On the extended Appell-Lauricella hypergeometric functions and their applications

DOI10.2298/FIL1712693AzbMath1488.33045OpenAlexW2339457262WikidataQ62617547 ScholiaQ62617547MaRDI QIDQ5162027

Min-Jie Luo, Praveen Agarwal, Ravi P. Agarwal

Publication date: 1 November 2021

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1712693a

zbMATH Keywords

generating functionsLaguerre polynomialsLagrange polynomialsfractional integral operatorsextended beta functionsextended Appell-Lauricella hypergeometric functionsSrivastava-Daoust generalized Lauricella functions

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Other hypergeometric functions and integrals in several variables (33C70) Appell, Horn and Lauricella functions (33C65)

Related Items (9)

Certain integral representations involving hypergeometric functions in two variables ⋮ A study on certain properties of generalized special functions defined by Fox-Wright function ⋮ Complete monotonicity related to the \(k\)-polygamma functions with applications ⋮ A new Riemann-Liouville type fractional derivative operator and its application in generating functions ⋮ Incomplete Caputo fractional derivative operators ⋮ On Mathieu-type series for the unified Gaussian hypergeometric functions ⋮ Unnamed Item ⋮ ON SOME FORMULAS FOR THE GENERALIZED APPELL TYPE FUNCTIONS ⋮ Extension of Exton’s hypergeometric function K16

Uses Software

• DLMF

Cites Work

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• Some results on the extended beta and extended hypergeometric functions
• A class of extended fractional derivative operators and associated generating relations involving hypergeometric functions
• Some generating relations for extended hypergeometric functions via generalized fractional derivative operator
• Some families of bilinear and bilateral generating functions
• A note on the convergence of certain families of multiple hypergeometric series
• Transformation and summation formulas for Kampé de Fériet series \(F^{0:3}_{1:1} (1,1)\)
• Two new multivariable generating relations
• On certain classes of fractional kinetic equations
• Chan–Chyan–Srivastava multivariable polynomials associated with a certain family of partial differential operators
• Bilateral generating functions for the Lagrange polynomials and the Lauricella functions
• Some new results for the Lagrange polynomials in several variables
• The lagrange polynomials in several variables
• The History of the Dirichlet and Liouville Distributions
• Some Umbral Calculus Presentations of the Chan-Chyan-Srivastava Polynomials and the Erkuș-Srivastava Polynomials
• A Note on the Convergence of KAMPÉ DE FÉRIET's Double Hypergeometric Series
• On Some Expansions in Laguerre Polynomials

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