An operational calculus generalization of Ramanujan's master theorem

DOI10.1016/j.jmaa.2023.127029OpenAlexW4318717099WikidataQ122668153 ScholiaQ122668153MaRDI QIDQ2694267

Christophe Vignat, Zachary P. Bradshaw

Publication date: 28 March 2023

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.03399

zbMATH Keywords

Laplace transformintegral transformsintegrationRamanujanseriesoperational calculus

Mathematics Subject Classification ID

Number theory (11-XX) Hypergeometric functions (33Cxx) General and miscellaneous specific topics (00Axx)

Uses Software

• DLMF

Cites Work

• The Ramanujan master theorem and its implications for special functions
• Definite integrals by the method of brackets. I
• Some integrals of the Dedekind \(\eta \)-function
• Ramanujan's master theorem
• New Dirac delta function based methods with applications to perturbative expansions in quantum field theory
• Modern Quantum Mechanics
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