore, Manasagangotri, Mysore 570006, India, December 28- 30, 1998.

• Borah, M., Nath, A. Deka, Poisson- Lindley and some of its mixture distributions, International Conference on Combinatorics, Statistics, Pattern Recognition and Related Areas Department of Mathematics, Statistics and Computer Science, University of Mysore, Manasagangotri, Mysore 570006, India, December 28- 30, 1998.

• Borah M., Ahmed, Z.H., Pandit, S.N.N., A Genetic Algorithm for the Travelling Salesman problems, International Conference on Combinatorics, Statistics, Pattern Recognition and Related Areas, Department of Mathematics, Statistics and Computer Science, University of Mysore, Manasagangotri, Mysore 570006, India, December 28- 30, 1998.