Ramanujan's remarkable summation formula as a $2$-papameter generalization of the quintuple product identity

Authors

  • S. Bhargava
  • Chandrashekar Adiga
  • M. S. Mahadeva Naika

DOI:

https://doi.org/10.5556/j.tkjm.33.2002.285-288

Abstract

It is well known that `Ramanujan's remarkable summation formula' unifies and generalizes the $q$-binomial theorem and the triple product identity and has numerous applications. In this note we will demonstrate how, after a suitable transformation of the series side, it can be looked upon as a $2$-parameter generalization of the quintuple product identity also.

Author Biography

S. Bhargava

Department of Studies in Mathematics, University of Mysore, Manasagangothri, Mysore-570 006, India.

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Published

2002-09-30

How to Cite

Bhargava, S., Adiga, C., & Naika, M. S. M. . (2002). Ramanujan’s remarkable summation formula as a $2$-papameter generalization of the quintuple product identity. Tamkang Journal of Mathematics, 33(3), 285–288. https://doi.org/10.5556/j.tkjm.33.2002.285-288

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Section

Papers