Displaying similar documents to “Hypergeometric τ functions of the q -Painlevé systems of type ( A 2 + A 1 ) ( 1 ) .”

On the Generalized Confluent Hypergeometric Function and Its Application

Virchenko, Nina (2006)

Fractional Calculus and Applied Analysis

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2000 Mathematics Subject Classification: 26A33, 33C20 This paper is devoted to further development of important case of Wright’s hypergeometric function and its applications to the generalization of Γ-, B-, ψ-, ζ-, Volterra functions.

Krätzel Function as a Function of Hypergeometric Type

Kilbas, Anatoly, Saxena, R. K., Trujillo, Juan (2006)

Fractional Calculus and Applied Analysis

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2000 Mathematics Subject Classification: 33C60, 33C20, 44A15 The paper is devoted to the study of the function Zνρ(x) defined for positive x > 0, real ρ ∈ R and complex ν ∈ C, being such that Re(ν) < 0 for ρ ≤ 0, [...] Such a function was earlier investigated for ρ > 0. Using the Mellin transform of Zνρ(x), we establish its representations in terms of the H-function and extend this function from positive x > 0 to complex z. The results obtained, being different...

On some Mixture Distributions

Nakhi, Y. Ben, Kalla, S.L. (2004)

Fractional Calculus and Applied Analysis

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The aim of this paper is to establish some mixture distributions that arise in stochastic processes. Some basic functions associated with the probability mass function of the mixture distributions, such as k-th moments, characteristic function and factorial moments are computed. Further we obtain a three-term recurrence relation for each established mixture distribution.