One-parameter Generalizations of Ramanujan's Formula for $\pi$
Moa Apagodu
TL;DR
This paper presents new one-parameter generalizations of Ramanujan's formula for 1/π, supported by complete Wilf-Zeilberger (WZ) proofs, expanding the understanding of these mathematical identities.
Contribution
It introduces novel one-parameter generalizations of Ramanujan's formula for 1/π with rigorous WZ proof techniques, advancing the theoretical framework.
Findings
New one-parameter generalizations of Ramanujan's formula for 1/π
Complete WZ proofs provided for all generalizations
Enhances understanding of Ramanujan-type identities
Abstract
Several terminating generalizations of Ramanujan's formula for with complete WZ proofs are given.
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Taxonomy
TopicsAdvanced Mathematical Identities · Analytic Number Theory Research · Mathematical Inequalities and Applications