Results 81 to 90 of about 96,198 (304)
ON CONTIGUITY RELATIONS FOR GENERALIZED HYPERGEOMETRIC FUNCTIONS
Проблемы анализа, 2018 We derive formulas that generalize contiguity relations of Gauss hypergeometric functions to the case of hypergeometric functions satisfying differential equations of arbitrary order and also of solution matrices of their corresponding homogeneous ...
V. A. Gorelov
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Investigation of Fractional Calculus for Extended Wright Hypergeometric Matrix Functions
Abstract and Applied Analysis, 2023 Throughout this paper, we will present a new extension of the Wright hypergeometric matrix function by employing the extended Pochhammer matrix symbol. First, we present the extended hypergeometric matrix function and express certain integral equations ...
Mohamed Niyaz +2 more
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, 2014 HYPERDIRE is a project devoted to the creation of a set of Mathematica-based programs for the differential reduction of hypergeometric functions. The current version allows for manipulations involving the full set of Horn-type hypergeometric functions of
Bytev, V., Kniehl, B.
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Advanced Science, EarlyView.The Irisin/Ce‐MBGNs delivery system can slowly release myokine Irisin for vital pulp therapy. Irisin/Ce‐MBGNs can enhance mitochondrial function and promote the differentiation of inflammatory macrophages toward M2‐Mφ, thereby regulating the immune response mechanism of inflamed dental pulp.
Mingxin Wang +9 more
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Distributions of the Ratio and Product of Two Independent Weibull and Lindley Random Variables
Journal of Probability and Statistics, 2020 In this paper, we derive the cumulative distribution functions (CDF) and probability density functions (PDF) of the ratio and product of two independent Weibull and Lindley random variables.
N. J. Hassan +2 more
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Computing Hypergeometric Functions Rigorously [PDF]
ACM Transactions on Mathematical Software, 2019 We present an efficient implementation of hypergeometric functions in arbitrary-precision interval arithmetic. The functions 0 F 1 , 1 F 1 , 2 F 1 , and 2 F 0
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Advanced Science, EarlyView.Peripheral nerve injury necessitates alternatives to autografts. This study combines magnetic nanoparticles, oriented PCL fibers, and Ppy to create a conductive, magnetically active scaffold. In vitro and in vivo experiments demonstrated enhanced downstream pathways of calcium signaling, as revealed by transcriptome analysis.
Zheyuan Fan +4 more
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Some Summation Theorems for Generalized Hypergeometric Functions
Axioms, 2018 Essentially, whenever a generalized hypergeometric series can be summed in terms of gamma functions, the result will be important as only a few such summation theorems are available in the literature. In this paper, we apply two identities of generalized
Mohammad Masjed-Jamei, Wolfram Koepf
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Advanced Science, EarlyView.The premature aging‐related progerin leads to defective nuclear morphology and is associated with disrupted molecular coupling between the extranuclear cytoskeleton and lamin‐associated nuclear envelope. It is discovered that progerin expression reduces nuclear tension, forms nuclear wrinkling, and enhances chromatin dynamics, thereby regulating ...
Ji‐Eun Park +9 more
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Recursion formulas for certain quadruple hypergeometric functions
Advances in Difference Equations, 2021 A remarkably large number of hypergeometric (and generalized) functions and a variety of their extensions have been presented and investigated in the literature by many authors.
Jihad Younis +4 more
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