Results 61 to 70 of about 41,081 (281)

Extensions of the Classical Transformations of 3F2

, 2019
It is shown that the classical quadratic and cubic transformation identities satisfied by the hypergeometric function ${}_3F_2$ can be extended to include additional parameter pairs, which differ by integers.
Maier, Robert S.
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

Results Concerning the Analysis of Multi-Index Whittaker Function

Journal of Mathematics, 2022
A variety of functions, their extensions, and variants have been extensively investigated, mainly due to their potential applications in diverse research areas.
Nabiullah Khan, Saddam Husain, Talha Usman, Serkan Araci   +3 more
doaj   +1 more source

Spectral zeta functions of a 1D Schr\"odinger problem

, 2012
We study the spectral zeta functions associated to the radial Schr\"odinger problem with potential V(x)=x^{2M}+alpha x^{M-1}+(lambda^2-1/4)/x^2. Using the quantum Wronskian equation, we provide results such as closed-form evaluations for some of the ...
Baxter R. J., Bazhanov V. V., Bazhanov V. V., Bazhanov V. V., Bazhanov V. V., Bazhanov V. V., Bazhanov V. V., Bender C. M., Bender C. M., Bender C. M., Bender C. M., Bender C. M., Bender C. M., Crandall R. E., Dorey P., Dorey P., Dorey P., Dorey P., Dorey P., Elizalde E., Fateev V. A., Fendley P., Gradshteyn I. S., Mezincescu G. A., Newton R. G., Shin K. C., Sibuya Y., Turbiner A. V., Voros A., Voros A., Voros A., Voros A., Voros A.   +32 more
core   +1 more source

The application of hypergeometric functions to computing fractional order derivatives of sinusoidal functions [PDF]

Bulletin of the Polish Academy of Sciences Technical Sciences, 2016
Abstract In the paper, the analytical forms of fractional order derivatives of sinusoidal function according to definitions of Riemann - Liouville and Caputo are presented. To determine the analytical form of the integrals appearing in definitions of derivatives of fractional order the Lommel functions from hypergeometrical functions family were ...
M. Włodarczyk, A. Zawadzki
openaire   +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

On the birthday problem: some generalizations and applications

International Journal of Mathematics and Mathematical Sciences, 2003
We study the birthday problem and some possible extensions. We discuss the unimodality of the corresponding exact probability distribution and express the moments and generating functions by means of confluent hypergeometric functions U(−;−;−) which are ...
P. N. Rathie, P. Zörnig
doaj   +1 more source

Computation of the Generalized F Distribution

, 1999
Exact expressions are given for the distribution function of the ratio of a weighted sum of independent chi-squared variables to a single chi-square variable, scaled appropriately.
Dunkl, Charles F., Ramirez, Donald E.
core   +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

Asymptotics of Harish-Chandra expansions, bounded hypergeometric functions associated with root systems, and applications

, 2012
A series expansion for Heckman-Opdam hypergeometric functions $\varphi_\lambda$ is obtained for all $\lambda \in \mathfrak a^*_{\mathbb C}.$ As a consequence, estimates for $\varphi_\lambda$ away from the walls of a Weyl chamber are established.
Narayanan, E. K., Pasquale, A., Pusti, S.   +2 more
core   +4 more sources