Results 51 to 60 of about 36,027 (210)
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
doaj +1 more source
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
doaj +1 more source
Further extension of the generalized Hurwitz-Lerch Zeta function of two variables
, 2019 The main aim of this paper is to give a new generalization of Hurwitz-Lerch Zeta function of two variables.Also, we investigate several interesting properties such as integral representations, summation formula and a connection with generalized ...
Nisar, Kottakkaran Sooppy
core +1 more source
Advanced Science, EarlyView.BiSCALE: A pathology‐driven deep learning framework for multi‐scale gene expression prediction from whole‐slide images. It accurately infers bulk and near‐cellular spot‐level expression, links predictions to clinical phenotypes, identifies disease‐associated niches, and enables applications in risk stratification and cell‐identity annotation, providing
Hailong Zheng +8 more
wiley +1 more source
Inequalities for integrals of the modified Struve function of the first kind
, 2018 Simple inequalities for some integrals involving the modified Struve function of the first kind $\mathbf{L}_{\nu}(x)$ are established. In most cases, these inequalities have best possible constant.
Gaunt, Robert E.
core +2 more sources
Advanced Science, EarlyView.This study identifies mutation‐intolerant genes (MIGs), which are mutationally constrained in tumors despite normal‐tissue variability. Using miDriver, the authors pinpoint MIGs essential for tumor‐intrinsic fitness and immune evasion. Focusing on CHEK1, they show it drives tumor fitness and sculpts an immunosuppressive niche via the MIF–CD74 axis ...
Tao Wang +16 more
wiley +1 more source
On Summations of Generalized Hypergeometric Functions with Integral Parameter Differences
MathematicsIn this paper, we present an extension of the Karlsson–Minton summation formula for a generalized hypergeometric function with integral parameter differences.
Kirill Bakhtin, Elena Prilepkina
doaj +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
doaj +1 more source
Inequalities for some basic hypergeometric functions
Проблемы анализа, 2019 We establish conditions for the discrete versions of logarithmic concavity and convexity of the higher order regularized basic hypergeometric functions with respect to the simultaneous shift of all its parameters.
Kalmykov S. I., Karp D. B.
doaj +1 more source
Connection Problem for the Generalized Hypergeometric Function
Funkcialaj Ekvacioj, 2021 We solve connection problem between fundamental solutions at singular points $0$ and $1$ for the generalized hypergeometric function, using analytic continuation of the integral representation. All connection coefficients are products of the sine and the cosecant.
Matsuhira, Y., Nagoya, H.
openaire +2 more sources