Results 61 to 70 of about 107,962 (311)

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

Vitamin D Regulates Olfactory Function via Dual Transcriptional and mTOR‐Dependent Translational Control of Synaptic Proteins

Advanced Science, EarlyView.
Vitamin D (VitD) modulates olfactory function by remodeling dendrodendritic synapses in tufted cells through vitamin D receptor‐dependent transcriptional and translational mechanisms. VitD regulates synaptic protein translation partially via mTOR signaling.
Pengcheng Ren, Renhe Cao, Xiaoshan Ye, Wenbin Pang, Qingshang Bi, Meihui Huang, Qionglin Zhou, Dan Ye, Wei Xiang, Le Xiao   +9 more
wiley   +1 more source

On Summations of Generalized Hypergeometric Functions with Integral Parameter Differences

Mathematics
In this paper, we present an extension of the Karlsson–Minton summation formula for a generalized hypergeometric function with integral parameter differences.
Kirill Bakhtin, Elena Prilepkina
doaj   +1 more source

PD‐1 Inhibits CD4+ TRM‐Mediated cDC1 Mobilization via Suppressing JAML in Human NSCLC

Advanced Science, EarlyView.
CD4+ tissue‐resident memory T cells (TRMs) in non‐small cell lung cancer recruit conventional type 1 dendritic cells via XCL1‐XCR1 signaling, orchestrating antitumor immunity. The costimulatory molecule JAML is essential for this process. PD‐1 blockade restores JAML expression and cDC1 mobilization, while JAML agonists synergize with anti‐PD‐1 therapy,
Zheyu Shao, Qinyuan Liu, Zhongwei Xin, Zhiyao Zhou, Mingjie Lin, Di Chen, Zhixing Hao, Yongyuan Chen, Wenxuan Wu, Shuyang Zhang, Xiaoke Chen, Xia Xu, Jinfan Li, Wei Lin, Yuhao Lu, Dang Wu, Pin Wu   +16 more
wiley   +1 more source

Supersymmetry, shape invariance and the hypergeometric equation

, 2014
It has been shown earlier that the solubility of the Legendre and the associated Legendre equations can be understood as a consequence of an underlying supersymmetry and shape invariance. We have extended this result to the hypergeometric equation. Since
Das, Ashok K., Kalauni, Pushpa
core   +1 more source

Hypergeometric Functions for Function Fields

Finite Fields and Their Applications, 1995
Let \(\{a,b,c\}\) be complex constants. Then the famous Gauss hypergeometric equation is given by \[ z(1 - z) {d^2y \over dz^2} + \bigl( c - (a + b + 1) z \bigr) {dy \over dz} - aby = 0. \] One defines the Pochhammer symbol \((a)_n\) by \((a)_0 : = 1\) and for \(n > 1\), \((a)_n : = a(a + 1) (a + 2) (a + 3) \cdots (a + n - 1)\).
openaire   +1 more source

Gut Microbiota‐Derived Anandamide Mediates the Therapeutic Effects of Urolithin A on Alcohol‐Induced Cognitive and Social Dysfunction via CB1R‐DRD2‐RAP1 Signaling Axis

Advanced Science, EarlyView.
This study reveals that Urolithin A (UA) counteracts alcohol‐induced cognitive and social dysfunction (AICSD) via a gut microbiome‐dependent mechanism. UA‐enriched Bacteroids sartorii and Parabacteroids distasonis elevate anandamide (AEA), which activates the CB1R‐DRD2‐Rap1 signaling cascade to drive synaptic repair and reduce neuroinflammation ...
Hongbo Zhang, Zibin Li, Yao Xiao, Ji Bian, Caian He, Chao Liu, Lan Gong, Lin Han, Zhigang Liu, Min Wang   +9 more
wiley   +1 more source

A comparative study on generating function relations for generalized hypergeometric functions via generalized fractional operators

Advances in Difference Equations, 2018
In this paper, we present further generalizations of the beta function; Riemann–Liouville, Caputo and Kober–Erdelyi fractional operators by using confluent hypergeometric function with six parameters.
Ayşegül Çetinkaya, İ. Onur Kıymaz, Praveen Agarwal, Ravi Agarwal   +3 more
doaj   +1 more source

Extending Gaussian hypergeometric series to the $p$-adic setting

, 2012
We define a function which extends Gaussian hypergeometric series to the $p$-adic setting. This new function allows results involving Gaussian hypergeometric series to be extended to a wider class of primes.
Ahlgren S., Apéry R., DERMOT MCCARTHY, McCarthy D.   +3 more
core   +1 more source

GENERALIZATION OF EXTENDED BETA FUNCTION, HYPERGEOMETRIC AND CONFLUENT HYPERGEOMETRIC FUNCTIONS [PDF]

Honam Mathematical Journal, 2011
Summary: The main object of this paper is to present generalization of extended beta function, extended hypergeometric and confluent hypergeometric function introduced by Chaudhry et al. and obtained various integral representations, properties of beta function, Mellin transform, beta distribution, differentiation formulas, transform formulas ...
Lee, Dong Myung, Rathie, Arjun K., Parmar, Rakesh K., Kim, Young Sup   +3 more
openaire   +2 more sources