K SUSHAN BAIRY

@reva.edu.in

Assistant Professor, Department of Mathematics, School of Applied Sciences
REVA University

K SUSHAN BAIRY


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https://researchid.co/ksbairy

EDUCATION

M.Sc., PhD.

RESEARCH INTERESTS

Number Theory; q-series; Ramanujan's theta-function; continued fractions
13

Scopus Publications

189

Scholar Citations

7

Scholar h-index

7

Scholar i10-index

Scopus Publications

  • Analogous of Rogers-Ramanujan type continued fraction identity
    Montes Taurus Journal of Pure and Applied Mathematics, 2024
  • New identities for ratios of ramanujan's theta function
    Advanced Studies in Contemporary Mathematics Kyungshang, 2017
  • Jacobi-sohncke type mixed modular equations and their applications
    M. Naika, K. S. Bairy, C. Shivashankar
    Note Di Matematica, 2016
    In this paper, we establish Jacobi-Sohncke type several new mixed modular equations for composite degrees 1, 3, and . As an application, we establish the modular relations between the Ramanujan-Selberg continued fractions and for and also we obtain congruence relations for color overpartitions of with odd parts.
  • A recurrence relation related to the product π 1≤i<j≤n (ai + aj) and successors of a known four-variable elementary identity
    Proceedings of the Jangjeon Mathematical Society, 2014
  • Certain identities for a continued fraction of Ramanujan
    Advanced Studies in Contemporary Mathematics Kyungshang, 2014
  • Certain modular relations for remarkable product of theta-functions
    Proceedings of the Jangjeon Mathematical Society, 2014
  • Some modular equations in the form of schlaafli1
    Italian Journal of Pure and Applied Mathematics, 2013
  • New identities for ramanujan's cubic continued fraction
    K. Sushan Bairy, S. Chandankumar, M.S. Mahadeva Naika
    Functiones Et Approximatio Commentarii Mathematici, 2012
    In this paper, we present some new identities providing relations between Ramanujan's cubic continued fraction V(q)V(q) and the other three continued fractions V(q9)V(q9), V(q17)V(q17) and V(q19)V(q19). In the process, we establish some new modular equations for the ratios of Ramanujan's theta functions. We also establish some general formulas for the explicit evaluations of ratios of Ramanujan's theta functions.
  • Certain identities for a continued fraction of Eisenstein
    Far East Journal of Mathematical Sciences, 2011
  • On some new schläfli-type mixed modular equations
    Advanced Studies in Contemporary Mathematics Kyungshang, 2011
  • General formulas for explicit evaluations of Ramanujan's cubic continued fraction
    Megadahalli Sidda Naika Mahadeva Naika, Mugur Chinna Swamy Maheshkumar, Kurady Sushan Bairy
    Kyungpook Mathematical Journal, 2009
  • On some remarkable product of theta-function
    Australian Journal of Mathematical Analysis and Applications, 2008
  • Certain quotient of eta-function identities
    Advanced Studies in Contemporary Mathematics Kyungshang, 2008

RECENT SCHOLAR PUBLICATIONS

  • Analogous of Rogers-Ramanujan type continued fraction identity
    BN Dharmendra, MCM Kumar, KS Bairy
    Montes Taurus J. Pure Appl. Math. 6 (2), 24--36 , 2024
    2024
  • NEW IDENTITIES FOR RATIOS OF RAMANUJAN’S THETA FUNCTION
    MSM NAIKA, S CHANDANKUMAR, KS BAIRY
    Advanced Studies in Contemporary Mathematics 27 (1), 131-146 , 2017
    2017
    Citations: 1
  • Jacobi-Sohncke Type Mixed Modular Equations and their applications to overpartitions.
    MS Naika, KS Bairy, DS Gireesh, NP Suman
    Palestine Journal of Mathematics 6 (1) , 2017
    2017
  • Jacobi-Sohncke type mixed modular equations and their applications
    MSM Naika, KS Bairy, C Shivashankar
    Note di Matematica 36 (1), 37 , 2016
    2016
    Citations: 1
  • Modular Relations for Remarkable Product of Theta-Functions and Evaluations
    MSM Naika, KS Bairy, NP Suman
    Recent Advances in Mathematics, RMS-Lecture Notes Series 21, 133-145 , 2015
    2015
    Citations: 5
  • Some new Modular equations of degree 2 akin to Ramanujan
    MSM Naika, KS Bairy, S Chandankumar
    Southeast Asian Bulletin of Mathematics 39 (1), 93–112 , 2015
    2015
    Citations: 1
  • Certain modular relations for remarkable product of theta-functions
    MSM Nakia, KS Bairy, NP Suman
    Proc. Jangeon Math. Soc 17 (3), 317-331 , 2014
    2014
    Citations: 5
  • A recurrence relation related to the product and successors of a known four-variable elementary identity
    S Bhargava, KS Bairy
    Proceedings of Jangjeon Mathematical Society 17 (2), 273-286 , 2014
    2014
  • Certain identities for a continued fraction of Ramanujan
    MSM Naika, KS Bairy, S Chandankumar
    Advanced Studies in Contemporary Mathematics 24 (1), 45-66 , 2014
    2014
    Citations: 2
  • Certain modular relations for remarkable product of theta-functions
    MSM Naika, KS Bairy, NP Suman
    Proceedings of the Jangjeon Mathematical Society 17 (3), 317-331 , 2014
    2014
    Citations: 4
  • On some explicit evaluation of the ratios of Ramanujan’s theta-function
    MSM Naika, KS Bairy, S Chandankumar
    Bulletin of Allahabad Mathematical Society 29 (1), 53-86 , 2014
    2014
    Citations: 6
  • Contributions to Modular Equations and Class Invariants
    KS Bairy
    LAP LAMBERT Academic Publishing , 2013
    2013
    Citations: 2
  • SOME MODULAR EQUATIONS IN THE FORM OF SCHLAFLI1
    MSM Naika, KS Bairy
    Italian Journal of Pure and Applied Mathematics 30, 233-252 , 2013
    2013
    Citations: 4
  • SOME NEW IDENTITIES FOR A CONTINUED FRACTION OF ORDER 12
    MSM NAIKA, S CHANDANKUMAR, KS BAIRY
    South East Asian Journal of Mathematics and Mathematical Sciences 10 (2 … , 2012
    2012
    Citations: 7
  • On some new identities for Ramanujan’s cubic continued fraction
    MSM Naika, S Chandankumar, KS Bairy
    Int. J. Contemp. Math. Sci 7 (20), 953-962 , 2012
    2012
    Citations: 5
  • New identities for Ramanujan’s cubic continued fraction
    MSM Naika, S Chandankumar, KS Bairy
    Funct. Approx. Comment. Math., 46 (1), 29 - 44 , 2012
    2012
    Citations: 16
  • A continued fraction of order 4 found in Ramanujan’s ‘lost’notebook
    MSM Naika, KS Bairy, M Manjunatha
    South East Asian Journal of Mathematics and Mathematical Sciences 9 (3), 43-63 , 2011
    2011
    Citations: 7
  • ON SOME NEW SCHLAFLI− TYPE MIXED MODULAR EQUATIONS
    MSM NAIKA, KS BAIRY
    Adv. Stud. Contemp. Math. 21, 189-206 , 2011
    2011
    Citations: 4
  • On some parameter involving Ramanujan’s cubic continued fraction
    MSM Naika, S Chandankumar, KS Bairy
    Indian J. Math 53 (3), 495-509 , 2011
    2011
    Citations: 2
  • Certain identities for a continued fraction of Eisenstein
    MSM Naika, KS Bairy, M Manjunatha
    Far East J. Math. Sci 57 (2), 205-226 , 2011
    2011
    Citations: 6

MOST CITED SCHOLAR PUBLICATIONS

  • General formulas for explicit evaluations of Ramanujan’s cubic continued fraction
    MSM Naika, MC Maheshkumar, KS Bairy
    Kyungpook Math. J 49 (3), 435-450 , 2009
    2009
    Citations: 25
  • On some remarkable product of theta-function
    MSM Naika, MC Maheshkumar, KS Bairy
    Aust. J. Math. Anal. Appl 5 (1), 1-15 , 2008
    2008
    Citations: 19
  • New identities for Ramanujan’s cubic continued fraction
    MSM Naika, S Chandankumar, KS Bairy
    Funct. Approx. Comment. Math., 46 (1), 29 - 44 , 2012
    2012
    Citations: 16
  • On some Ramanujan–Selberg continued fraction
    MSM Naika, RY Denis, KS Bairy
    Indian J. Math 51 (3), 585-596 , 2009
    2009
    Citations: 16
  • Some new modular equations of degree four and their explicit evaluations
    MS Naika, KS Bairy, M Manjunatha
    European Journal of Pure and Applied Mathematics 3 (6), 924-947 , 2010
    2010
    Citations: 15
  • On some new explicit evaluations of class invariants
    MSM Naika, KS Bairy
    Vietnam J. Math 36 (1), 103-124 , 2008
    2008
    Citations: 14
  • Modular equations for the ratios of Ramanujan’s theta function ψ and evaluations
    MSM Naika, S Chandankumar, KS Bairy
    New Zealand J. Math 40, 33-48 , 2010
    2010
    Citations: 12
  • SOME NEW IDENTITIES FOR A CONTINUED FRACTION OF ORDER 12
    MSM NAIKA, S CHANDANKUMAR, KS BAIRY
    South East Asian Journal of Mathematics and Mathematical Sciences 10 (2 … , 2012
    2012
    Citations: 7
  • A continued fraction of order 4 found in Ramanujan’s ‘lost’notebook
    MSM Naika, KS Bairy, M Manjunatha
    South East Asian Journal of Mathematics and Mathematical Sciences 9 (3), 43-63 , 2011
    2011
    Citations: 7
  • Certain quotient of Etafunction identities
    MSM Naika, MC Maheshkumar, KS Bairy
    Adv. Stud. Contemp. Math 16 (1), 121-136 , 2008
    2008
    Citations: 7
  • On some explicit evaluation of the ratios of Ramanujan’s theta-function
    MSM Naika, KS Bairy, S Chandankumar
    Bulletin of Allahabad Mathematical Society 29 (1), 53-86 , 2014
    2014
    Citations: 6
  • Certain identities for a continued fraction of Eisenstein
    MSM Naika, KS Bairy, M Manjunatha
    Far East J. Math. Sci 57 (2), 205-226 , 2011
    2011
    Citations: 6
  • Modular Relations for Remarkable Product of Theta-Functions and Evaluations
    MSM Naika, KS Bairy, NP Suman
    Recent Advances in Mathematics, RMS-Lecture Notes Series 21, 133-145 , 2015
    2015
    Citations: 5
  • Certain modular relations for remarkable product of theta-functions
    MSM Nakia, KS Bairy, NP Suman
    Proc. Jangeon Math. Soc 17 (3), 317-331 , 2014
    2014
    Citations: 5
  • On some new identities for Ramanujan’s cubic continued fraction
    MSM Naika, S Chandankumar, KS Bairy
    Int. J. Contemp. Math. Sci 7 (20), 953-962 , 2012
    2012
    Citations: 5
  • Certain modular relations for remarkable product of theta-functions
    MSM Naika, KS Bairy, NP Suman
    Proceedings of the Jangjeon Mathematical Society 17 (3), 317-331 , 2014
    2014
    Citations: 4
  • SOME MODULAR EQUATIONS IN THE FORM OF SCHLAFLI1
    MSM Naika, KS Bairy
    Italian Journal of Pure and Applied Mathematics 30, 233-252 , 2013
    2013
    Citations: 4
  • ON SOME NEW SCHLAFLI− TYPE MIXED MODULAR EQUATIONS
    MSM NAIKA, KS BAIRY
    Adv. Stud. Contemp. Math. 21, 189-206 , 2011
    2011
    Citations: 4
  • Some theorems on the explicit evaluations of singular moduli
    K Sushan Bairy
    General Mathematics 17 (1), 71-87 , 2009
    2009
    Citations: 3
  • Certain identities for a continued fraction of Ramanujan
    MSM Naika, KS Bairy, S Chandankumar
    Advanced Studies in Contemporary Mathematics 24 (1), 45-66 , 2014
    2014
    Citations: 2