Extended incomplete Riemann-Liouville fractional integral operators and related special functions

DOI10.3934/era.2022087OpenAlexW4226419049WikidataQ114022599 ScholiaQ114022599MaRDI QIDQ2696701

Mehmet Ali Özarslan, Ceren Ustaoglu

Publication date: 17 April 2023

Published in: Electronic Research Archive (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/era.2022087

zbMATH Keywords

generating functionsextended incomplete Appell's functionsextended incomplete hypergeometric functionsincomplete fractional calculus

Mathematics Subject Classification ID

Real functions (26-XX) Special functions (33-XX)

Related Items (1)

Incomplete Caputo fractional derivative operators

Cites Work

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• Some classes of generating functions associated with a certain family of extended and generalized hypergeometric functions
• A class of extended fractional derivative operators and associated generating relations involving hypergeometric functions
• Some extended Pochhammer symbols and their applications involving generalized hypergeometric polynomials
• A certain generalized Pochhammer symbol and its applications to hypergeometric functions
• Extension of gamma, beta and hypergeometric functions
• Some generating relations for extended hypergeometric functions via generalized fractional derivative operator
• Extension of Euler's beta function
• Extended hypergeometric and confluent hypergeometric functions
• A comparative study on generating function relations for generalized hypergeometric functions via generalized fractional operators
• Incomplete Caputo fractional derivative operators
• A \((p, q)\)-extension of Srivastava's triple hypergeometric function \(H_B\) and its properties
• Generating functions for a certain class of incomplete hypergeometric polynomials
• Some generalized fractional integral Simpson's type inequalities with applications
• A new collection of real world applications of fractional calculus in science and engineering
• The incomplete second Appell hypergeometric functions
• FRACTIONAL CALCULUS OPERATORS AND THEIR IMAGE FORMULAS
• The incomplete Pochhammer symbols and their applications to hypergeometric and related functions
• Incomplete Laplace Integrals: Uniform Asymptotic Expansion with Application to the Incomplete Beta Function
• On the analytical development of incomplete Riemann–Liouville fractional calculus
• Some applications of Srivastava’s theorem involving a certain family of generalized and extended hypergeometric polynomials

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