Found 35 Documents (Results 1–35)
Investigation for the \(k\)-analogue of \(\tau\)-Gauss hypergeometric matrix functions and associated fractional calculus. (English) Zbl 1536.33013
On the density arising from the domain of attraction of an operator interpolating between sum and supremum: the \(\alpha\)-sun operator. (English) Zbl 1517.60026
A type of fractional kinetic equations associated with the \((p,q)\)-extended \(\tau\)-hypergeometric and confluent hypergeometric functions. (English) Zbl 1485.33002
Unified fractional integral and derivative formulas, integral transforms of incomplete \(\tau \)-hypergeometric function. (English) Zbl 1488.26025
Geometric properties of \(\tau\)-confluent hypergeometric function. (English) Zbl 1456.30030
MSC:
30C45
A new extension of the Pochhammer symbol and its application to hypergeometric functions. (English) Zbl 1428.33005
New properties for several classes of functions related to the Fox-Wright functions. (English) Zbl 1477.33003
On the Wright hypergeometric matrix functions and their fractional calculus. (English) Zbl 1405.15009
New integral representations for the Fox-Wright functions and its applications. (English) Zbl 1400.33022
MSC:
33C60
Fractional calculus and integral transforms of incomplete \(\tau\)-hypergeometric function. (English) Zbl 1396.33003
On properties and applications of \((p, q)\)-extended \(\tau\)-hypergeometric functions. (Sur les propriétés et applications des fonctions \(\tau\)-hypergéométriques \((p, q)\)-étendues.) (English. French summary) Zbl 1392.33005
Reviewer: Chrysoula G. Kokologiannaki (Patras)
Generalized hypergeometric \(k\)-functions via \((k,s)\)-fractional calculus. (English) Zbl 1412.33012
Extended \(\tau\)-hypergeometric functions and associated properties. (Fonctions \(\tau\)-hypergéométriques étendues et leurs propriétés.) (English. French summary) Zbl 1321.33010
Reviewer: M. Abdessadek Saib (Lyon)
Some properties of wright-type generalized hypergeometric function via fractional calculus. (English) Zbl 1417.33001
Some properties and applications of (\(\tau, \beta\))-generalized Legendre functions \(^{\tau, \beta}P_{\nu}^{\mu }(z)\). (English. Russian original) Zbl 1303.33015
J. Math. Sci., New York 194, No. 4, 472-490 (2013); translation from Neliniĭni Kolyvannya 15, No. 4, 556-573 (2012).
Reviewer: Bujar Fejzullahu (Presevo)
Mappings for special functions on Cantor sets and special integral transforms via local fractional operators. (English) Zbl 1295.26008
MSC:
26A33
Note on generalized hypergeometric function. (English) Zbl 1334.33021
Reviewer: Tatiana Hessami Pilehrood (Toronto)
A generalized multiparameter function of Mittag-Leffler type. (English) Zbl 1309.33016
Reviewer: Rajendra Kumar Yadav (Jodhpur)
Some results involving generalized associated Legendre functions. (English) Zbl 1247.33022
Reviewer: Alicia Cachafeiro López (Vigo)
Some new integral transforms with the generalized hypergeometric function. (English) Zbl 1252.33007
Reviewer: Pranay Goswami (Delhi)
MSC:
33C20
Probability distributions involving generalized hypergeometric functions. (Spanish. English summary) Zbl 1508.60017
A further generalization of mixture distributions. (English) Zbl 1208.33009
Reviewer: Rudolf Gorenflo (Berlin)
Generalized gamma-type functions involving Kummer’s confluent hypergeometric function and associated probability distributions. (English) Zbl 1123.33006
On a unified mixture distribution. (English) Zbl 1106.60016
MSC:
60E05
Use of the generalized Lommel-Wright function in a unified presentation of the Gamma-type functions occurring in diffraction theory and associated probability distributions. (English) Zbl 1106.33002
Reviewer: Adem Kilicman (Mengabang Telipot)
On a generalized mixture distribution. (English) Zbl 1078.60013
Reviewer: Romanas Yanushkevichius (Vilnius)
A unified presentation of the gamma-type functions occurring in diffraction theory and associated probability distributions. (English) Zbl 1063.33004
Reviewer: Wolfram Koepf (Kassel)
MSC:
33C15
A generalization of beta-type distribution with \(\omega\)-Appell function. (English) Zbl 1038.33001
Reviewer: Ajendra Nath Srivastava (Puna)
Unified probability density function involving a confluent hypergeometric function of two variables. (English) Zbl 1029.62012
Reviewer: Carlo Sempi (Lecce)
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