Results 81 to 90 of about 94,918 (265)
Some Summation Theorems for Generalized Hypergeometric Functions
Axioms, 2018 Essentially, whenever a generalized hypergeometric series can be summed in terms of gamma functions, the result will be important as only a few such summation theorems are available in the literature. In this paper, we apply two identities of generalized
Mohammad Masjed-Jamei, Wolfram Koepf
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Aspects of elliptic hypergeometric functions [PDF]
, 2013 General elliptic hypergeometric functions are defined by elliptic hypergeometric integrals. They comprise the elliptic beta integral, elliptic analogues of the Euler-Gauss hypergeometric function and Selberg integral, as well as elliptic extensions of ...
Spiridonov, V. P.
core
A BioLiving Periosteum Evokes Centripetal Regeneration in Challenging Bone Defects
Advanced Science, EarlyView.Large bone defects often suffer from insufficient central healing. This study engineers a BioLiving periosteum that mimics the native structure. It sequentially delivers remote chemical cues and contact physical cues in a signaling‐relay manner, effectively recruiting and guiding endogenous cells toward the defect center.
Yang Shi +12 more
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Weighted hypergeometric functions and fractional derivative
Advances in Difference Equations, 2017 We introduce some weighted hypergeometric functions and the suitable generalization of the Caputo fractional derivation. For these hypergeometric functions, some linear and bilinear relations are obtained by means of the mentioned derivation operator ...
JE Restrepo +3 more
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Advanced Science, EarlyView.Pharmaceutical diversity acts as an independent driver of antibiotic resistance in soil invertebrates. While bulk soil remains unaffected, the collembolan gut microbiome exhibits significant resistance gene enrichment under complex chemical exposure and diurnal warming.
Yi‐Fei Wang +11 more
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A Generalised Hypergeometric Function [PDF]
Proceedings of the Edinburgh Mathematical Society, 1956 The hypergeometric function1F(a, b; c; z) is analytic in the domain |arg(−z)| < π, and, when |z| < 1, may be represented by the seriesWhen |z| = 1 in the domain |arg(−z)| <π, this series converges2 to F(a; b; c; z) if R(a+b−c) < 0 (integral values of a, b and c are excluded in the present paper).
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Advanced Science, EarlyView.This study constructed the first spatiotemporal multi‐omics map of peach fruit and discovered a key candidate gene that synergistically regulates trichome development and drought tolerance through the jasmonic acid signaling pathway, providing insights into the coupling mechanism between development and stress resistance.
Zhixin Liu +9 more
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Sato-Tate distribution of <i>p</i>-adic hypergeometric functions. [PDF]
Res Number Theory, 2023 Pujahari S, Saikia N.
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Inequalities for hypergeometric functions [PDF]
Mathematics of Computation, 1976 The upper and lower bounds for the determinant of a dominant diagonal matrix have been used recently to obtain bounds on the classical orthogonal polynomials. Similar methods are used here on the hypergeometric functions of Gauss and of Kummer.
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Ammonia Detoxification Inhibits Liver Metastasis by Reshaping Hepatic Microenvironment
Advanced Science, EarlyView.Liver metastasis diverts aspartate into hyperactive pyrimidine synthesis, disrupting urea cycling and causing pathogenic ammonia accumulation. Ammonia dually reprograms the microenvironment by: (1) activating hepatic stellate cells (HSCs) into pro‐fibrotic metastasis‐associated fibroblasts (MAFs), and (2) suppressing anti‐tumor monocytes/macrophages ...
Sumin Sun +5 more
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