A short note on integral transformations and conversion formulas for sequence generating functions

DOI10.3390/axioms8020062zbMath1432.05013arXiv1809.03933OpenAlexW2892369844WikidataQ127851473 ScholiaQ127851473MaRDI QIDQ2306334

Maxie D. Schmidt

Publication date: 23 March 2020

Published in: Axioms (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.03933

zbMATH Keywords

gamma functiongenerating functionHankel contourseries transformation

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Bell and Stirling numbers (11B73) Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Integral representations, integral operators, integral equations methods in higher dimensions (31B10)

Uses Software

• DLMF

Cites Work

• Meinardus' theorem on weighted partitions: Extensions and a probabilistic proof
• Zeta Series Generating Function Transformations Related to Generalized Stirling Numbers and Partial Sums of the Hurwitz Zeta Function
• Explicit evaluation of Euler sums
• Generating Function Transformations Related to Polylogarithm Functions and the $k$-Order Harmonic Numbers
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