Results 71 to 80 of about 527,794 (256)
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
Exact solution of the Schr\"odinger equation for the inverse square root potential $V_0/{\sqrt{x}}$
, 2015 We present the exact solution of the stationary Schr\"odinger equation equation for the potential $V=V_0/{\sqrt{x}}$. Each of the two fundamental solutions that compose the general solution of the problem is given by a combination with non-constant ...
Ishkhanyan, A. M.
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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
Advances in Difference Equations, 2018 In this paper, we present further generalizations of the beta function; Riemann–Liouville, Caputo and Kober–Erdelyi fractional operators by using confluent hypergeometric function with six parameters.
Ayşegül Çetinkaya +3 more
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Sum representations of Appell-Lauricella functions over finite fields using confluent hypergeometric functions and their applications [PDF]
arXiv, 2023 We prove sum representations of Appell-Lauricella functions over a finite field using confluent hypergeometric functions over the finite field. As an application, we also prove transformation formulas, summation formulas and reduction formulas for Appell-Lauricella functions over the finite field.
arxiv
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
wiley +1 more source
A MATLAB program for the computation of the confluent hypergeometric function Φ2 [PDF]
, 2016 We here present a sample MATLAB program for the numerical evaluation of the confluent hypergeometric function Φ2. This program is based on the calculation of the inverse Laplace transform using the algorithm suggested by Simon and Alouini in their ...
Lopez-Martinez, F. Javier +3 more
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Chemistry–Methods, EarlyView.A deep learning‐based method Siamese transformer reaction pair (STRP) prediction is presented for identifying important pathways in untargeted LC‐MS/MS metabolomics. STRP accurately predicts metabolic reaction pairs from known metabolites and tandem mass spectra of unannotated metabolic features, which enhance the utility of untargeted metabolomics ...
Han Bao +7 more
wiley +1 more source
Convexity and inequalities related to extended beta and confluent hypergeometric functions
AIMS Mathematics, 2019 In the paper, the authors establish the logarithmic convexity and some inequalities for the extended beta function and, by using these inequalities for the extended beta function, find the logarithmic convexity and the monotonicity for the extended ...
Feng Qi +2 more
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Zeros of Ramanujan Type Entire Functions
, 2016 In this work we establish some polynomials and entire functions have only real zeros. These polynomials generalize q-Laguerre polynomials $L_{n}^{(\alpha)}(x;q)$, while the entire functions are generalizations of Ramanujan's entire function $A_{q}(z)$, q-
Zhang, Ruiming
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