Extende beta, hypergeometric and confluent hypergeometric functions

zbMath1427.33002arXiv1901.07397MaRDI QIDQ5206853

M. Aman, Nabiullah Khan, Talha Usman

Publication date: 18 December 2019

Full work available at URL: https://arxiv.org/abs/1901.07397

zbMATH Keywords

beta functiongamma functionhypergeometric functionconfluent hypergeometric functionbeta distributionMellin transformation

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Gamma, beta and polygamma functions (33B15) Other functions defined by series and integrals (33E20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Classical hypergeometric functions, ({}_2F_1) (33C05) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Related Items (6)

Evaluation of transforms and fractional calculus of new extended Wright function ⋮ Extensions of beta and related functions ⋮ Results concerning multi-index Wright generalized Bessel function ⋮ Generalized Wright Function and Its Properties Using Extended Beta Function ⋮ Integral transforms and probability distributions involving a generalized hypergeometric function ⋮ Some inequalities involving two generalized beta functions in \(n\) variables

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