Results 81 to 90 of about 103,034 (331)

A class of hypergeometric functions

Indagationes Mathematicae (Proceedings), 1976
AbstractThe hypergeometric functions here considered depend upon N variables, N numerator parameters (each associated with two variables), and one denominator parameter; for N = 3, Srivastava's HC is obtained. For even values of N, a rather simple Eulerian integral representation of these functions is found. A few particular cases are mentioned.
openaire   +2 more sources

Hosts and Commensal Bacteria Synergistically Antagonize Opportunistic Pathogens at the Single‐Cell Resolution

Advanced Science, EarlyView.
In the tripartite‐species model, Drosophila larvae stimulate lactate production through excreting digestion enzymes. S. marcescens population senses a cue of lactate and tends to diverge into virulent and reduced virulence subclusters with remarkable heterogeneity to metabolize carbon metabolism and counter colonization resistance, giving a fitness ...
Sheng Zhang, Ziguang Wang, Anqi Liu, Jinshu Li, Jingjing Zhuang, Xiaowen Ji, Paul I. Mulama, Maoye Li, Haiqun Cao, Eng‐King Tan, Wei Liu   +10 more
wiley   +1 more source

A new generalization of confluent hypergeometric function and whittaker function

Boletim da Sociedade Paranaense de Matemática, 2018
In this article, we introduce a further generalizations of the confluent hypergeometric function and Whittaker function by introducing an extra parameter in the extended con uent hypergeometric function dened by Parmar [15].
Nabiullah Khan, Talha Usman, Mohd Ghayasuddin   +2 more
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A Note on Superspirals of Confluent Type

Mathematics, 2020
Superspirals include a very broad family of monotonic curvature curves, whose radius of curvature is defined by a completely monotonic Gauss hypergeometric function.
Jun-ichi Inoguchi, Rushan Ziatdinov, Kenjiro T. Miura   +2 more
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Gastrula‐Premarked Posterior Enhancer Primes Posterior Tissue Development Through Cross‐Talk with TGF‐β Signaling Pathway

Advanced Science, EarlyView.
A gastrula‐premarked enhancer within the first intron of Cdx2 governs posterior embryonic development via both regulating Cdx2 expression in cis and coordinating TGF‐β signaling in trans to ensure proper posterior body development. Functional rescue in gastruloids reveals a Cdx2‐independent pathway, highlighting p‐Enh‐eRNA as key epigenetic ...
Yingying Chen, Fengxiang Tan, Qing Fang, Lin Zhang, Jiaoyang Liao, Penglei Shen, Yun Qian, Mingzhu Wen, Rui Song, Yonggao Fu, He Jax Xu, Ran Wang, Cheng Li, Zhen Shao, Jinsong Li, Naihe Jing, Xianfa Yang   +16 more
wiley   +1 more source

Computing Hypergeometric Functions Rigorously [PDF]

ACM Transactions on Mathematical Software, 2019
We present an efficient implementation of hypergeometric functions in arbitrary-precision interval arithmetic. The functions 0 F 1 , 1 F 1 , 2 F 1 , and 2 F 0
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Type I Interferon Signaling Augments Autoimmunity in Neuromyelitis Optica Spectrum Disorder

Advanced Science, EarlyView.
The cGAS‐STING innate immune pathway is excessively activated both in peripheral monocytes and CNS microglia in patients with NMOSD, leading to an overproduction of IFN‐I. IFN‐I subsequently acts on AQP4‐specific autoreactive T cells. Blocking this pathway may offer novel therapeutic options for individuals with NMOSD.
Tian‐Xiang Zhang, Xiaoxiao Yang, Xue Gao, Xiaoshan Du, Xuegan Lian, Naiyuan Shao, Ye Liu, Zhenning Huang, Dongmei Jia, Alexander Y. L. Lau, Zhiguo Li, Zaal Kokaia, Fu‐Dong Shi, Chao Zhang   +13 more
wiley   +1 more source

Spirallikeness of shifted hypergeometric functions

, 2016
In the present paper, we study spirallikenss (including starlikeness) of the shifted hypergeometric function $f(z)=z_2F_1(a,b;c;z)$ with complex parameters $a,b,c,$ where $_2F_1(a,b;c;z)$ stands for the Gaussian hypergeometric function. First, we observe
Sugawa, Toshiyuki, Wang, Li-Mei
core   +1 more source

Irisin‐Loaded Cerium‐Containing Mesoporous Bioactive Glass for Effective Immunomodulation and Odontogenesis of Dental Pulp Cells

Advanced Science, EarlyView.
The Irisin/Ce‐MBGNs delivery system can slowly release myokine Irisin for vital pulp therapy. Irisin/Ce‐MBGNs can enhance mitochondrial function and promote the differentiation of inflammatory macrophages toward M2‐Mφ, thereby regulating the immune response mechanism of inflamed dental pulp.
Mingxin Wang, Yuxin Yang, Jingyao Guo, Yan Chen, Xiaolin Lu, Guangdong Zhang, Yuli Wang, Minhui Yao, Yue Liu, Qian Ma   +9 more
wiley   +1 more source

Derivatives of any Horn-type hypergeometric functions with respect to their parameters

Nuclear Physics B, 2020
We consider the derivatives of Horn hypergeometric functions of any number of variables with respect to their parameters. The derivative of such a function of n variables is expressed as a Horn hypergeometric series of n+1 infinite summations depending ...
Vladimir V. Bytev, Bernd A. Kniehl
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