Stirling functions of first kind in the setting of fractional calculus and generalized differences

DOI10.1080/10236190701470225zbMath1135.33010OpenAlexW2042601334MaRDI QIDQ5433501

Juan J. Trujillo, Luis Rodríguez-Germá, Anatoliy Aleksandrovich Kilbas, Paul L. Butzer

Publication date: 9 January 2008

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190701470225

zbMATH Keywords

Riemann zeta functionDifferences of fractional orderStirling numbers and Stirling functions of first and second kind

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Factorials, binomial coefficients, combinatorial functions (05A10) Fractional derivatives and integrals (26A33) Other special functions (33E99)

Related Items (4)

A retrospective on research visits of Paul Butzer's Aachen research group to Eastern Europe and Tenerife ⋮ On the analytic extension of Stirling numbers of the first kind ⋮ The foundations of fractional calculus in the Mellin transform setting with applications ⋮ On the Laguerre fractional integro-differentiation

Cites Work

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• On the Evaluation of Some Multiple Series
• On Stirling Functions of the Second Kind
• Stirling Functions of the Second Kind in the Setting of Difference and Fractional Calculus
• Generalized Stirling Functions of Second Kind and Representations of Fractional Order Differences via Derivatives

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