Wronskians of theta functions and series for $1/\pi$

Abstract

In this article, we define functions analogous to Ramanujan's function $f(n)$ defined in his famous paper "Modular equations and approximations to $\pi$". We then use these new functions to study Ramanujan's series for $1/\pi$ associated with the classical, cubic and quartic bases.

Cited by in corpus (1)

• Transformation and summation formulas for basic hypergeometric series associated with the circumference ratio