Results 81 to 90 of about 3,001,317 (197)

Gaussian hypergeometric functions and cyclotomic matrices

The Ramanujan Journal
Let $q=p^n$ be an odd prime power and let $\mathbb{F}_q$ be the finite field with $q$ elements. Let $\widehat{\mathbb{F}_q^{\times}}$ be the group of all multiplicative characters of $\mathbb{F}_q$ and let $χ$ be a generator of $\widehat{\mathbb{F}_q^{\times}}$.
Wu, Hai-Liang, Wang, Li-Yuan
openaire   +2 more sources

Gauss quadrature approximations to hypergeometric and confluent hypergeometric functions [PDF]

, 2002
Integral representations of hypergeometric and confluent hypergeometric functions with real parameters and complex arguments are used to approximate these functions by Gaussian quadrature.
Walter Gautschi, Gautschi, Walter
core   +1 more source

Tuberculosis Susceptibility and Inbreeding Depression Hinder Ex Situ Conservation in a Critically Endangered Rainforest Bird

Evolutionary Applications, Volume 19, Issue 6, June 2026.
ABSTRACT Captive breeding can be a key component of species conservation strategies, but also exposes these rare species to novel environments including the pathogen landscape. The critically endangered white‐winged wood duck (WWWD) Asarcornis scutulata has experienced substantial population declines, local extirpations and fragmentation of its former ...
Peri E. Bolton, Dustin J. Foote, Nancy E. Drilling, Susan B. McRae, Michael D. Sorenson, Christopher N. Balakrishnan   +5 more
wiley   +1 more source

New Applications of Differential Subordination Theory Concerning Fractional Integrals of Gaussian Hypergeometric Functions

Fractal and Fractional
In the present research, necessary and sufficient conditions for the univalence of the fractional integral of the Gaussian hypergeometric function are obtained by employing specific approaches from differential subordination theory.
Georgia Irina Oros, Gabriel Cheregi, Gheorghe Oros   +2 more
doaj   +1 more source

Algebraic A-hypergeometric functions [PDF]

, 2010
We formulate and prove a combinatorial criterion to decide if an A-hypergeometric system of differential equations has a full set of algebraic solutions or not.
Beukers, F., Sub Algebra,Geometry&Mathem. Logic begr., Algebra & Geometry and Mathematical Locic, Frits Beukers   +3 more
core   +1 more source

Telomere‐to‐Telomere Genomes Reveal that Multiscale Evolution Shapes the Largest Metabolic Arsenal of Diaporthe Fungi

Advanced Science, Volume 13, Issue 27, 13 May 2026.
This study presents the first telomere‐to‐telomere genomes and population resources for Diaporthe pathogens, uncovering the largest known fungal repertoire of secondary metabolite gene clusters. Structural variations and horizontal gene transfer drive cluster diversification, while specific rapidly evolving clusters control virulence, offering novel ...
Kainan Li, Chen Zhang, Zhichao Zhang, Jiaheng Cheng, Qiuyan Gao, Long Gao, Xiaolin Zhao, Wei Yan, Yuanchao Wang, Wenwu Ye   +9 more
wiley   +1 more source

A note on inequalities for Gaussian hypergeometric functions

Journal of Mathematical Inequalities
The authors establish new Landen-type inequalities for Gaussian hypergeometric functions \(F(a, b ; c ; x)\) that are not zero-balanced, i.e., ( \(c \neq a+b\) ). Building on earlier work of \textit{S. Simić} and \textit{M. Vuorinen} [Abstr. Appl. Anal. 2012, Article ID 932061, 11 p. (2012; Zbl 1241.26021)] and \textit{Á. Baricz} [Proc. Am. Math.
Dai, Dan, Sang, Tony
openaire   +2 more sources

From Power‐Law to Correlation‐Time Distributions: A Unified Framework for the Analysis of Nuclear Magnetic Relaxation Dispersion (NMRD) Profiles of Complex Biological Systems

Magnetic Resonance in Chemistry, Volume 64, Issue 5, Page 494-505, May 2026.
1H NMRD profiles of biological systems often follow a power‐law dependence rather than a Lorentzian dispersion. This behavior can arise from a broad distribution of correlation times, weighted by 1/τ 1−α. Validated across diverse systems such as sedimented proteins and biological tissues, this framework provides a physical interpretation of power‐law ...
Giacomo Parigi, Adam Kubrak
wiley   +1 more source

Arabidopsis acclimation to daily environmental fluctuations converts a defense response regulator into a susceptibility factor toward Sclerotinia

New Phytologist, Volume 250, Issue 4, Page 2516-2534, May 2026.
Summary Acclimation enables plants to adjust to immediate environmental fluctuations and is therefore key to the resilience of plant disease resistance in a time of climate change. Here, we report on the acclimation of Arabidopsis thaliana quantitative immune responses against the fungal pathogen Sclerotinia sclerotiorum to daily environmental ...
Marie Didelon, Justine Sucher, Florent Delplace, Pedro Carvalho‐Silva, Matilda Zaffuto, Adelin Barbacci, Sylvain Raffaele   +6 more
wiley   +1 more source

Elliptic hypergeometric functions associated with root systems

, 2020
We give a survey of elliptic hypergeometric functions associated with root systems, comprised of three main parts. The first two in essence form an annotated table of the main evaluation and transformation formulas for elliptic hypergeometric integrals ...
Warnaar, Ole,, Rosengren, Hjalmar,, Rosengren, Hjalmar, Warnaar, Ole   +3 more
core   +1 more source