Results 51 to 60 of about 278,807 (229)
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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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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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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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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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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Born-Oppenheimer Approximation near Level Crossing [PDF]
, 2000 We consider the Born-Oppenheimer problem near conical intersection in two dimensions. For energies close to the crossing energy we describe the wave function near an isotropic crossing and show that it is related to generalized hypergeometric functions ...
A. Gordon +26 more
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Some new inequalities for the generalized Fox-Wright functions
AIMS Mathematics, 2021 In this article, we establish the inequalities of the Redheffer-type involving generalized Fox-Wright function. Furthermore, as a consequence, new Redheffer-type inequalities for generalized hypergeometric functions and the four-parametric generalized ...
Saima Naheed +4 more
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A generalization of Clausen's identity
, 2009 The paper aims to generalize Clausen's identity to the square of any Gauss hypergeometric function. Accordingly, solutions of the related 3rd order linear differential equation are found in terms of certain bivariate series that can reduce to 3F2 series ...
G.E. Andrews +6 more
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