Results 31 to 40 of about 4,681 (200)
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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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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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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On the Zeros of Some Generalized Hypergeometric Functions
Journal of Mathematical Analysis and Applications, 2000 The paper is concerned with the confluent hypergeometric function \[ F= {_pF_p}(a_1,\dots, a_p; b_1,\dots, b_p; z). \] It is assumed that the parameters are real, no numerator parameter equals zero or a negative integer, and the denominator parameters are positive.
Ki, Haseo, Kim, Young-One
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Machine Learning for Green Solvents: Assessment, Selection and Substitution
Advanced Science, EarlyView.Environmental regulations have intensified demand for green solvents, but discovery is limited by Solvent Selection Guides (SSGs) that quantify solvent sustainability. Training a machine learning model on GlaxoSmithKline SSG, a database of sustainability metrics for 10,189 solvents, GreenSolventDB is developed. Integrated with Hansen solubility metrics,
Rohan Datta +4 more
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Contiguity Relations for Generalized Hypergeometric Functions [PDF]
Transactions of the American Mathematical Society, 1995 It is well known that the hypergeometric functions \[ 2
Adolphson, Alan, Dwork, Bernard
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Advanced Science, EarlyView.Integrated multi‐omic profiling maps the gene‐regulatory landscape of the coelomic mesothelium across heart, lung, and pancreas. A cardiac‐restricted regulatory program is uncovered in which TBX20 activates heart mesothelial (epicardial) cis‐regulatory elements, while MAF emerges as a conserved regulator of mesothelial identity.
Quang Minh Dang +3 more
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CD4+ Tregs Drive Post‐Ischemic Sprouting Angiogenesis via Endothelial YY1/MAML1 Reactivation
Advanced Science, EarlyView.ABSTRACT Microvascular complications of diabetes are chronic diseases of small vessels. We previously found that CD4+ regulatory T‐cells (Tregs) are markedly reduced in type 2 diabetes (T2D) after ischemic injury in both mice and humans, and that Treg deficiency in immunodeficient mice impairs vascular regeneration.
Hang Qu +10 more
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Researches in MathematicsThe paper considers the classical problem of the rational approximation of analytic functions of complex variable, in particulary, to issues that arise when constructing branched continued fraction expansions for generalized hypergeometric functions ...
Y. Lutsiv +3 more
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