Results 81 to 90 of about 4,681 (200)
AxiomsWe systematically exploit a new generalized hypergeometric identity to obtain new hypergeometric summation formulas. As a consistency test, alternative proofs for some special cases are also provided.
Juan Luis González-Santander
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Integral representations of generalized Lauricella hypergeometric functions
International Journal of Mathematics and Mathematical Sciences, 1992 The generalized hypergeometric function was introduced by Srivastava and Daoust. In the present paper a new integral representation is derived. Similarly new integral representations of Lauricella and Appell function are obtained.
Vu Kim Tuan, R. G. Buschman
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Epilepsia Open, Volume 11, Issue 3, Page 983-1002, June 2026.Abstract Objective The pathogenesis of epilepsy is closely associated with neuronal synaptic plasticity. MicroRNAs (miRNAs) can regulate various biological processes by binding to specific sequences on target genes. This study employs bioinformatics, molecular dynamics, and experimental approaches to investigate the mechanism by which MiR‐30a‐5p treats
Zhenlin Yang +4 more
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Evaluation of Certain Definite Integrals Involving Generalized Hypergeometric Functions
AxiomsIn 2012, Chu investigated the generalization of classical Watson–Whipple–Dixon summation theorems in the form of analytical formulas. By employing four generalized Watson summation formulas, the objective of this paper is to evaluate a new class of ...
Prathima Jayarama +3 more
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General Psychiatry, Volume 39, Issue 3, June 2026.ABSTRACT Background Current research suggests that genetic risk for psychiatric disorders is largely due to distinct combinations of many common variants shared by different disorders. This points to the existence of latent components affecting different dimensions of psychopathology.
Fernando Facal +2 more
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Integral Transforms for the New Generalized Beta Function
Journal of New Theory, 2019 In this paper, some representation formulas for the generalized Gamma and Beta functions are obtained. Also, certain integral transforms for the generalized Beta function associated with the Wright hypergeometric function are derived.
Ahmed Ali Al-gonah +1 more
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Health Science Reports, Volume 9, Issue 6, June 2026.ABSTRACT Background and Aim Intestinal flora composition in polycystic ovary syndrome (PCOS) varies, and the relationship between intestinal flora, fecal metabolites, clinical characteristics, and PCOS pathogenesis remains unclear. This study aimed to elucidate the gut microbiota characteristics of patients with PCOS, focusing on changes in normal ...
Yu‐Mei Li +4 more
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ON CONTIGUITY RELATIONS FOR GENERALIZED HYPERGEOMETRIC FUNCTIONS
Issues of Analysis, 2018 Summary: 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 differential equations.
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Value of Generalized Hypergeometric Function at Unity [PDF]
, 1997 Value of generalized hypergeometric function at a special point is calculated. More precisely, value of certain multiple integral over vanishing cycle (all arguments collapse to unity) is calculated. The answer is expressed in terms of $Γ$-functions.
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Diabetes, Obesity and Metabolism, Volume 28, Issue 6, Page 5029-5042, June 2026.ABSTRACT Aims The burden of chronic liver disease (CLD) is increasing. This study aims to identify protein markers for CLD and its progression, and develop a protein‐based risk prediction model. Materials and Methods We used proteome‐wide Mendelian randomization (MR), Bayesian colocalization and summary‐data‐based MR with proteomic data from deCODE ...
Xinxuan Li +9 more
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