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

H. C. Vidya; Pragathi B. Shetty; B. Ashwath Rao

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 journal › Article › peer-review

2 Citations (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 language	English
Pages (from-to)	21-31
Number of pages	11
Journal	Global and Stochastic Analysis
Volume	11
Issue number	3
Publication status	Published - 06-2024

All Science Journal Classification (ASJC) codes

Statistics and Probability
Discrete Mathematics and Combinatorics

Cite this

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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.",

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AU - Ashwath Rao, B.

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AB - 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.

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

Abstract

All Science Journal Classification (ASJC) codes

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