On Generalized Integrals and Ramanujan-Jacobi Special Functions

2013/09/25 by Nikos Bagis, Bagis, Nikos · 1 citation
Mathematics · #33E05 #33E20 #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #General Mathematics (math.GM) #Mathematical functions and polynomials

paper · pdf · doi:10.48550/arxiv.1309.7247

openalex publication_date 2013/09/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article we consider new generalized functions for evaluating integrals and roots of functions. The construction of these generalized functions is based on Rogers-Ramanujan continued fraction, the Ramanujan-Dedekind eta, the elliptic singular modulus and other similar functions. We also provide modular equations of these new generalized functions and remark some interesting properties.

Cited by

• On the Complete Evaluation of Jacobi Theta Functions

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