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Hypergeometric and Basic Hypergeometric Series and Integrals Associated with Root Systems [PDF]

, 2020
39 pages; small changes and references added; this text will appear as a chapter in the book "Multivariable Special Functions" (edited by Tom Koornwinder and Jasper Stokman) which is part of the new Askey-Bateman ...
openaire   +2 more sources

Paternal Circadian Disruption Impairs Offspring Cognition via Sperm microRNAs

Advanced Science, EarlyView.
Paternal circadian disruption remodels the sperm small RNA payload, elevating miR‐92a‐3p/miR‐25‐3p levels and perturbing early embryonic gene regulatory programs. Microinjection experiments and single‐embryo transcriptomics reveal sex‐specific developmental vulnerabilities, ultimately impairing offspring hippocampal synaptic plasticity and cognition ...
Kexin Zou, Sisi Luo, Binliang Tang, Zhiqiang Liu, Yuchuan Zhou, Yicong Meng, Zhengmu Wu, Zheng Sun, Weihui Shi, Jianzhong Sheng, Chuanjin Yu, Zhenhua Li, Siyi Wei, Mo Zhang, Yujie Luo, Jing Yan, Xueyun Qin, Jiahang Mo, Chengliang Zhou, Jinsong Li, Hefeng Huang, Yifu Ding, Guolian Ding   +22 more
wiley   +1 more source

Generating functions for some families of the generalized Al-Salam–Carlitz q-polynomials

Advances in Difference Equations, 2020
In this paper, by making use of the familiar q-difference operators D q $D_{q}$ and D q − 1 $D_{q^{-1}}$ , we first introduce two homogeneous q-difference operators T ( a , b , c D q ) $\mathbb{T}(\mathbf{a},\mathbf{b},cD_{q})$ and E ( a , b , c D q − 1 )
Hari Mohan Srivastava, Sama Arjika
doaj   +1 more source

q-Supercongruences from squares of basic hypergeometric series

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2022
We give some new $q$-supercongruences on truncated forms of squares of basic hypergeometric series. Most of them are modulo the cube of a cyclotomic polynomial, and two of them are modulo the fourth power of a cyclotomic polynomial. The main ingredients of our proofs are the creative microscoping method, a lemma of El Bachraoui, and the Chinese ...
Victor J. W. Guo, Long Li
openaire   +3 more sources

TME/NIR Dual‐Responsive Zinc‐Based Targeted Nanoagonist for Multimodal Amplification of STING‐Mediated Cancer Immunotherapy

Advanced Science, EarlyView.
A multifunctional nanoagonist (cDZ@IP) enables nano‐metabolite–driven multimodal activation of the STING pathway and enhanced immune recognition, achieving potent antitumor immunity and suppressing tumor growth and metastasis. This strategy highlights the rational design of therapeutic metabolites and establishes a new paradigm bridging nanomedicine ...
Kepeng Hu, Jiawei Wang, Wei Zhang, Zhixuan Wu, Jing Chen, Yujing He, Xiyue Duan, Yaoting He, Xin Xin, Haoyi Xiang, Yijing Wang, Chengwei Wu, Yang Yi, Qing Meng, Yuqian Qiao, Kui Cheng, Xiaojun Long, Zhangfa Song   +17 more
wiley   +1 more source

New Mock Theta Function Identities via Fractional q-Calculus and Bilateral ₂ψ₂ Series

Fractal and Fractional
Mock theta functions, introduced by Ramanujan in his last letter to Hardy, play a significant role in q-series theory and have natural connections to fractional q-calculus. In this paper, we study bilateral hypergeometric series of the form ψ22= ∑n=−∞∞(a,
Qiuxia Hu, Bilal Khan
doaj   +1 more source

Kinsenoside Targets IDH1 to Restore Microglial Immune‐Metabolic Homeostasis for Alzheimer's Disease Therapy

Advanced Science, EarlyView.
Dysregulated TCA cycle contributes to Alzheimer's disease (AD) pathogenesis. Here, we show that microglial isocitrate dehydrogenase 1 (IDH1) is a critical driver. Elevated IDH1 disrupts citrate metabolism and mitochondrial function, exacerbating AD pathology.
Qianqian Li, Yajin Liao, Yan‐bo Zhao, Hongxing Wu, Tong Jin, Shuoshuo Li, Yuhan Liu, Peng Li, Songying Ouyang, Zekai Li, YuTing Xia, Qian Hua, Rui‐Yuan Pan, Zengqiang Yuan   +13 more
wiley   +1 more source

Partial Sums of Two Quartic q-Series

Symmetry, Integrability and Geometry: Methods and Applications, 2009
The partial sums of two quartic basic hypergeometric series are investigated by means of the modified Abel lemma on summation by parts. Several summation and transformation formulae are consequently established.
Wenchang Chu, Chenying Wang
doaj   +1 more source

Rational Interpolation and Basic Hypergeometric Series

, 2004
We give a Newton type rational interpolation formula (Theorem \ref{theo}). It contains as a special case the original Newton interpolation, as well as the recent interpolation formula of Zhi-Guo Liu, which allows to recover many important classical $q$-series identities.
Fu, Amy M., Lascoux, Alain
openaire   +3 more sources

G6PC Downregulation Promotes Renal Calcium Oxalate Stone Formation via Lactate‐Induced SNAIL1 K206 Lactylation and Epithelial‐Mesenchymal Transition

Advanced Science, EarlyView.
In renal calcium oxalate stone formation, G6PC downregulation leads to lactate accumulation. This lactate mediates CBP/p300‐dependent lactylation of SNAIL1 at K206, promoting its nuclear translocation. Nuclear SNAIL1 activates the TGF‐β/SMAD3 pathway, driving epithelial‐mesenchymal transition and fibrosis, which ultimately facilitates crystal ...
Kai Liu, Boming Zhang, Ruixin Fan, Chen Duan, Yangjun Zhang, Huahui Wu, Xiangyang Yao, Xiongmin Mao, Bo Li, Youmiao Zeng, Zhenzhen Xu, Yang Wang, Mengcheng Luo, Xinyu Xu, Ninghan Feng, Heng Li, Hua Xu   +16 more
wiley   +1 more source