Results 71 to 80 of about 2,865 (170)

On the adelic Gaussian hypergeometric function

We define the adelic hypergeometric function of special Gaussian type by means of a tower of hypergeometric curves. This function takes values in an adelic completed group ring and interpolates all the hypergeometric functions of the same type over all finite fields. It specializes at the unit argument to the adelic beta function of Ihara and Anderson.
Asakura, Masanori, Otsubo, Noriyuki
openaire   +2 more sources

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

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  

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

Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the String‐Theoretical Swampland Programme

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

Bounds for novel extended beta and hypergeometric functions and related results

Journal of Inequalities and Applications
We 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
doaj   +1 more source

Tessellation Groups, Harmonic Analysis on Non‐Compact Symmetric Spaces and the Heat Kernel in View of Cartan Convolutional Neural networks

Fortschritte der Physik, Volume 74, Issue 4, April 2026.
ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré, Federico Milanesio, Marcelo Oyarzo, Matteo Santoro, Mario Trigiante   +4 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

Cellular microenvironment of erythropoietin‐producing cells in hypoxic and injured mouse kidneys

Experimental Physiology, Volume 111, Issue 4, Page 2236-2267, 1 April 2026.
Abstract The main sources of circulating erythropoietin (Epo) in the adult are kidney Norn cells, a recently identified interstitial cell type capable of becoming renal Epo‐producing (REP) cells following a local decrease in tissue oxygenation. REP cells are restricted to small clusters in the corticomedullary border region, suggesting that their ...
Olga M. Lempke, Thomas Knöpfel, Stellor Nlandu Khodo, Roland H. Wenger   +3 more
wiley   +1 more source

HiST: Histological Images Reconstruct Tumor Spatial Transcriptomics via MultiScale Fusion Deep Learning

Advanced Science, Volume 13, Issue 13, 3 March 2026.
HiST, a multiscale deep learning framework, reconstructs spatially resolved gene expression profiles directly from histological images. It accurately identifies tumor regions, captures intratumoral heterogeneity, and predicts patient prognosis and immunotherapy response.
Wei Li, Dong Zhang, Eryu Peng, Shijun Shen, Hamid Alinejad‐Rokny, Yao Liu, Junke Zheng, Cizhong Jiang, Youqiong Ye   +8 more
wiley   +1 more source