Results 31 to 40 of about 5,795,833 (227)
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
doaj
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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A Study of Generalized Hypergeometric Function and its Applications in Vary Disciplines
Shodh SariElementary functions, Bessel functions, Legendre functions and many other special functions are included in the large family of mathematical functions known as generalized hypergeometric functions.
Mr. Mukesh Kumar Mahala +1 more
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ON GENERATING FUNCTIONS OF A GENERAL TRIPLE HYPERGEOMETRIC SERIES
Demonstratio Mathematica, 1988 The authors' main result is a generating relation involving Srivastava's general triple hypergeometric function \(F^{(3)}:\) \[ \sum^{\infty}_{n=0}\frac{(1+\alpha +m)_ n}{n!}F^{(3)}\left[ \begin{matrix} a::b;-;-:-n;-m-n;c-b;\\ c::-;-;-:1+\beta;1+\alpha;-;\end{matrix} x,y,z \right]t^ n= \] \[ =(1-y)^{-a}(1-t)^{-1-\alpha -m} F^{(3)}\left[ \begin{matrix ...
Pathan, M. A., Yasmeen
openaire +2 more sources
On the generalized Gauss hypergeometric function
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2008 In this work the (τ, β)-hypergeometric Gauss function is considered, the basic properties of this function are investigated, some applications are given.
N. A. Virchenko
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Quantifying the Evolutionary Potential for Delta Smelt Persistence in a Warming Habitat. [PDF]
Evol ApplABSTRACT Long‐term persistence of managed species will depend, in part, on whether the species harbors the physiological or genetic potential to adjust to warming temperatures, and whether relevant genetic variation is modified by management practices.
Griffiths JS +6 more
europepmc +2 more sources
Fractional operators with generalized Mittag-Leffler k-function
Advances in Difference Equations, 2019 In this paper, our main aim is to deal with two integral transforms involving the Gauss hypergeometric functions as their kernels. We prove some composition formulas for such generalized fractional integrals with Mittag-Leffler k-function.
Shahid Mubeen, Rana Safdar Ali
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Three General Double-Series Identities and Associated Reduction Formulas and Fractional Calculus
Fractal and Fractional, 2023 In this article, we introduce three general double-series identities using Whipple transformations for terminating generalized hypergeometric 4F3 and 5F4 functions.
Mohd Idris Qureshi +3 more
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Class of Integrals Involving Generalized Hypergeometric Function [PDF]
, 2020 In this paper, we establish some definite integrals involving generalized hypergeometric function, product of algebraic functions, Jacobi function, Legendre function and general class of polynomials.
Amsalu, Hafte +3 more
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Advanced Science, EarlyView.Frontal lobe traumatic brain injury is associated with hyperactivity of an insular–orbitofrontal circuit in both patients and mice. By combination of integrating functional imaging, cell‐type–specific circuit manipulation, single‐cell transcriptomics, and whole‐cell recordings, this work identifies the downregulation of the potassium channel KCNC3 in ...
Meng‐Ge Li +10 more
wiley +1 more source