Results 41 to 50 of about 1,384 (130)

Abstracts

, 2022
Cancer Science, Volume 113, Issue S1, Page 1-1874, February 2022.
wiley   +1 more source

Asymptotic formulae of two divergent bilateral basic hypergeometric series

, 2016
We provide new formulae for the degenerations of the bilateral basic hypergeometric function ${}_1 _1 ( a; b; q, z )$ with using the $q$-Borel-Laplace transformation. These are thought of as the first step to construct connection formulae of $q$-difference equation for ${}_1 _1 ( a; b; q, z )$.
Mori, Hironori, Morita, Takeshi
openaire   +2 more sources

Integrating Transcriptomic and Proteomic Data: IL‐27B as a Key Protein in the Development of Septic Cardiomyopathy—A Retrospective Study

Immunity, Inflammation and Disease, Volume 13, Issue 5, May 2025.
ABSTRACT Background Septic cardiomyopathy (SCM) is a potentially fatal complication of sepsis. In this study, transcriptomic and proteomic analyzes of serum samples from sepsis patients were conducted to uncover the underlying pathological mechanisms and identify potential therapeutic targets for SCM.
Yifeng Mao, Qingqing Chen, Yongpo Jiang, Xijiang Zhang, Qin Si, Panpan Xu, Zhongheng Zhang, Cheng Zheng, Ronghai Lin   +8 more
wiley   +1 more source

CERTAIN NEW IDENTITIES OF BASIC BILATERAL HYPERGEOMETRIC SERIES

South East Asian J. of Mathematics and Mathematical Sciences
In the present work, we have applied Cauchy’s method to establish some basic bilateral hypergeometric series identities, using the known identities of terminating unilateral series. We also have discussed some important special cases of our results.
Saloni Kushvaha, S. Ahmad Ali
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Single‐Cell Insights Into Cellular Response in Abdominal Aortic Occlusion‐Induced Hippocampal Injury

CNS Neuroscience &Therapeutics, Volume 31, Issue 1, January 2025.
In this study, single‐cell RNA sequencing (scRNA‐seq) was used to analyze the cellular response in the hippocampus of a mouse model with abdominal aortic occlusion (AAO) injury. We identified changes in cell proportion, including astrocytes and oligodendrocyte precursor cells (OPCs), and observed gene expression changes associated with neurogenesis and
Changhong Ren, Ling Kui, Jun Xu, Fang Tong, Xiaojie Wang, Jianping Ma, Xiaomei Tian, Guoyun Wang, Feng‐Yong Liu, Sijie Li, Xunming Ji   +10 more
wiley   +1 more source

Mgp High‐Expressing MSCs Orchestrate the Osteoimmune Microenvironment of Collagen/Nanohydroxyapatite‐Mediated Bone Regeneration

Advanced Science, Volume 11, Issue 23, June 19, 2024.
This study reveals how collagen/nanohydroxyapatite‐based bone repair materials regulate the osteoimmune microenvironment via combining single‐cell RNA sequencing and spatial transcriptomics analyses. The Mgp high‐expressing MSCs with efficient osteogenic differentiation potential are found to be aggregated around implanted materials at the early stage ...
Zhuqing Wan, Xiaoqiang Bai, Xin Wang, Xiaodong Guo, Xu Wang, Mo Zhai, Yang Fu, Yunsong Liu, Ping Zhang, Xiao Zhang, Ruili Yang, Yan Liu, Longwei Lv, Yongsheng Zhou   +13 more
wiley   +1 more source

Generalizations of Ramanujan's reciprocity formula and the Askey-Wilson integral [PDF]

, 2013
By using two known transformation formulas for basic hypergeometric series, we establish a direct extension of Bailey's $_6\psi_6$-series identity. Subsequently, it and Milne's identity are employed to drive multi-variable generalizations of Ramanujan's ...
Wang, Xiaoxia, Wei, Chuanan, Yan, Qinglun   +2 more
core  

Transformations and summations for bilateral basic hypergeometric series

We derive transformation and summation formulas for bilateral basic hypergeometric series. As a starting point, we use two transformations of bilateral basic very-well-poised ${}_8Ψ_8$. The first transformation is given as a sum of two nonterminating ${}_8W_7$'s and the second is given in terms of a sum of a ${}_4ψ_4$ and two balanced ${}_4ϕ_3$'s. From
Cohl, Howard S., Schlosser, Michael J.
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Resonance of Continued Fractions Related to₂ψ₂Basic Bilateral Hypergeometric Series [PDF]

Kyungpook mathematical journal, 2011
Summary: In this paper, making use of transformation due to \textit{S. N. Singh} [Proc. Natl. Acad. Sci. India, Sect. A 65, No.3, 319--329 (1995; Zbl 0992.33501)], an attempt has been made to establish certain results involving basic bilateral hypergeometric series and continued fractions.
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Mock Theta Function Identities Deriving from Bilateral Basic Hypergeometric Series [PDF]

, 2017
The bilateral series corresponding to many of the third-, fifth-, sixth- and eighth order mock theta functions may be derived as special cases of $_2 _2$ series \[ \sum_{n=-\infty}^{\infty}\frac{(a,c;q)_n}{(b,d;q)_n}z^n. \] Three transformation formulae for this series due to Bailey are used to derive various transformation and summation formulae for ...
openaire   +2 more sources