Results 81 to 90 of about 5,426,135 (190)
Fractal and FractionalIn 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 +2 more
doaj +1 more source
New properties for the Ramanujan R-function
Open Mathematics, 2022 In the article, we establish some monotonicity and convexity (concavity) properties for certain combinations of polynomials and the Ramanujan R-function by use of the monotone form of L’Hôpital’s rule and present serval new asymptotically sharp bounds ...
Cai Chuan-Yu +3 more
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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 +9 more
wiley +1 more source
Non-null Distribution of The Likelihood Ratio Statistic for Testing Multisample Compound Symmetry
Revista Integración, 2004 The non-null distribution of the modified likelihood ratio test statistic Λ∗ for testing multisample compound symmetry of q multivariate Gaussian models is derived.
María E. Castañeda, Daya K. Nagar
doaj
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
Contractions of 2D 2nd Order Quantum Superintegrable Systems and the Askey Scheme for Hypergeometric Orthogonal Polynomials [PDF]
, 2013 We show explicitly that all 2nd order superintegrable systems in 2 dimensions are limiting cases of a single system: the generic 3-parameter potential on the 2-sphere, S9 in our listing.
Willard Miller Jr. +8 more
core +1 more source
Bounds for novel extended beta and hypergeometric functions and related results
Journal of Inequalities and ApplicationsWe introduce a new unified extension of the integral form of Euler’s beta function with a MacDonald function in the integrand and establish functional upper bounds for it.
Rakesh K. Parmar, Tibor K. Pogány
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A note on inequalities for Gaussian hypergeometric functions
Journal of Mathematical InequalitiesThe 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
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 +6 more
wiley +1 more source
Fortschritte der Physik, Volume 74, Issue 4, April 2026.Abstract String theory has strong implications for cosmology, implying the absence of a cosmological constant, ruling out single‐field slow‐roll inflation, and that black holes decay. The origins of these statements are elucidated within the string‐theoretical swampland programme.
Kay Lehnert
wiley +1 more source