Results 81 to 90 of about 549,355 (294)
Weighted hypergeometric functions and fractional derivative
Advances in Difference Equations, 2017 We introduce some weighted hypergeometric functions and the suitable generalization of the Caputo fractional derivation. For these hypergeometric functions, some linear and bilinear relations are obtained by means of the mentioned derivation operator ...
JE Restrepo +3 more
doaj +1 more source
A Class of Extended Hypergeometric Functions and Its Applications [PDF]
arXiv, 2013 Recently, there emerges different versions of beta function and hypergeometric functions containing extra parameters. Gaining enlightenment from these ideas, we will first introduce a new extension of generalized hypergeometric function and then put forward some fundamental results in the paper. Next, we will derive some properties of certain functions
arxiv
Advanced Science, EarlyView.The comprehensive proteomic and N‐glycoproteomic analyses of 45 colorectal cancer tissues with matched normal adjacent tissues identified 7125 intact N‐glycopeptides from 704 glycoproteins. A glycosylation site‐protein function network revealing metabolic dysregulation is constructed and a model differentiating tumors from normal tissues is developed ...
Guobin Liu +10 more
wiley +1 more source
Congruence relations for $p$-adic hypergeometric functions $\widehat{\mathscr{F}}_{a,...,a}^{(σ)}(t)$ and its transformation formula [PDF]
arXiv, 2020 We introduce new kind of $p$-adic hypergeometric functions. We show these functions satisfy congruence relations, so they are convergent functions. And we show that there is a transformation formula between our new $p$-adic hypergeometric functions and $p$-adic hypergeometric functions of logarithmic type defined by M. Asakura in a particular case.
arxiv
Advanced Science, EarlyView.A CTGF‐LYTAC nanoplatform is developed to selectively degrade connective tissue growth factor (CTGF) in triple‐negative breast cancer (TNBC), inhibiting TGF‐β signaling and cell interactions in the tumor microenvironment (TME). This strategy effectively suppresses tumor growth and metastasis, outperforming antibody‐based therapy.
Jia‐Yi Lin +11 more
wiley +1 more source
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
doaj +1 more source
Transformations of hypergeometric elliptic integrals [PDF]
arXiv, 2008 The paper classifies algebraic transformations of Gauss hypergeometric functions with the local exponent differences $(1/2,1/4,1/4)$, $(1/2,1/3,1/6)$ and $(1/3,1/3,1/3)$. These form a special class of algebraic transformations of Gauss hypergeometric functions, of arbitrary high degree.
arxiv
Zeros of $p$-adic hypergeometric functions, $p$-adic analogues of Kummer's and Pfaff's identities [PDF]
arXiv, 2020 We classify all the zeros and non-zero values of a family of hypergeometric series in the $p$-adic setting. These values of hypergeometric series in the $p$-adic setting lead to transformations of hypergeometric series in the $p$-adic setting which can be described as $p$-adic analogues of Kummer's and Pfaff's linear transformations on classical ...
arxiv
Bernoulli inequality and hypergeometric functions [PDF]
Proceedings of the American Mathematical Society, 2013 15 ...
Klen, Riku +3 more
openaire +4 more sources
Advanced Science, EarlyView.In the tripartite‐species model, Drosophila larvae stimulate lactate production through excreting digestion enzymes. S. marcescens population senses a cue of lactate and tends to diverge into virulent and reduced virulence subclusters with remarkable heterogeneity to metabolize carbon metabolism and counter colonization resistance, giving a fitness ...
Sheng Zhang +10 more
wiley +1 more source