On the Generalized Associated Legendre Functions [PDF]
, 2008 Mathematics Subject Classification: 33C60, 33C20, 44A15This paper is devoted to an important case of Wright’s hypergeometric function 2Fτ,β1(a, b; c; z) = 2Fτ,β1(z), to studying its basic properties and to application of 2Fτ,β1(z) to the generalization ...
Virchenko, Nina, Rumiantseva, Olena
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Solutions of certain initial-boundary value problems via a new extended Laplace transform
Nonlinear EngineeringIn this article, we present a novel extended exponential kernel Laplace-type integral transform. The Laplace, natural, and Sumudu transforms are all included in the suggested transform.
Almalki Yahya +2 more
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Certain Properties of Fractional Calculus Operators Associated with Generalized Mittag-Leffler Function [PDF]
, 2005 Mathematics Subject Classification: 26A33, 33E12, 33C20.It has been shown that the fractional integration and differentiation operators transform such functions with power multipliers into the functions of the same form. Some of the results given earlier
Saigo, Megumi, Saxena, R. K.
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On Hankel Transform of Generalized Mathieu Series [PDF]
, 2009 Mathematics Subject Classification: Primary 33E20, 44A10; Secondary 33C10, 33C20, 44A20By using integral representations for several Mathieu type series, a number of integral transforms of Hankel type are derived here for general families of Mathieu ...
Tomovski, Živorad
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An Analog of the Tricomi Problem for a Mixed Type Equation with a Partial Fractional Derivative [PDF]
, 2010 Mathematics Subject Classification 2010: 35M10, 35R11, 26A33, 33C05, 33E12, 33C20.The paper deals with an analog of Tricomi boundary value problem for a partial differential equation of mixed type involving a diffusion equation with the Riemann-Liouville
Repin, Oleg, Kilbas, Anatoly
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Fractional Integration of the Product of Bessel Functions of the First Kind [PDF]
, 2010 Dedicated to 75th birthday of Prof. A.M. Mathai, Mathematical Subject Classification 2010:26A33, 33C10, 33C20, 33C50, 33C60, 26A09Two integral transforms involving the Gauss-hypergeometric function in the kernels are considered.
Sebastian, Nicy, Kilbas, Anatoly
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Generalized Hypergeometric Factorial Moment Distribution of Order k
, 2000 Here we introduce the generalized hypergeometric functional moment distribution of order k (GHFMD (k)) in the distribution of the random sum [Formula: see text] having Hira no's k-point distribution, where N, independent of X j's, has the generalized ...
T. S. K. Moothathu, C. Satheesh Kumar
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Fractional Calculus of the Generalized Wright Function [PDF]
, 2005 Mathematics Subject Classification: 26A33, 33C20.The paper is devoted to the study of the fractional calculus of the generalized Wright function pΨq(z) defined for z ∈ C, complex ai, bj ∈ C and real αi, βj ∈ R (i = 1, 2, · · · p; j = 1, 2, · · · , q) by ...
Kilbas, Anatoly
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© Hindawi Publishing Corp. ASYMPTOTIC EXPANSIONS FOR RATIOS OF PRODUCTS OF GAMMA FUNCTIONS
, 2002 An asymptotic expansion for a ratio of products of gamma functions is derived. 2000 Mathematics Subject Classification: 33B15, 33C20. 1. Introduction. An asymptotic expansion for a ratio of products of gamma functions has recently been found [2], which ...
Wolfgang Bühring
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Fractional Calculus of P-transforms [PDF]
, 2010 MSC 2010: 44A20, 33C60, 44A10, 26A33, 33C20, 85A99The fractional calculus of the P-transform or pathway transform which is a generalization of many well known integral transforms is studied. The Mellin and Laplace transforms of a P-transform are obtained.
Kumar, Dilip, Kilbas, Anatoly
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