Stirling Functions of the Second Kind in the Setting of Difference and Fractional Calculus

DOI10.1081/NFA-120026366zbMath1086.11014OpenAlexW1966566971MaRDI QIDQ4439616

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

Publication date: 14 December 2003

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/nfa-120026366

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Factorials, binomial coefficients, combinatorial functions (05A10) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Fractional derivatives and integrals (26A33)

Related Items (13)

Expansion Formulas in Terms of Integer-Order Derivatives for the Hadamard Fractional Integral and Derivative ⋮ Mellin transforms of generalized fractional integrals and derivatives ⋮ Computing Hadamard type operators of variable fractional order ⋮ A retrospective on research visits of Paul Butzer's Aachen research group to Eastern Europe and Tenerife ⋮ Approximation results for Hadamard-type exponential sampling Kantorovich series ⋮ Eulerian fractions and Stirling, Bernoulli and Euler functions with complex order parameters and their impact on the polylogarithm function ⋮ HÖLDER CONTINUITY AND BOX DIMENSION FOR THE WEYL FRACTIONAL INTEGRAL ⋮ Caputo–Hadamard Fractional Derivatives of Variable Order ⋮ Stirling functions of first kind in the setting of fractional calculus and generalized differences ⋮ The foundations of fractional calculus in the Mellin transform setting with applications ⋮ Generalized Stirling Functions of Second Kind and Representations of Fractional Order Differences via Derivatives ⋮ Sums of Powers Via Matrices ⋮ THE ESTIMATES OF HÖLDER INDEX AND THE BOX DIMENSION FOR THE HADAMARD FRACTIONAL INTEGRAL

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