Results 31 to 40 of about 29,990 (187)

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

GNL3 Orchestrates AR Transcriptional Programs to Drive Castration‐Resistant Prostate Cancer and Immune Evasion

Advanced Science, EarlyView.
GNL3 is a novel AR coregulator with dual coactivator and corepressor functions in prostate cancer (PCa). Our study uncovers a previously unrecognized mechanism by which the AR transcriptional complex integrates oncogenic signaling and immune suppression.
Cuiting Zhang, Tin Long Cheong, Nitin Narwade, Dandan Dong, Mokan Deng, Zhengqiang Miao, Zhaoqiang Ding, Wenchao Li, Kate Man Kei Lei, Gong‐Hong Wei, Terence Chuen Wai Poon, Chu‐Xia Deng, Edwin Cheung   +12 more
wiley   +1 more source

A new A_n extension of Ramanujan's 1-psi-1 summation with applications to multilateral A_n series

, 2000
In this article, we derive some identities for multilateral basic hypergeometric series associated to the root system A_n. First, we apply Ismail's argument to an A_n q-binomial theorem of Milne and derive a new A_n generalization of Ramanujan's 1-psi-1 ...
Milne, S. C., Schlosser, M.
core   +1 more source

Organ‐Specific and Conserved Regulatory Logic Orchestrates Gene Expression in the Embryonic Mesothelium

Advanced Science, EarlyView.
Integrated multi‐omic profiling maps the gene‐regulatory landscape of the coelomic mesothelium across heart, lung, and pancreas. A cardiac‐restricted regulatory program is uncovered in which TBX20 activates heart mesothelial (epicardial) cis‐regulatory elements, while MAF emerges as a conserved regulator of mesothelial identity.
Quang Minh Dang, Nicola Smart, Andia Nicole Redpath, Joaquim Miguel Vieira   +3 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

Smartly Assembled near‐Micron RF‐Responsive Agents Bridge Transarterial Embolization and Immunothermal Potentiation

Advanced Science, EarlyView.
ABSTRACT Hepatocellular carcinoma (HCC) remains a significant clinical challenge due to the limited efficacy of conventional treatments like surgery, radiofrequency ablation (RFA), and transarterial embolization (TAE). Here, we develop an innovative TAE and immunothermal therapy strategy based on smartly assembled near‐micron layered double hydroxide ...
Qitao Hu, Junkang Ding, Lingxiao Zhang, Zhou Tian, Cheng Zeng, Shaomin Zou, Wenjing Zhang, Tangye Zeng, Zhencang Gao, Zhouyi Sun, Gang Liu, Weiyu Chen, Zhe Tang   +12 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

Multilateral inversion of A_r, C_r and D_r basic hypergeometric series

, 2006
In [Electron. J. Combin. 10 (2003), #R10], the author presented a new basic hypergeometric matrix inverse with applications to bilateral basic hypergeometric series.
D.M. Bressoud, F.H. Jackson, G. Bhatnagar, G. Bhatnagar, G. Bhatnagar, G. Gasper, G.M. Lilly, H. Rosengren, I.B. Frenkel, M. Jackson, M.J. Schlosser, M.J. Schlosser, M.J. Schlosser, Michael J. Schlosser, R.A. Gustafson, R.A. Gustafson, R.Y. Denis, S.C. Milne, S.C. Milne, S.C. Milne, S.C. Milne, W.J. Holman III, W.N. Bailey   +22 more
core   +1 more source

Pyroptosis‐Inducing Engineered Microparticles for Cancer Immunotherapy

Advanced Science, EarlyView.
Engineered microparticles co‐delivering geldanamycin and dual nanobodies induce targeted pyroptosis and block PD‐L1 and CD47 pathways, reprogramming the tumor microenvironment and achieving potent antitumor immunity in lung cancer models with minimal toxicity.
Tianli Hao, Zihan Deng, Yufei Liu, Li Liu, Deqiang Deng, Muyang Yang, Yuanyuan Geng, Yao Sun, Beilei Yue, Jonathan F. Lovell, Yushuai Liu, Lisen Lu, Honglin Jin   +12 more
wiley   +1 more source

Hypergeometric solutions to the q-Painlev\'e equation of type $A_4^{(1)}$

, 2006
We consider the q-Painlev\'e equation of type $A_4^{(1)}$ (a version of q-Painlev\'e V equation) and construct a family of solutions expressible in terms of certain basic hypergeometric series.
Chen Y, Forrester P J, Forrester P J, Forrester P J, Forrester P J, Gasper G, Kajiwara K, Kajiwara K, Kenji Kajiwara, Masuda T, Nijhoff F, Ohta Y, Ramani A, Sakai H, Taro Hamamoto   +14 more
core   +1 more source