Results 101 to 110 of about 6,151,667 (279)

Product and Quotient of Independent Gauss Hypergeometric Variables

Ingeniería y Ciencia, 2011
In this article, we have derived the probability density functions of the productand the quotient of two independent random variables having Gauss hypergeometricdistribution.
Daya Krishna Nagar, Danilo Bedoya Valencia   +1 more
doaj  

Turán type inequalities for Tricomi confluent hypergeometric functions [PDF]

Constructive Approximation 37(2) (2013) 195-221, 2011
Some sharp two-sided Tur\'an type inequalities for parabolic cylinder functions and Tricomi confluent hypergeometric functions are deduced. The proofs are based on integral representations for quotients of parabolic cylinder functions and Tricomi confluent hypergeometric functions, which arise in the study of the infinite divisibility of the Fisher ...
arxiv  

Effects of SADS‐CoV accessory proteins NS3a, NS7a, and NS7b on viral pathogenicity: A multi‐omics investigation

iMetaOmics, EarlyView.
This study has elucidated the role of three swine acute diarrhea syndrome coronavirus (SADS‐CoV) accessory proteins in influencing viral pathogenicity and preliminarily explored the host molecular targets and pathways affected by the NS3a, NS7a, and NS7b proteins of SADS‐CoV.
Xiaoling Yan, Xiaoli Zhang, Ling Zhou, Xiaoya Zhao, Qianniu Li, Tian Lan, Jun Fu, Jingyun Ma   +7 more
wiley   +1 more source

Certain Results on Extended Beta and Related Functions Using Matrix Arguments

Journal of New Theory
In this study, we present and explore extended beta matrix functions (EBMFs) and their key properties. By utilizing the beta matrix function (BMF), we introduce novel extensions of the Gauss hypergeometric matrix function (GHMF) and Kummer hypergeometric
Saddam Husain, Rakibul Sk, Nabiullah Khan   +2 more
doaj   +1 more source

On the birthday problem: some generalizations and applications

International Journal of Mathematics and Mathematical Sciences, 2003
We study the birthday problem and some possible extensions. We discuss the unimodality of the corresponding exact probability distribution and express the moments and generating functions by means of confluent hypergeometric functions U(−;−;−) which are ...
P. N. Rathie, P. Zörnig
doaj   +1 more source

Dynamic Keynesian Model of Economic Growth with Memory and Lag

Mathematics, 2019
A mathematical model of economic growth with fading memory and continuous distribution of delay time is suggested. This model can be considered as a generalization of the standard Keynesian macroeconomic model.
Vasily E. Tarasov, Valentina V. Tarasova   +1 more
doaj   +1 more source

Distributional solutions of the hypergeometric differential equation

Journal of Mathematical Analysis and Applications, 1987
AbstractWe present the distributional solutions to the hypergeometric differential equation. These solutions are obtained in the form of infinite series of the Dirac Delta functions and its derivatives. We employ these solutions to observe their interesting features.
Ram P. Kanwal, Lance L. Littlejohn
openaire   +2 more sources

Single‐cell spatial transcriptomic sequencing and machine learning models uncover molecular mechanisms and diagnostic biomarkers of Peyronie's disease formation in rats

VIEW, EarlyView.
Peyronie's disease (PD) is a common male reproductive system disorder. The exact etiology of PD remains unclear. This study aimed to investigate molecular and cellular changes in PD using single‐cell spatial transcriptomics. Abstract Peyronie's disease (PD), commonly known as penile induration, is a prevalent male reproductive system disorder with ...
Keyuan Lou, Qiancheng Mao, Junpeng Chi, Jiankun Zhang, Hao Guo, Jitao Wu, Yuanshan Cui   +6 more
wiley   +1 more source

Rapid and chemically diverse C transfer from trees to mycorrhizal fruit bodies in the forest

Functional Ecology, Volume 39, Issue 6, Page 1343-1357, June 2025.
Read the free Plain Language Summary for this article on the Journal blog. Abstract Ectomycorrhizal fungi (EMF) are common belowground tree symbionts, supplying trees with water and nutrients. In return, large amounts of C assimilated by trees can be allocated into EMF. However, the chemical forms in which the C is transferred from trees to fungi under
Alon Rapaport, Stav Livne‐Luzon, Hagar Fox, Yaara Oppenheimer‐Shaanan, Tamir Klein   +4 more
wiley   +1 more source

Beta-hypergeometric probability distribution on symmetric matrices [PDF]

arXiv, 2013
Some remarkable properties of the beta distribution are based on relations involving independence between beta random variables such that a parameter of one among them is the sum of the parameters of an other (see (1.1) et (1.2) below). Asci, Letac and Piccioni \cite{6} have used the real beta-hypergeometric distribution on $ \reel$ to give a general ...
arxiv