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Numerical Functional Analysis and Optimization Volume 24, 2003 - Issue 7-8
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Original Articles

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

Paul L. Butzer Lehrstuhl fur Mathematik, RWTH Aachen, Aachen, GermanyCorrespondence[email protected]
,
Anatoly A. Kilbas Department of Mathematics and Mechanics, Belarusian State University, Minsk, Belarus
&
Juan J. Trujillo Departamento de Análisis Matemático, Universidad de La Laguna, La Laguna-Tenerife, Spain
Pages 673-711 | Published online: 07 Feb 2007

Citations (14)

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Read on this site (4)

Loucas Chrysafi & Carlos A. Marques. (2021) Sums of Powers Via Matrices. Mathematics Magazine 94:1, pages 43-52.
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Ricardo Almeida. (2017) Caputo–Hadamard Fractional Derivatives of Variable Order. Numerical Functional Analysis and Optimization 38:1, pages 1-19.
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Shakoor Pooseh, Ricardo Almeida & DelfimF. M. Torres. (2012) Expansion Formulas in Terms of Integer-Order Derivatives for the Hadamard Fractional Integral and Derivative. Numerical Functional Analysis and Optimization 33:3, pages 301-319.
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P. L. Butzer, A. A. Kilbas, L. Rodríguez-Germá & J. J. Trujillo. (2007) Stirling functions of first kind in the setting of fractional calculus and generalized differences. Journal of Difference Equations and Applications 13:8-9, pages 683-721.
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Articles from other publishers (10)

Sadettin Kursun, Ali Aral & Tuncer Acar. (2024) Riemann–Liouville fractional integral type exponential sampling Kantorovich series. Expert Systems with Applications 238, pages 122350.
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Sadettin Kursun, Ali Aral & Tuncer Acar. (2023) Approximation Results for Hadamard-Type Exponential Sampling Kantorovich Series. Mediterranean Journal of Mathematics 20:5.
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Paul L. Butzer & Rudolf L. Stens. (2022) A retrospective on research visits of Paul Butzer’s Aachen research group to Eastern Europe and Tenerife. Sampling Theory, Signal Processing, and Data Analysis 20:2.
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LONG TIAN. (2021) THE ESTIMATES OF HÖLDER INDEX AND THE BOX DIMENSION FOR THE HADAMARD FRACTIONAL INTEGRAL. Fractals 29:03, pages 2150072.
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LONG TIAN. (2020) HÖLDER CONTINUITY AND BOX DIMENSION FOR THE WEYL FRACTIONAL INTEGRAL. Fractals 28:02, pages 2050032.
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Carlo Bardaro, Paul L. Butzer & Ilaria Mantellini. (2015) The Foundations of Fractional Calculus in the Mellin Transform Setting with Applications. Journal of Fourier Analysis and Applications 21:5, pages 961-1017.
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Toufik Mansour & Matthias Schork. 2015. Commutation Relations, Normal Ordering, and Stirling Numbers. Commutation Relations, Normal Ordering, and Stirling Numbers 419 480 .
Ricardo Almeida & Delfim F.M. Torres. (2015) Computing Hadamard type operators of variable fractional order. Applied Mathematics and Computation 257, pages 74-88.
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Udita N. Katugampola. (2015) Mellin transforms of generalized fractional integrals and derivatives. Applied Mathematics and Computation 257, pages 566-580.
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Ricardo Almeida, Agnieszka B. Malinowska & M. Luisa Morgado. (2014) Variational problems with Hadamard type fractional integrals. Variational problems with Hadamard type fractional integrals.

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