Results 71 to 80 of about 41,148 (275)

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

Remarks on Slater's asymptotic expansions of Kummer functions for large values of the $a-$parameter [PDF]

, 2013
In Slater's 1960 standard work on confluent hypergeometric functions, also called Kummer functions, a number of asymptotic expansions of these functions can be found. We summarize expansions derived from a differential equation for large values of the $a-
Temme, Nico M
core   +2 more sources

Paternal Circadian Disruption Impairs Offspring Cognition via Sperm microRNAs

Advanced Science, EarlyView.
Paternal circadian disruption remodels the sperm small RNA payload, elevating miR‐92a‐3p/miR‐25‐3p levels and perturbing early embryonic gene regulatory programs. Microinjection experiments and single‐embryo transcriptomics reveal sex‐specific developmental vulnerabilities, ultimately impairing offspring hippocampal synaptic plasticity and cognition ...
Kexin Zou, Sisi Luo, Binliang Tang, Zhiqiang Liu, Yuchuan Zhou, Yicong Meng, Zhengmu Wu, Zheng Sun, Weihui Shi, Jianzhong Sheng, Chuanjin Yu, Zhenhua Li, Siyi Wei, Mo Zhang, Yujie Luo, Jing Yan, Xueyun Qin, Jiahang Mo, Chengliang Zhou, Jinsong Li, Hefeng Huang, Yifu Ding, Guolian Ding   +22 more
wiley   +1 more source

The Bailey chain and mock theta functions

, 2012
Standard applications of the Bailey chain preserve mixed mock modularity but not mock modularity. After illustrating this with some examples, we show how to use a change of base in Bailey pairs due to Bressoud, Ismail and Stanton to explicitly construct ...
Alfes, Andrews, Andrews, Andrews, Andrews, Andrews, Berkovich, Berndt, Bressoud, Bringmann, Bringmann, Bringmann, Bringmann, Bringmann, Choi, Choi, Choi, Choi, Choi, Fulman, Garvan, Gordon, Gordon, Jeremy Lovejoy, Kang, McIntosh, Mellit, Mortenson, Ono, Robert Osburn, Slater, Slater, Stanton, Watson, Zagier   +34 more
core   +4 more sources

Landen inequalities for a class of hypergeometric functions with applications [PDF]

Mathematical Inequalities & Applications, 2018
Summary: In this paper, we study a class of Gaussian hypergeometric function \(_2F_1(a,b;(a+b+1)/2;x)(a,b > 0)\), and find the maximal regions of \(ab\) plane in the first quadrant where the wellknown Landen identities for the complete elliptic integrals of the first kind turn on respective inequalities valid for each \(x \in (0,1)\).
Wang, Miao-Kun, Chu, Yu-Ming
openaire   +2 more sources

Gut Mycobiota‐Associated Tryptophan Catabolites Protect Against Metabolic Dysfunction‐Associated Steatotic Liver Disease

Advanced Science, EarlyView.
ABSTRACT Accumulating evidence suggests that the intestinal microbiota participates in the progression of metabolic dysfunction‐associated steatotic liver disease (MASLD) through microbiota‐host interaction. However, the beneficial role of commensal mycobiota in MASLD progression remains poorly understood.
Shuping Qiao, Shuangya Fan, Juan Xu, Zhen Xu, Chen Peng, Junxing Qu, Ziqian Bing, Shizhen Zhou, Sunan Shen, Guifang Xu, Yue Zhao, Tingting Wang   +11 more
wiley   +1 more source

Structural and recurrence relations for hypergeometric-type functions by Nikiforov-Uvarov method [PDF]

, 2009
The functions of hypergeometric-type are the solutions y = yν(z) of the differential equation σ(z)y ′′ + τ(z)y ′ + λy = 0, where σ and τ are polynomials of degrees not higher than 2 and 1, respectively, and λ is a constant.
Fernandes, Cibele M., Santos Cardoso, José Luis dos, Álvarez Nodarse, Renato   +2 more
core  

Neuid: A Novel Neuron‐Enriched LncRNA that Connects Epigenetic Gene Silencing to Alzheimer's Disease

Advanced Science, EarlyView.
ABSTRACT The increasing evidence that non‐coding RNAs can become deregulated during pathogenesis is dramatically expanding the space for drug discovery beyond the protein‐coding genome. Long noncoding RNAs (lncRNAs) are emerging as key regulators of cellular function, yet most remain uncharacterized.
Ranjit Pradhan, Zorica Petrovic, M. Sadman Sakib, Sophie Schröder, Dennis Manfred Krüger, Tonatiuh Pena, Eren Diniz, Susanne Burkhardt, Anna‐Lena Schütz, Verena Gisa, Iga Grzadzielewska, Karl Toischer, Thor D. Stein, Jan Krzysztof Blusztajn, Ivana Delalle, Jelena Radulovic, Farahnaz Sananbenesi, Andre Fischer   +17 more
wiley   +1 more source

A Testis‐Specific Aralkylamine N‐Acetyltransferase Regulates Dimorphic Sperm Function and Male Fertility in Moths

Advanced Science, EarlyView.
We identify a Lepidoptera‐conserved testis‐specific arylalkylamine N‐acetyltransferase (LTNAT) that governs male moth fertility via a novel mechanism. LTNAT loss disrupts eupyrene sperm mitochondrial derivatives and impairs apyrene sperm motility, offering a safe molecular target for innovative pesticides and genetic pest control.
Hao Sun, Peng‐Yi Huang, Zhi‐Ruo Zhang, Cong‐Fen Gao, Subba Reddy Palli, Shun‐Fan Wu   +5 more
wiley   +1 more source

Some inequalities involving generalized hypergeometric functions via discrete Jensen’s type inequalities

Miskolc Mathematical Notes
Recently, an enormous amount of effort has been devoted to extending the gamma and beta functions because of their nice properties and interesting applications. The contribution of this paper falls within this framework.
Mustapha Raïssouli, Mohamed Chergui
doaj   +1 more source