Generalized Stirling Functions of Second Kind and Representations of Fractional Order Differences via Derivatives

DOI10.1080/1023619031000112514zbMath1096.11500OpenAlexW2090283054MaRDI QIDQ4456034

Juan J. Trujillo, Paul L. Butzer, Anatoliy Aleksandrovich Kilbas

Publication date: 17 March 2004

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

Full work available at URL: https://doi.org/10.1080/1023619031000112514

zbMATH Keywords

Stirling numbersfractional integrals and derivativesdifferences of fractional order

Mathematics Subject Classification ID

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

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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 ⋮ Stirling functions of first kind in the setting of fractional calculus and generalized differences ⋮ Stirling Functions of the Second Kind in the Setting of Difference and Fractional Calculus ⋮ The foundations of fractional calculus in the Mellin transform setting with applications

Cites Work

• Factorial functions and Stirling numbers of fractional orders
• A unified approach to generalized Stirling numbers
• Fractional calculus in the Mellin setting and Hadamard-type fractional integrals
• Stirling Numbers for Complex Arguments
• On Stirling Functions of the Second Kind
• Stirling Functions of the Second Kind in the Setting of Difference and Fractional Calculus
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