Results 1 to 10 of about 33,268 (232)
The Integral Mittag-Leffler, Whittaker and Wright Functions [PDF]
Mathematics, 2021 Integral Mittag-Leffler, Whittaker and Wright functions with integrands similar to those which already exist in mathematical literature are introduced for the first time. For particular values of parameters, they can be presented in closed-form.
Alexander Apelblat +1 more
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New integral representations of Whittaker functions for classical Lie groups [PDF]
Russian Mathematical Surveys, 2012 100 ...
Gerasimov, A., Lebedev, D., Oblezin, S.
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Whittaker-Type Differential Equation: A Solution via Integral Functions
AppliedMathIn this study, we consider and analyze an inhomogeneous Whittaker-type differential equation of the form d2y(x)dx2+1xdy(x)dx−α2x2−β2y(x)=g(x), where α and β are given parameters.
M. S. Abu Zaytoon +2 more
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Axioms, 2023 In the first part of this investigation, we considered the parameter differentiation of the Whittaker function Mκ,μx. In this second part, first derivatives with respect to the parameters of the Whittaker function Wκ,μx are calculated.
Alexander Apelblat +1 more
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Axioms, 2023 In this paper, first derivatives of the Whittaker function Mκ,μx are calculated with respect to the parameters. Using the confluent hypergeometric function, these derivarives can be expressed as infinite sums of quotients of the digamma and gamma ...
Alexander Apelblat +1 more
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Results Concerning the Analysis of Multi-Index Whittaker Function
Journal of Mathematics, 2022 A variety of functions, their extensions, and variants have been extensively investigated, mainly due to their potential applications in diverse research areas.
Nabiullah Khan +3 more
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Construction of Generalized k-Bessel–Maitland Function with Its Certain Properties
Journal of Mathematics, 2021 The main motive of this study is to present a new class of a generalized k-Bessel–Maitland function by utilizing the k-gamma function and Pochhammer k-symbol.
Waseem Ahmad Khan +4 more
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On multi-index Whittaker function, related integrals and inequalities
Journal of Mathematical Inequalities, 2022 A new generalization of Whittaker function M_{; ; ; \lambda, \mu}; ; ; (z) is introduced and studied by means of the extended multi-index confluent hypergeometric function of the first kind \Phi_{; ; ; (\alpha_i, \beta_i)}; ; ; ^{; ; ; (\gamma_i), p}; ; ; introduced in [1].
Ali, Musharraf +2 more
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Integral transforms of an extended generalized multi-index Bessel function
AIMS Mathematics, 2020 In this paper, we discuss the extended generalized multi-index Bessel function by using the extended beta type function. Then we investigate its several properties including integral representation, derivatives, beta transform, Laplace transform, Mellin ...
Shahid Mubeen +5 more
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Integral operators involving Whittaker functions [PDF]
Glasgow Mathematical Journal, 1983 We define the integral operators and asandwhereand Wk, u and Mk, u are the Whittaker's confluent hyper-geometric functions. These operators, in their slightly less general form, have been dealt with in [2] and [4]. There the authors have used the fact that these integral operators can be expressed as compositions of the Kober's fractional integral ...
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