Results 41 to 50 of about 6,079,712 (233)
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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Fractional Calculus of the Extended Hypergeometric Function
, 2020 Here, our aim is to demonstrate some formulae of generalization of the extended hypergeometric function by applying fractional derivative operators. Furthermore, by applying certain integral transforms on the resulting formulas and develop a new futher ...
Sahin, Recep +3 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
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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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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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SAV1 in Cooperation With FKBP52 Participates in Implantation
Advanced Science, EarlyView.The MST‐SAV1 complex modulates FKBP52 phosphorylation to fine‐tune PR activity, ensuring timely uterine transition to receptivity under estrogen signaling for implantation. Stromal SAV1 scaffolds MST1/2‐mediated FKBP52 phosphorylation via noncanonical Hippo to promote PR activity.
Yuhan Shao +10 more
wiley +1 more source
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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On Hypergeometric Functions and Generalizations of Legendre's Relation
Journal of Mathematical Analysis and Applications, 2001 The authors consider a function introduced by \textit{G. D. Anderson}, \textit{S.-L. Qiu}, \textit{M. K. Vamanamurthu} and \textit{M. Vuorinen} [Pac. J. Math. 192, No. 1, 1-37 (2000; Zbl 0951.33012)], viz., \[ \begin{multlined} {\mathcal L}(a,b,c,r)= {_2F_1}[a- 1,b; c;r]{_2F_1}[a, b;c; 1-r]+ {_2F_1}[a- 1,b; c;1-r]{_2F_1}[a, b;c,r]-\\ {_2F_1}[a, b;c,r ...
Karatsuba, E.A, Vuorinen, M
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INTEGRAL INVOLVING ALEPH-FUNCTION AND THE GENERALIZED INCOMPLETE HYPERGEOMETRIC FUNCTION
, 2021 The aim of this paper is to establish a general definite integrals involving product of the Aleph function and generalized incomplete hypergeometric function with general arguments.
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Advanced Science, EarlyView.Bulk and genotype‐imputed transcriptomes obscure the cellular drivers of complex disease. CausalCellInfer resolves them by integrating invariant marker selection, deep learning deconvolution, and regularized matrix completion. Applied to ∼500 000 UK Biobank participants across 29 traits, it uncovers hallmark cell‐type proportion shifts, including ...
Liangying Yin +6 more
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