Utilization of Ramanujan-type Eisenstein series in the generation of differential equations

Document Type

Article

Publication Title

Aims Mathematics

Abstract

In his lost notebook, Ramanujan presented unique categories of remarkable infinite series, known as the Ramanujan-type Eisenstein series. The objective of this paper is to generate various differential identities related to classical η-functions and h-functions with the help of the Ramanujan-type Eisenstein series. Moreover, we present particular identities that incorporate Eisenstein series of different levels and h-functions, thereby establishing links between class one infinite series and h-functions.

First Page

28955

Last Page

28969

DOI

10.3934/math.20241405

Publication Date

1-1-2024

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