@article{Vidya2024, 
author = {H. C. Vidya and B. A. Rao},
title = {Utilization of Ramanujan-type Eisenstein series in the generation of differential equations},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {10},
pages = {28955-28969},
keywords = {Eisenstein series, Dedekind η-function, class one infinite series, differential equations},
url = {https://www.sciopen.com/article/10.3934/math.20241405},
doi = {10.3934/math.20241405},
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.}
}