Results 71 to 80 of about 2,308 (173)

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

Some Probability Distributions Connected with Generalized Gamma Distribution [PDF]

The Egyptian Statistical Journal, 2002
In this paper we obtain some distributions, which are derivable from a generalized gamma distribution (Agarwal and Kalla (1996)). The probability densities for theses distribution are obtained, and their main statistical properties are worked out. 
G. Ghazal
doaj   +1 more source

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

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

Vector-Valued Polynomials and a Matrix Weight Function with B2-Action. II

Symmetry, Integrability and Geometry: Methods and Applications, 2013
This is a sequel to [SIGMA 9 (2013), 007, 23 pages], in which there is a construction of a 2×2 positive-definite matrix function K(x) on R^2. The entries of K(x) are expressed in terms of hypergeometric functions. This matrix is used in the formula for a
Charles F. Dunkl
doaj   +1 more source

Subclasses of Bi-Univalent Functions of Complex Order Based on Subordination Conditions Involving Wright Hypergeometric Functions

Journal of Mathematical and Fundamental Sciences, 2015
In this paper, we introduce and investigate a new subclass of bi-univalent functions Σ of complex order dened in the open unit disk, which are associated with hypergeometric functions and satisfying subordinate conditions. Furthermore, we nd estimates on
Gangadharan Murugusundaramoorthy
doaj   +1 more source