Results 61 to 70 of about 94,918 (265)

Hypergeometric Functions for Function Fields

Finite Fields and Their Applications, 1995
Let \(\{a,b,c\}\) be complex constants. Then the famous Gauss hypergeometric equation is given by \[ z(1 - z) {d^2y \over dz^2} + \bigl( c - (a + b + 1) z \bigr) {dy \over dz} - aby = 0. \] One defines the Pochhammer symbol \((a)_n\) by \((a)_0 : = 1\) and for \(n > 1\), \((a)_n : = a(a + 1) (a + 2) (a + 3) \cdots (a + n - 1)\).
openaire   +1 more source

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

A study on unification of generalized hypergeometric function and Mittag-Leffler function with certain integral transforms of generalized basic hypergeometric function

Researches in Mathematics
This research article explores some new properties of generalized hypergeometric function and its q-analogue. The connections between ${}_{2}{{R}_{1}}^{\upsilon }(\mathfrak{z})$, the Wright function, and generalized Mittag-Leffler functions are explored.
K.K. Chaudhary, S.B. Rao
doaj   +1 more source

A study of generalized hypergeometric Matrix functions via two-parameter Mittag–Leffler matrix function

Open Physics, 2022
The main aim of this article is to study a new generalizations of the Gauss hypergeometric matrix and confluent hypergeometric matrix functions by using two-parameter Mittag–Leffler matrix function.
Jain Shilpi, Goyal Rahul, Oros Georgia Irina, Agarwal Praveen, Momani Shaher   +4 more
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GENERALIZATION OF EXTENDED BETA FUNCTION, HYPERGEOMETRIC AND CONFLUENT HYPERGEOMETRIC FUNCTIONS [PDF]

Honam Mathematical Journal, 2011
Summary: The main object of this paper is to present generalization of extended beta function, extended hypergeometric and confluent hypergeometric function introduced by Chaudhry et al. and obtained various integral representations, properties of beta function, Mellin transform, beta distribution, differentiation formulas, transform formulas ...
Lee, Dong Myung, Rathie, Arjun K., Parmar, Rakesh K., Kim, Young Sup   +3 more
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

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

ON CONTIGUITY RELATIONS FOR GENERALIZED HYPERGEOMETRIC FUNCTIONS

Проблемы анализа, 2018
We derive formulas that generalize contiguity relations of Gauss hypergeometric functions to the case of hypergeometric functions satisfying differential equations of arbitrary order and also of solution matrices of their corresponding homogeneous ...
V. A. Gorelov
doaj   +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

Properties and Applications of Extended Hypergeometric Functions

Ingeniería y Ciencia, 2014
In this article, we study several properties of extended Gauss hypergeometric and extended confluent hypergeometric functions. We derive several integrals, inequalities and establish relationship between these and other special functions.
Daya Krishna Nagar, Raúl Alejandro Morán-Vásquez, Arjun K Gupta   +2 more
doaj   +1 more source