Abstract

On page 188 of his lost notebook, Ramanujan introduced distinct classes of exquisite infinite series, representing them in terms of Eisenstein series. The objective of this paper is to develop various differential identities related to Borwein’s cubic theta functions and h-functions. Also, we present certain identities containing Eisenstein series of level 6 and h-functions that are used to establish relations involving class one infinite series and h-functions. Additionally, we present a straightforward approach to evaluate a discrete convolution sum by employing relationships involving Eisenstein series and h-functions.

Original languageEnglish
Pages (from-to)1038-1042
Number of pages5
JournalEngineering Letters
Volume32
Issue number5
Publication statusPublished - 2024

All Science Journal Classification (ASJC) codes

  • General Engineering

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