FORMULATION OF DIFFERENTIAL EQUATIONS UTILIZING THE RELATIONSHIP AMONG RAMANUJAN-TYPE EISENSTEIN SERIES AND h-FUNCTIONS

H. C. Vidya, Pragathi B. Shetty, B. Ashwath Rao*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

Ramanujan, in his lost notebook on page 188, delineated unique categories of remarkable infinite series, expressing them through the frame-work of Eisenstein series. The aim of this paper is to explore diverse differential identities concerning classical η-functions and h-functions. Furthermore, we introduce specific identities involving Eisenstein series of various levels and h-functions, which serve to establish connections between class one infinite series and h-functions.

Original languageEnglish
Pages (from-to)21-31
Number of pages11
JournalGlobal and Stochastic Analysis
Volume11
Issue number3
Publication statusPublished - 06-2024

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Discrete Mathematics and Combinatorics

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