Results 101 to 110 of about 9,521 (292)

Elliptic Combinatorics and Markov Processes [PDF]

, 2012
We present combinatorial and probabilistic interpretations of recent results in the theory of elliptic special functions (due to, among many others, Frenkel, Turaev, Spiridonov, and Zhedanov in the case of univariate functions, and Rains in the ...
Betea, Dan Dumitru
core   +1 more source

Four Families of Summation Formulas for ₄F₃(1) with Application

Axioms
A collection of functions organized according to their indexing based on non-negative integers is grouped by the common factor of fixed integer N. This grouping results in a summation of N series, each consisting of functions partitioned according to ...
Belakavadi Radhakrishna Srivatsa Kumar, Arjun K. Rathie, Junesang Choi   +2 more
doaj   +1 more source

Recent Developments of Hilbert-Type Discrete and Integral Inequalities with Applications

International Journal of Mathematics and Mathematical Sciences, 2012
This paper deals with recent developments of Hilbert-type discrete and integral inequalities by introducing kernels, weight functions, and multiparameters.
Lokenath Debnath, Bicheng Yang
doaj   +1 more source

STAID: A Self‐Refining Deep Learning Framework for Spatial Cell‐Type Deconvolution with Biologically Informed Modeling

Advanced Science, EarlyView.
STAID is a unified deep learning framework that couples iterative pseudo‐spot refinement with neural network training through a feedback loop and exploits gene co‐expression information to model higher‐order interactions, achieving accurate and robust cell‐type deconvolution in spatial transcriptomics.
Jixin Liu, Shuli Sun, Zhengliang Lv, Xinyu Liu, Yihua Wang, Bingqiang Liu   +5 more
wiley   +1 more source

Fractional Hypergeometric Functions

, 2022
The fractional calculus of special functions has significant importance and applications in various fields of science and engineering. Here, we aim to find the fractional integral and differential formulas of the extended hypergeometric-type functions by
Praveen Agarwal, Shilpi Jain, Carlo Cattani   +2 more
core   +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

Classical Elliptic Hypergeometric Functions And Their Applications

, 2008
General theory of elliptic hypergeometric series and integrals is outlined. Main attention is paid to the examples obeying properties of "classical" special functions. In particular, an elliptic analogue of the Gauss hypergeometric function and
V. P. Spiridonov
core  

Hadamard k-fractional inequalities of Fejér type for GA-s-convex mappings and applications

Journal of Inequalities and Applications, 2019
The main aim of this paper is to establish some Fejér-type inequalities involving hypergeometric functions in terms of GA-s-convexity. For this purpose, we construct a Hadamard k-fractional identity related to geometrically symmetric mappings.
Hui Lei, Gou Hu, Zhi-Jie Cao, Ting-Song Du   +3 more
doaj   +1 more source

A simplification of Laplace’s method: Applications to the Gamma function and Gauss hypergeometric function

Journal of Approximation Theory, 2009
If a function \(f\) has a minimum at \(t_0\in(a, b)\), we have the classical asymptotic expansion \[ F(x):= \int^b_a g(t)\exp(-xf(t))\,dt\sim \exp(- xf(t_0)) \sum^\infty_{n=0} c_{2n}{\Gamma(n+{1\over 2})\over x^{n-{1\over 2}}},\quad x\to+\infty, \] but the coefficients, arising from a change of variable, are in general hard to find.
José L. López 0001, Pedro J. Pagola, Ester Pérez Sinusía   +2 more
openaire   +2 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