Results 61 to 70 of about 34,448 (260)

ON CONTIGUITY RELATIONS FOR GENERALIZED HYPERGEOMETRIC FUNCTIONS

Проблемы анализа, 2018
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 ...
V. A. Gorelov
doaj   +1 more source

A Non‐Canonical Core Transcriptional Regulatory Circuit Orchestrates Chromatin Reprogramming to Drive Osimertinib Resistance in Non‐Small Cell Lung Cancer

Advanced Science, EarlyView.
A non‐canonical core transcriptional regulatory circuit, composed of ID3, SMAD3, and NR2F2, drives Osimertinib resistance in non‐small cell lung cancer through super‐enhancer‐mediated activation of EPAS1, which couples neuroendocrine differentiation with ferroptosis evasion.
Aochu Liu, Zhenguo Liu, Lizhen Jiang, Andong Huang, Xinqing Lin, Xinyue Li, Bingyuan Liu, Shiwen Hu, Qiang Pan, Junjun Huang, Liyuan Yin, Liling Jiang, Wei Yi, Wenjun Mao, Yueyuan Zheng, Xianping Shi   +15 more
wiley   +1 more source

New Zero-Free Regions for Hypergeometric Zeta and Fractional Hypergeometric Zeta Functions

Journal of Mathematics, 2022
We describe and demonstrate zero-free regions for the families called “hypergeometric zeta functions” and “fractional hypergeometric zeta functions”. These zero-free regions are vertical strips in the right half of the complex plane.
Demessie Ergabus Birmechu, Hunduma Legesse Geleta   +1 more
doaj   +1 more source

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

Properties and Applications of Extended Hypergeometric Functions

Ingeniería y Ciencia, 2014
In this article, we study several properties of extended Gauss hypergeometric and extended confluent hypergeometric functions. We derive several integrals, inequalities and establish relationship between these and other special functions.
Daya Krishna Nagar, Raúl Alejandro Morán-Vásquez, Arjun K Gupta   +2 more
doaj   +1 more source

On Some Formulas for the k-Analogue of Appell Functions and Generating Relations via k-Fractional Derivative

Fractal and Fractional, 2020
Our present investigation is mainly based on the k-hypergeometric functions which are constructed by making use of the Pochhammer k-symbol in Diaz et al. 2007, which are one of the vital generalizations of hypergeometric functions.
Övgü Gürel Yılmaz, Rabia Aktaş, Fatma Taşdelen   +2 more
doaj   +1 more source

Recursion formulas for certain quadruple hypergeometric functions

Advances in Difference Equations, 2021
A remarkably large number of hypergeometric (and generalized) functions and a variety of their extensions have been presented and investigated in the literature by many authors.
Jihad Younis, Ashish Verma, Hassen Aydi, Kottakkaran Sooppy Nisar, Habes Alsamir   +4 more
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

A study on unification of generalized hypergeometric function and Mittag-Leffler function with certain integral transforms of generalized basic hypergeometric function

Researches in Mathematics
This research article explores some new properties of generalized hypergeometric function and its q-analogue. The connections between ${}_{2}{{R}_{1}}^{\upsilon }(\mathfrak{z})$, the Wright function, and generalized Mittag-Leffler functions are explored.
K.K. Chaudhary, S.B. Rao
doaj   +1 more source

A Connection Formula for the q-Confluent Hypergeometric Function

Symmetry, Integrability and Geometry: Methods and Applications, 2013
We show a connection formula for the $q$-confluent hypergeometric functions ${}_2varphi_1(a,b;0;q,x)$. Combining our connection formula with Zhang's connection formula for ${}_2varphi_0(a,b;-;q,x)$, we obtain the connection formula for the $q$-confluent ...
Takeshi Morita
doaj   +1 more source