Some New Modular Equations of Degree Four and Their Explicit Evaluations

Authors

  • M S Mahadeva Naika Department of Mathematics Bangalore University Central College Campus Bangalore - 560 001 INDIA
  • K. Sushan Bairy Department of Mathematics Bangalore University Central College Campus Bangalore - 560 001
  • M. Manjunatha Department of Mathematics, P E S College of Science, Mandya

Keywords:

Modular equation, Theta-function

Abstract

In this paper, we derive several new modular equations of degree 4 by using Ramanujan's modular equations. We also establish several general formulas for explicit evaluations of $h_{4,n}$.

Author Biographies

  • M S Mahadeva Naika, Department of Mathematics Bangalore University Central College Campus Bangalore - 560 001 INDIA

    Department of Mathematics

    Associate Professor

  • K. Sushan Bairy, Department of Mathematics Bangalore University Central College Campus Bangalore - 560 001
    Department of Mathematics
    Junior Research Fellow
  • M. Manjunatha, Department of Mathematics, P E S College of Science, Mandya
    Department of Mathematics, Assistant Professor

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Published

2010-12-31

Issue

Vol. 3 No. 6 (2010): Special Issue on Complex Analysis:Theory and Applications

Section

Special Issue on Complex Analysis: Theory and Applications

License

Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.

How to Cite

Some New Modular Equations of Degree Four and Their Explicit Evaluations. (2010). European Journal of Pure and Applied Mathematics, 3(6), 924-947. https://ejpam.com/index.php/ejpam/article/view/750