Degenerate Pochhammer symbol, degenerate Sumudu transform, and degenerate hypergeometric function with applications

DOI10.15672/hujms.738030zbMath1499.33023OpenAlexW3203800316MaRDI QIDQ5071979

Recep Sahin, Oğuz Yağcı

Publication date: 22 April 2022

Published in: Hacettepe Journal of Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15672/hujms.738030

zbMATH Keywords

Laplace transformStieltjes transformbeta functiongamma functiongenerating functiongeneralized hypergeometric functionLaguerre transformdegenerate hypergeometric functiondegenerate gamma functiondegenerate Laplace transformfractional calculus operatordegenerate Pochhammer symboldegenerate Sumudu transform

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Generalized hypergeometric series, ({}_pF_q) (33C20) Applications of hypergeometric functions (33C90) Classical hypergeometric functions, ({}_2F_1) (33C05) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Cites Work

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• Generating functions for the generalized Gauss hypergeometric functions
• A certain generalized Pochhammer symbol and its applications to hypergeometric functions
• Several identities involving the falling and rising factorials and the Cauchy, Lah, and Stirling numbers
• Degenerate Laplace transform and degenerate gamma function
• Certain class of generating functions for the incomplete hypergeometric functions
• Sumudu transform in fractal calculus
• Special values of the Bell polynomials of the second kind for some sequences and functions
• A new extension of the Pochhammer symbol and its application to hypergeometric functions
• A new generalization of Pochhammer symbol and its applications
• Fractional calculus of the extended hypergeometric function
• The H-Function
• Sumudu transform: a new integral transform to solve differential equations and control engineering problems
• Operators of fractional integration and their applications

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