Results 41 to 50 of about 60,471 (199)
Duality relations for hypergeometric series
, 2014 We explicitly give the relations between the hypergeometric solutions of the general hypergeometric equation and their duals, as well as similar relations for q-hypergeometric equations.
Beukers, Frits, Jouhet, Frédéric
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Advanced Science, EarlyView.This study reveals that Urolithin A (UA) counteracts alcohol‐induced cognitive and social dysfunction (AICSD) via a gut microbiome‐dependent mechanism. UA‐enriched Bacteroids sartorii and Parabacteroids distasonis elevate anandamide (AEA), which activates the CB1R‐DRD2‐Rap1 signaling cascade to drive synaptic repair and reduce neuroinflammation ...
Hongbo Zhang +9 more
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Ural Mathematical Journal, 2017 A formula for the non-elementary integral \(\int e^{\lambda x^\alpha} dx\) where \(\alpha\) is real and greater or equal two, is obtained in terms of the confluent hypergeometric function \(_{1}F_1\) by expanding the integrand as a Taylor series.
Victor Nijimbere
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Series of Convergence Rate −1/4 Containing Harmonic Numbers
Axioms, 2023 Two general transformations for hypergeometric series are examined by means of the coefficient extraction method. Several interesting closed formulae are shown for infinite series containing harmonic numbers and binomial/multinomial coefficients.
Chunli Li, Wenchang Chu
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Elementary derivations of identities for bilateral basic hypergeometric series
, 2000 We give elementary derivations of several classical and some new summation and transformation formulae for bilateral basic hypergeometric series. For purpose of motivation, we review our previous simple proof ("A simple proof of Bailey's very-well-poised
Schlosser, M.
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Connexin43 Deficiency Leads to Ventricular Arrhythmias by Reprogramming Proline Metabolism
Advanced Science, EarlyView.The study demonstrated that connexin43 (Cx43) knockout caused arrhythmic phenotype and decreased proline content in vitro and in vivo. Mechanistically, Cx43 interacts with the amino acid transporter SNAT2 (sodium‐dependent neutral amino acid transporter), and its deficiency disrupts proline transport and metabolism.
Hangying Ying +8 more
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A Note on Wright-type Generalized q-hypergeometric Function
Известия Иркутского государственного университета: Серия "Математика"In 2001, Virchenko et al. published a paper on a new generalization of Gauss hypergeometric function, namely Wright-type generalized hypergeometric function. Present work aims to define the q-analogue generalized hypergeometric function, which reduces to
K. K. Chaudhary, S. B. Rao
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Mathematics, 2016 In a series of papers, we discussed the solution of Laplace’s differential equation (DE) by using fractional calculus, operational calculus in the framework of distribution theory, and Laplace transform.
Tohru Morita, Ken-ichi Sato
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Extension of the q-Pfaff-Saalschütz Theorem by Two Integer Parameters
Mathematics, 2022 We investigate a class of terminating 3ϕ2-series that comes from the balanced series perturbed by two extra integer parameters. By making use of the linearization method, a general summation formula is established that extends the well-known q-Pfaff ...
Nadia N. Li, Wenchang Chu
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A note on a hypergeometric transformation formula due to Slater with an application [PDF]
, 2014 In this note we state (with minor corrections) and give an alternative proof of a very general hypergeometric transformation formula due to Slater. As an application, we obtain a new hypergeometric transformation formula for a 5F4(−1) series with one ...
Kim, Y. S., Paris, R. B., Rathie, A. K.
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