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TL;DR

This paper discusses algebraic transformations of hypergeometric series to prove Ramanujan's formulas for 1/π and their generalizations, providing a foundational understanding of their applicability.

Contribution

It establishes the theoretical basis for using algebraic transformations of hypergeometric series in proving Ramanujan's formulas for 1/π.

Findings

Clarifies the applicability of algebraic transformations in hypergeometric series

Provides a framework for proving Ramanujan's formulas

Generalizes the use of transformations for related series

Abstract

We explain the use and set grounds about applicability of algebraic transformations of arithmetic hypergeometric series for proving Ramanujan's formulae for $1/\pi$ and their generalisations.