Results 41 to 50 of about 41,148 (275)
Fractal and Fractional, 2022 A new auxiliary result pertaining to twice (q1,q2)-differentiable functions is derived. Using this new auxiliary result, some new versions of Hermite–Hadamard’s inequality involving the class of generalized m-convex functions are obtained.
Muhammad Uzair Awan +5 more
doaj +1 more source
, 2006 Single variable hypergeometric functions pFq arise in connection with the power series solution of the Schrodinger equation or in the summation of perturbation expansions in quantum mechanics.
Abramowitz M. +6 more
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An extension of Pochhammer’s symbol and its application to hypergeometric functions
Filomat, 2017 By using a special property of the gamma function, we first define a productive form of gamma and beta functions and study some of their general properties in order to define a new extension of the Pochhammer symbol. We then apply this extended symbol for generalized hypergeometric series and study the convergence problem with some ...
Mohammad Masjed-Jamei +1 more
openaire +4 more sources
Computation of the Generalized F Distribution
, 1999 Exact expressions are given for the distribution function of the ratio of a weighted sum of independent chi-squared variables to a single chi-square variable, scaled appropriately.
Dunkl, Charles F., Ramirez, Donald E.
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Selberg integrals, super-hypergeometric functions and applications to β-ensembles of random matrices [PDF]
Random Matrices: Theory and Applications, 2015 We study a new Selberg-type integral with n + m indeterminates, which turns out to be related to the deformed Calogero–Sutherland systems. We show that the integral satisfies a holonomic system of n + m non-symmetric linear partial differential equations. We also prove that a particular hypergeometric function defined in terms of super-Jack polynomials
Desrosiers, Patrick, Liu, Dang-Zheng
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Molecular Oncology, EarlyView.Glioma cells mainly express the endothelin receptor EDNRB, while EDNRA is restricted to a perivascular tumor subpopulation. Endothelin signaling reduces glioma cell proliferation while promoting migration and a proneural‐to‐mesenchymal transition associated with poor prognosis. This pathway activates Ca2+, K+, ERK, and STAT3 signalings and is regulated
Donovan Pineau +36 more
wiley +1 more source
Applications of generalized trigonometric functions with two parameters II
, 2019 Generalized trigonometric functions (GTFs) are simple generalization of the classical trigonometric functions. GTFs are deeply related to the $p$-Laplacian, which is known as a typical nonlinear differential operator. Compared to GTFs with one parameter,
Takeuchi, Shingo
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Recurrence relations for discrete hypergeometric functions [PDF]
, 2005 We present a general procedure for finding linear recurrence relations for the solutions of the second order difference equation of hypergeometric type.
Santos Cardoso, José Luis dos +1 more
core +2 more sources
An application of hypergeometric functions to a problem in function theory [PDF]
International Journal of Mathematics and Mathematical Sciences, 1981 In some recent work in univalent function theory, Aharonov, Friedland, and Brannan studied the series . Brannan posed the problem of determining . Brannan showed that if β ≥ α ≥ 0, and α + β ≥ 2, then (α, β) ∈ S. He also proved that (α, 1) ∈ S for α ≥ 1.
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FEBS Open Bio, EarlyView.Activation of the mitochondrial protein OXR1 increases pSyn129 αSynuclein aggregation by lowering ATP levels and altering mitochondrial membrane potential, particularly in response to MSA‐derived fibrils. In contrast, ablation of the ER protein EMC4 enhances autophagic flux and lysosomal clearance, broadly reducing α‐synuclein aggregates.
Sandesh Neupane +11 more
wiley +1 more source