Results 41 to 50 of about 252,882 (243)
On a new class of integrals involving generalized Mittag-Leffler function [PDF]
Surveys in Mathematics and its Applications, 2016 In this paper, we aim at establishing two generalized integral formulae involving generalized Mittag-Leffler function which are expressed in terms of the generalized hypergeometric function and generalized (Wright) hypergeometric function.
Naresh Menaria +2 more
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A Note on Wright-type Generalized q-hypergeometric Function
Известия Иркутского государственного университета: Серия "Математика"In 2001, Virchenko et al. published a paper on a new generalization of Gauss hypergeometric function, namely Wright-type generalized hypergeometric function. Present work aims to define the q-analogue generalized hypergeometric function, which reduces to
K. K. Chaudhary, S. B. Rao
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Generalized Fractional Integral Formulas for the k-Bessel Function
Journal of Mathematics, 2018 The aim of this paper is to deal with two integral transforms involving the Appell function as their kernels. We prove some compositions formulas for generalized fractional integrals with k-Bessel function.
D. L. Suthar, Mengesha Ayene
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On the Volterra-Type Fractional Integro-Differential Equations Pertaining to Special Functions
Fractal and Fractional, 2020 In this article, we apply an integral transform-based technique to solve the fractional order Volterra-type integro-differential equation (FVIDE) involving the generalized Lorenzo-Hartely function and generalized Lauricella confluent hypergeometric ...
Yudhveer Singh +4 more
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Boletim da Sociedade Paranaense de MatemáticaSeveral authors have extensively investigated beta function, hypergeometric function and confluent hypergeometric function, their extensions and generalizations due to their several application in many areas of engineering, probability theory and ...
Savita Panwar +2 more
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A New Class of Extended Hypergeometric Functions Related to Fractional Integration and Transforms
Journal of Mathematics, 2022 The focus of this research is to use a new extended beta function and develop the extensions of Gauss hypergeometric functions and confluent hypergeometric function formulas that are presumed to be new.
Vandana Palsaniya +3 more
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Finite and Infinite Hypergeometric Sums Involving the Digamma Function
Mathematics, 2022 We calculate some finite and infinite sums containing the digamma function in closed form. For this purpose, we differentiate selected reduction formulas of the hypergeometric function with respect to the parameters applying some derivative formulas of ...
Juan Luis González-Santander +1 more
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Some properties of Wright-type generalized hypergeometric function via fractional calculus
, 2014 This paper is devoted to the study of a Wright-type hypergeometric function (Virchenko, Kalla and Al-Zamel in Integral Transforms Spec. Funct. 12(1):89-100, 2001) by using a Riemann-Liouville type fractional integral, a differential operator and Lebesgue
Snehal B. Rao +3 more
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Heun's equation, generalized hypergeometric function and exceptional Jacobi polynomial [PDF]
, 2011 We study Heun's differential equation in the case that one of the singularities is apparent. In particular, we propose a conjecture that solutions of Heun’s equation in this case also satisfy a generalized hypergeometric equation, which can be described ...
K. Takemura
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Integral Representation and Asymptotic Expansion for Hypergeometric Coherent States
Mathematics, 2022 An integral representation is found for hypergeometric coherent states. It contains a generalized hypergeometric function. An asymptotic expansion of hypergeometric coherent states near z=1 is constructed.
Alexander Pereskokov
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