scientific article; zbMATH DE number 7363740
zbMath1470.33007MaRDI QIDQ4997069
Tibor K. Pogány, Arjun K. Rathie
Publication date: 28 June 2021
Full work available at URL: http://scientia.mat.utfsm.cl/archivos/vol30/5.pdf
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
generalized hypergeometric functionKampé de Fériet functionLauricella hypergeometric functiontriple seriesSrivastava-Daoust double hypergeometric function
Gamma, beta and polygamma functions (33B15) Generalized hypergeometric series, ({}_pF_q) (33C20) Classical hypergeometric functions, ({}_2F_1) (33C05) Appell, Horn and Lauricella functions (33C65) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)
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- A reduction formula for the Kampé de Fériet function
- Transformation of Kampé de Fériet function
- Ordinary and basic bivariate hypergeometric transformations associated with the Appell and Kampé de Fériet functions
- Automatic generation of hypergeometric identities by the beta integral method.
- Further reducible cases of certain Kampé de Fériet functions associated with incomplete integrals of cylindrical functions
- Reduction formulas for Kampé de Fériet functions associated with certain classes of incomplete Lipschitz-Hankel type integrals of cylindrical functions
- Transformation and summation formulas for Kampé de Fériet series \(F^{0:3}_{1:1} (1,1)\)
- On the definite integral of two confluent hypergeometric functions related to the Kampé de Fériet double series
- Transformation and summation formulae for Kampé de Fériet series
- Remarks on the stable \(S_{\alpha}(\beta, \gamma, \mu)\) distribution
- Ininite series of Kampé de Fériet's double hypergeometric function of higher order
- Integrals involving \(E\)-functions and Kampé de Fériet's functions of higher order
- Integration of Kampé de Fériet's hypergeometric functions with regard to their parameters
- ON THE REDUCIBILITY OF KAMPÉ DE FÉRIET FUNCTION
- Reduction of Certain Generalized Kampé de Fériet Functions.
- On a reducibility of the Kampé de Fériet function
- Series identities and reducibility of Kampé de Fériet functions
- An Integral Representation for the Product of Two Jacobi Polynomials†
- Hypergeometric solutions for Coulomb self-energy model of uniformly charged hollow cylinder
- TWO GENERAL RESULTS INVOLVING SQUARE OF GENERALIZED HYPERGEOMETRIC SERIES AND A COMPANION RESULT
- Reducibility of certain Kampé de Fériet function with an application to generating relations for products of two Laguerre polynomials
- Expansions Involving Hypergeometric Functions of Two Variables
- A Note on the Convergence of KAMPÉ DE FÉRIET's Double Hypergeometric Series
- Expansions of Kampé de Feriet's Double Hypergeometric Function of Higher Order.
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