On Generalized Integrals and Ramanujan-Jacobi Special Functions

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.

arXiv comment37 pages, Elliptic Integrals, Ramanujan

References in corpus (2)

• Integrals related with Rogers Ramanujan continued fraction and q-products
• Generalized Elliptic Integrals and Applications

Cited by in corpus (2)

• On the Complete Evaluation of Jacobi Theta Functions
• On Algebraic Functions