Results 51 to 60 of about 41,081 (281)

On Analytical Continuation of the Horn’s Hypergeometric Functions H₃ and Their Ratios

Axioms
This paper considers the Horn’s hypergeometric function H3, which is closely related to other hypergeometric functions and has various mathematical or physical applications.
Roman Dmytryshyn, Tamara Antonova, Sofiia Hladun   +2 more
doaj   +1 more source

Saigo fractional q-integral involving the generalized q-hypergeometric series and a general class of q-polynomials

Arab Journal of Basic and Applied Sciences, 2023
The fractional q-calculus has attracted the interest of a large number of academics over the last four decades or so, due mainly to a wide range of applications that cover natural sciences to social sciences.
Biniyam Shimelis, D. L. Suthar
doaj   +1 more source

On hypergeometric series reductions from integral representations, the Kampe de Feriet function, and elsewhere

, 2006
Single variable hypergeometric functions pFq arise in connection with the power series solution of the Schrodinger equation or in the summation of perturbation expansions in quantum mechanics.
Abramowitz M., Appell P., Gradshteyn I. S., Luke Y. L., MARK W. COFFEY, Niukkanen A. W., Slater L. J.   +6 more
core   +1 more source

IL1R2 Marks and Sorts a Spermatogonial Stem Cell Population Critical for Restoring Spermatogenesis Upon Interruption in Mammals

Advanced Science, EarlyView.
Spermatogonial stem cells (SSCs) provide critical support to spermatogenesis. Here, the author established Il1r2 as a sorting marker for SSCs, with which further insights into the SSC heterogeneity and dynamic features can be obtained. They also confirmed findings in both mouse and human, thus validating IL1R2 as the surface marker for isolating and ...
Pengyu Li, Zexuan Zhang, Zihan Xie, Cheng Jin, Zhipeng Wang, Changwei Yuan, Jun Zhu, Jielin Tang, Mengzhen Li, Dingfeng Zou, Xinyu Mang, Jun Liu, Dingyao Chen, Qi Geng, Yan Lu, Ning Zhang, Shiying Miao, Jing Peng, Kai Li, Wei Song   +19 more
wiley   +1 more source

Some new generalized integral transformations and their application in differential equations theory

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2011
We present new integral transforms, generalized the classical Laplace, Stieltjes and Widder integral transforms in the potential theory. The (τ,β)-generalized confluent hypergeometric functions are the kernels of these integral transforms.
S. M. Zaikina, O. A. Repin
doaj   +3 more sources

A Study of Cho-Kwon-Srivastava Operator with Applications to Generalized Hypergeometric Functions

International Journal of Mathematics and Mathematical Sciences, 2014
We introduce a new class of meromorphically analytic functions, which is defined by means of a Hadamard product (or convolution) involving some suitably normalized meromorphically functions related to Cho-Kwon-Srivastava operator.
F. Ghanim, M. Darus
doaj   +1 more source

Modifying Glucose Metabolism Reverses Memory Defects of Alzheimer's Disease Model at Late Stages

Advanced Science, EarlyView.
Using spatial transcriptomics, we show that ferul enanthate (SL‐ZF‐01) reverses episodic‐like memory deficits in aged, but not young, Alzheimer’s disease (AD) mice. SL restores glucose metabolism and Glucose Transporter 1/3 expression via an ‘Aging‐AD‐Rescue’ pattern, rescuing deficits seen in aged AD mice.
Fang Liu, Yiyu‐Li Tang, Zong‐Bo Zhang, Ya‐Hong Tan, Si‐Hui Lin, Ni‐Ya Wang, Jin‐Nan Li, Zhi‐Jie Pan, Jian‐Feng Li, Jing‐Fei Huang, Yu‐Qiang Ding, Chun‐Ming Guo, Lin Xu, Cheng Peng, Qi‐Xin Zhou   +14 more
wiley   +1 more source

Extended Conformable K-Hypergeometric Function and Its Application

Advances in Mathematical Physics
The extended conformable k-hypergeometric function finds various applications in physics due to its ability to describe complex mathematical relationships arising in different physical scenarios. Here are a few instances of its uses in physics, including
Maham Abdul Qayyum, Aya Mohammed Dhiaa, Abid Mahboob, Muhammad Waheed Rasheed, Abdu Alameri   +4 more
doaj   +1 more source

Certain Results on Extended Beta and Related Functions Using Matrix Arguments

Journal of New Theory
In this study, we present and explore extended beta matrix functions (EBMFs) and their key properties. By utilizing the beta matrix function (BMF), we introduce novel extensions of the Gauss hypergeometric matrix function (GHMF) and Kummer hypergeometric
Saddam Husain, Rakibul Sk, Nabiullah Khan   +2 more
doaj   +1 more source

Structural and recurrence relations for hypergeometric-type functions by Nikiforov-Uvarov method [PDF]

, 2009
The functions of hypergeometric-type are the solutions y = yν(z) of the differential equation σ(z)y ′′ + τ(z)y ′ + λy = 0, where σ and τ are polynomials of degrees not higher than 2 and 1, respectively, and λ is a constant.
Fernandes, Cibele M., Santos Cardoso, José Luis dos, Álvarez Nodarse, Renato   +2 more
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