Results 51 to 60 of about 17,253 (231)

Tables of the Lauricella Hypergeometric Functions F^(3)_A

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki
The generalized hypergeometric function q​Fp​ is a power series in which the ratio of successive terms is a rational function of the summation index. The Gaussian hypergeometric functions 2F1​ and 3F3​ are most common special cases of the generalized ...
Abbasova, M.O., Ergashev, T.G.
doaj   +1 more source

Solution of Differential Equations with Polynomial Coefficients with the Aid of an Analytic Continuation of Laplace Transform

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
doaj   +1 more source

Hypergeometric series

Japanese journal of mathematics. New series, 1993
This paper explains how to get integral representations for general hypergeometric series in one or several variables. The way is first to construct the so-called ``exponential modules'' lengthily studied in the \textit{B. Dwork's} book [Generalized hypergeometric functions (Oxford Press 1990; Zbl 0747.33001)] then to use a formal Laplace transform ...
DWORK, B., LOESER, F.
openaire   +3 more sources

Expanded Hepatic Progenitor Cells Featured with Aggregation of α‐Synuclein Contribute to Pathologic Bile Duct Regeneration in Biliary Atresia

Advanced Science, EarlyView.
Expanded NCAM1+EpCAM+ hepatic progenitor cells in biliary atresia are characterized by aggregation of α‐synuclein. This pathological protein potentiates cellular susceptibility to GSH‐dependent redox dyshomeostasis, induces unstable biliary cell fate specification, and subsequently drives aberrant biliary regeneration.
Hua Xie, Mengyan Zhu, Zhongxian Zhu, Jiaqi Tang, Ruyi Zhang, Zequan Ding, Junzhi Li, Zhongluan Wu, Paul Kwong Hang Tam, Qianghu Wang, Vincent Chi Hang Lui, Yankai Xia, Weibing Tang   +12 more
wiley   +1 more source

Symmetry Groups of An Hypergeometric Series [PDF]

, 2014
Structures of symmetries of transformations for Holman–Biedenharn–Louck An hypergeometric series: An terminating balanced 4F3 series and An elliptic 10E9 series are discussed.
Yasushi Kajihara, Kajihara, Y.
core   +2 more sources

EVALUATION OF THE NON-ELEMENTARY INTEGRAL \(\int e^{\lambda x^\alpha}dx\), \(\alpha\ge 2\), AND OTHER RELATED INTEGRALS

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
doaj   +1 more source

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
doaj   +1 more source

HLA‐DR+ Schwann Cells Generate the Protumor Cancer‐Neuron‐Immune Niche in Head and Neck Squamous Cell Carcinoma

Advanced Science, EarlyView.
Hijacked and educated by HNSCC cells, HLA‐DR+ Schwann cells lost their normal neural‐related functions but acquired immunoregulatory phenotypes to promote CD4+ T cells transform into Tregs. HLA‐DR+ Schwann cells induced a macrophage subpopulation, Il1β.
Xiaoyan Meng, Zhonglong Liu, Shijian Zhang, Luoman Gan, Liren Cao, Jingjing Sun, Lingfang Zhang, Yue He   +7 more
wiley   +1 more source

Congruences concerning truncated hypergeometric series [PDF]

, 2017
We employ some formulae on hypergeometric series and p-adic Gamma function to establish several congruences.
Bing He
core   +1 more source

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
doaj   +1 more source