Results 51 to 60 of about 60,471 (199)
Advanced Science, EarlyView.GNL3 is a novel AR coregulator with dual coactivator and corepressor functions in prostate cancer (PCa). Our study uncovers a previously unrecognized mechanism by which the AR transcriptional complex integrates oncogenic signaling and immune suppression.
Cuiting Zhang +12 more
wiley +1 more source
Advances in High Energy Physics, 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.
T. A. Ishkhanyan +2 more
doaj +1 more source
On Matrices Arising in the Finite Field Analogue of Euler’s Integral Transform
Mathematics, 2013 In his 1984 Ph.D. thesis, J. Greene defined an analogue of the Euler integral transform for finite field hypergeometric series. Here we consider a special family of matrices which arise naturally in the study of this transform and prove a conjecture of ...
Michael Griffin, Larry Rolen
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Extending Gaussian hypergeometric series to the $p$-adic setting
, 2012 We define a function which extends Gaussian hypergeometric series to the $p$-adic setting. This new function allows results involving Gaussian hypergeometric series to be extended to a wider class of primes.
Ahlgren S. +3 more
core +1 more source
A BioLiving Periosteum Evokes Centripetal Regeneration in Challenging Bone Defects
Advanced Science, EarlyView.Large bone defects often suffer from insufficient central healing. This study engineers a BioLiving periosteum that mimics the native structure. It sequentially delivers remote chemical cues and contact physical cues in a signaling‐relay manner, effectively recruiting and guiding endogenous cells toward the defect center.
Yang Shi +12 more
wiley +1 more source
Resolution of an Isolated Case of a Quadratic Hypergeometric 2F1 Transformation
Axioms, 2022 The identity 2F1(α,β;2α;z)=(1−z2)−β2F1(β2,β+12;α+12;(z2−z)2) given, either by I.S. Gradshteyn and I.M. Ryzhik in Table of integrals series and products named 9.134 or in the handbook “mathematical functions with formulas, graphs and mathematical tables ...
Mohamed Jalel Atia
doaj +1 more source
Gaussian Hypergeometric series and supercongruences [PDF]
Mathematics of Computation, 2009 Let p be an odd prime. In 1984, Greene introduced the notion of hypergeometric functions over finite fields. Special values of these functions have been of interest as they are related to the number of F_p points on algebraic varieties and to Fourier coefficients of modular forms.
Osburn, Robert, Schneider, Carsten
openaire +5 more sources
Microglial GPR35 Ameliorates Epileptogenesis and Neuroinflammation via PDGFA Domain 2 Signaling
Advanced Science, EarlyView.Activation of microglial G protein–coupled receptor 35 (GPR35) by L‐kynurenic acid (L‐Kyna) initiates a platelet‐derived growth factor A (PDGFA)–dependent phosphoinositide 3‐kinase–protein kinase B (PI3K–AKT) signaling cascade that dampens hippocampal neuroinflammation, thereby restraining epileptogenesis, lowering seizure susceptibility, and ...
Qi Wang +17 more
wiley +1 more source
Applications of Extended Kummer’s Summation Theorem
MathematicsIn the theory of hypergeometric series and generalized hypergeometric series, classical summation theorems, such as the two of Gauss and those of Kummer and Bailey for the series F12; those of Watson, Dixon, Whipple, and Saalschutz for the series F23 ...
Xiaoxia Wang +3 more
doaj +1 more source
On the interplay between hypergeometric series, Fourier-Legendre expansions and Euler sums
, 2018 In this work we continue the investigation about the interplay between hypergeometric functions and Fourier-Legendre ($\textrm{FL}$) series expansions. In the section "Hypergeometric series related to $\pi,\pi^2$ and the lemniscate constant", through the
Cantarini, Marco, D'Aurizio, Jacopo
core +1 more source