Results 31 to 40 of about 1,384 (130)

A simple proof of Bailey's very-well-poised 6-psi-6 summation

, 2000
We give elementary derivations of some classical summation formulae for bilateral (basic) hypergeometric series. In particular, we apply Gauss' 2-F-1 summation and elementary series manipulations to give a simple proof of Dougall's 2-H-2 summation ...
Schlosser, M.
core   +1 more source

On the very-well-poised bilateral basic hypergeometric ψ77 series

Journal of Mathematical Analysis and Applications, 2010
AbstractThe purpose of this paper is to derive several new transformation formulas between bilateral and unilateral basic hypergeometric series by making use of a method which was first used by Watson and later more systematically employed by Bailey.
Zhang, Zhizheng, Hu, Qiuxia
  +4 more sources

The generalized Zwegers' $μ$-function and transformation formulas for the bilateral basic hypergeometric series

, 2023
23 ...
Shibukawa, Genki, Tsuchimi, Satoshi
openaire   +2 more sources

MSC‐Derived Exosomal lnc‐AGT‐3: A Novel Anti‐Angiogenic Target in Age‐Related Macular Degeneration Through p53 Signaling Pathway

Aging Cell, Volume 25, Issue 2, February 2026.
MSC‐derived exosomes deliver lnc‐AGT‐3 to vascular endothelial cells, where it binds hnRNP K in the nucleus. This interaction inhibits p53 ubiquitination, enhancing p53 stabilization and transcriptional activation of anti‐angiogenic targets TSP1. Consequently, p53‐mediated signaling is potentiated, effectively suppressing choroidal neovascularization ...
Lingjie Kong, Xiaoyan Han, Siyi Qi, Duo Li, Jingyue Zhang, Linyu Zhang, Shujie Zhang, Qin Jiang, Biao Yan, Chen Zhao   +9 more
wiley   +1 more source

On the dual nature of partial theta functions and Appell-Lerch sums

, 2014
In recent work, Hickerson and the author demonstrated that it is useful to think of Appell--Lerch sums as partial theta functions. This notion can be used to relate identities involving partial theta functions with identities involving Appell--Lerch sums.
Andrews, Andrews, Andrews, Andrews, Andrews, Andrews, Andrews, Andrews, Andrews, Bailey, Baxter, Bringmann, Choi, Choi, Eric T. Mortenson, Folsom, Hickerson, Hickerson, Lawrence, Lerch, Lovejoy, Mortenson, Ramanujan, Ramanujan, Rhoades, Schur, Slater, Warnaar, Zwegers   +28 more
core   +1 more source

Bilateral Basic Hypergeometric Series: A Study

Anusandhaan - Vigyaan Shodh Patrika, 2018
In the present work, certain transformations and summation formulae for basic bilateral hypergeometric series have been discussed. This study also gives the method of obtaining new transformations and summation formulae for basic bilateral hypergeometric series. Some of the applications have been mentioned.
openaire   +1 more source

Nicotine Reprograms Aging‐Related Metabolism and Protects Against Motor Decline in Mice

Advanced Science, Volume 12, Issue 40, October 27, 2025.
Long‐term oral nicotine intake protects against age‐related motor decline in mice without eliciting systemic toxicity. Integrated multi‐organ metabolomic profiling and longitudinal gut microbiota analyses reveal that nicotine induces coordinated remodeling of glycolipid and sphingolipid metabolism, enhances NAD⁺ bioavailability, and suppresses ceramide
Shuhui Jia, Xiaoyuan Jing, Ruoxi Wang, Mengke Su, Pei Wang, Yingxin Feng, Xiaohu Ren, Longfang Tu, Ping Wei, Zhen Lu, Yicong Jia, Feng Hong, Zhizhun Mo, Jiemeng Zou, Kang Huang, Caiyun Yan, Qianhui Zou, Liang Wang, Guoping Zhong, Zhi Zeng, Qiuliyang Yu, Wen Su, Xifei Yang, Fan Pan, Jianzhi Wang, Liping Wang, Lijun Kang, Paul J. Kenny, Zuxin Chen, Xin‐an Liu   +29 more
wiley   +1 more source

A Comprehensive Multiomics Signature of Doxorubicin‐Induced Cellular Senescence in the Postmenopausal Human Ovary

Aging Cell, Volume 24, Issue 8, August 2025.
Explants of human postmenopausal ovarian cortex and medulla were treated with doxorubicin for 24 h followed by culture for up to 10 days in doxorubicin‐free medium. Single nuclei sequencing and proteomics revealed an unbiased signature of ovarian senescence driven by epithelial cells in the cortex and stromal cells in the cortex and medulla ...
Pooja Raj Devrukhkar, Mark A. Watson, Bikem Soygur, Fei Wu, Joanna Bons, Hannah Anvari, Tomiris Atazhanova, Nicolas Martin, Tommy Tran, Kevin Schneider, Jacob P. Rose, Daniel Winer, Elisheva Shanes, Mary Ellen G. Pavone, Judith Campisi, David Furman, Simon Melov, Birgit Schilling, Francesca E. Duncan   +18 more
wiley   +1 more source

Superconformal indices of three-dimensional theories related by mirror symmetry

, 2011
Recently, Kim and Imamura and Yokoyama derived an exact formula for superconformal indices in three-dimensional field theories. Using their results, we prove analytically the equality of superconformal indices in some U(1)-gauge group theories related by
A Gadde, A Gadde, A Gadde, A Kapustin, A Kapustin, C Krattenthaler, C Römelsberger, C. Krattenthaler, CP Herzog, D Bashkirov, FA Dolan, FA Dolan, G Gasper, G. S. Vartanov, GS Vartanov, J Bhattacharya, J Bhattacharya, J Boer de, J Choi, J Kinney, KA Intriligator, N Hama, N Hama, O Aharony, O Aharony, S Cheon, S Kim, S Kim, V. P. Spiridonov, VP Spiridonov, VP Spiridonov, VP Spiridonov, VP Spiridonov, VP Spiridonov, VP Spiridonov, VP Spiridonov, Y Imamura   +36 more
core   +1 more source

The Mechanism Exploration of Traditional Chinese Medicine's “Different Treatments for Same Disease” Concept in Osteoporosis Therapy: A Serum Metabolomics Study

Journal of Cellular and Molecular Medicine, Volume 29, Issue 13, July 2025.
ABSTRACT The “different treatments for same disease” is an important concept of traditional Chinese medicine (TCM) therapy. In TCM, osteoporosis (OP) treatment is aimed at invigorating blood, strengthening spleen, and tonifying kidneys, and their typical herbs are Angelica sinensis (Oliv.) Diels (Danggui, DG), Poria cocos (Schw.) Wolf (Fuling, FL), and
Jingyuan Wen, Xuefeng Li, Zhen Wu, Liu Jiangyuan, Guanyin Wang, Xu Wang, Zhengsheng Bao, Yang Yu, Pinger Wang, Zhenyu Shi, Bing Xu, Yunhuo Cai, Hongting Jin, Jiali Chen   +13 more
wiley   +1 more source