This is the fifth and final volume that the authors have written in their examination of all the
claims made by S. Ramanujan in The Lost Notebook and Other Unpublished Papers …

Jacobi's elliptic integrals and elliptic functions arise naturally from the Schwarz-Christoffel
conformal transformation of the upper half plane onto a rectangle. In this paper we study …

In this thesis we consider two parametrizations rk, n and [special characters omitted] of the
Dedekind eta-function. The Dedekind eta-function [special characters omitted](z) and …

In this paper, the authors study monotonicity and convexity of the generalized elliptic
integrals and certain combinations of these special functions, such as ma (r) and μa (r) …

On page 211 in his lost notebook, in the pagination of [19], Ramanujan listed eight integers,
11, 19, 27, 43, 67, 163, 35, and 51 at the left margin. To the right of each integer, Ramanujan …

In 2001, Jinhee Yi found many explicit values of the famous Rogers–Ramanujan continued
fraction by using modular equations and transformation formulas for theta-functions. In this …

Remarks on generalized elliptic integrals Page 1 Proceedings of the Royal Society of Edinburgh,
139A, 417–426, 2009 Remarks on generalized elliptic integrals Xiaohui Zhang, Gendi Wang and …

Many of Ramanujan's ideas and theorems form the seeds of questions and problems, many
of which remain unresolved or even to be thoroughly examined. This survey raises …

In this paper, we use the explicit Shimura Reciprocity Law to compute the cubic singular
moduli α n∗, which are used in the constructions of new rapidly convergent series for 1∕ π …

Using an infinite family of generalizations of the Chudnovsky brothers' series recently
obtained via the analytic continuation of the Borwein brothers' formula for Ramanujan-type …