Results 71 to 80 of about 278,807 (229)
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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Advanced Science, EarlyView.Doxorubicin‐induced cardiomyopathy involves mitochondrial energy metabolism dysfunction, exacerbated by cardiomyocyte‐specific Slc25a49 deficiency via oxidative phosphorylation (OXPHOS) suppression and glycolysis activation. The Slc25a49–glucose‐6‐phosphate (G6P)–activator protein‐1 (AP‐1) axis drives myocardial injury by upregulating Sln, disrupting ...
Sitong Wan +16 more
wiley +1 more source
Generalized Dirac Oscillator in Cosmic String Space-Time
Advances in High Energy Physics, 2018 In this work, the generalized Dirac oscillator in cosmic string space-time is studied by replacing the momentum pμ with its alternative pμ+mωβfμxμ. In particular, the quantum dynamics is considered for the function fμxμ to be taken as Cornell potential ...
Lin-Fang Deng +3 more
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Aspects of elliptic hypergeometric functions [PDF]
, 2013 General elliptic hypergeometric functions are defined by elliptic hypergeometric integrals. They comprise the elliptic beta integral, elliptic analogues of the Euler-Gauss hypergeometric function and Selberg integral, as well as elliptic extensions of ...
Spiridonov, V. P.
core
Axion‐Like Interactions and CFT in Topological Matter, Anomaly Sum Rules and the Faraday Effect
Advanced Physics Research, EarlyView.This review investigates the connection between chiral anomalies and their manifestation in topological materials, using both perturbative methods based on ordinary quantum field theory and conformal field theory (CFT). It emphasizes the role of CFT in momentum space for parity‐odd correlation functions, and their reconstruction by the inclusion of a ...
Claudio Corianò +4 more
wiley +1 more source
A new generalization of generalized hypergeometric functions
Le Matematiche, 1997 In this paper a natural generalization of the familiar H -function of Fox namely the I -function is proposed. Convergence conditions, various series representations, elementary properties and special cases for the I -function have also been given.
openaire +3 more sources
Applications of q-difference equation and homogeneous q-shift operator rΦs(Dxy) in q-polynomials
Partial Differential Equations in Applied Mathematics, 2023 In this paper, the generalized homogeneous q-shift operator is constructed. The q-difference equation is then utilized to construct numerous polynomial q-identities, such as the generating function and its extension, Rogers’ formula and its extension ...
Samaher A. Abdul-Ghani, Husam L. Saad
doaj
, 2018 We examine the expansions of the solutions of the general Heun equation in terms of the Gauss hypergeometric functions. We present several expansions using functions, the forms of which differ from those applied before.
Ishkhanyan, A. M. +2 more
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Jaccard dissimilarity in stochastic community models based on the species‐independence assumption
Ecography, EarlyView.A fundamental problem in ecology is understanding the changes in species composition among sites (i.e. beta‐diversity). It is unclear how spatial heterogeneity in species occupancy across sites shapes patterns of beta‐diversity. To address this question, we develop probabilistic models that consider two spatial or temporal sites, where presence ...
Ryosuke Iritani +5 more
wiley +1 more source
Derivatives of any Horn-type hypergeometric functions with respect to their parameters
Nuclear Physics B, 2020 We consider the derivatives of Horn hypergeometric functions of any number of variables with respect to their parameters. The derivative of such a function of n variables is expressed as a Horn hypergeometric series of n+1 infinite summations depending ...
Vladimir V. Bytev, Bernd A. Kniehl
doaj