Results 51 to 60 of about 133,643 (206)

On Second Order q-Difference Equations Satisfied by Al-Salam–Carlitz I-Sobolev Type Polynomials of Higher Order

Mathematics, 2020
This contribution deals with the sequence {Un(a)(x;q,j)}n≥0 of monic polynomials in x, orthogonal with respect to a Sobolev-type inner product related to the Al-Salam–Carlitz I orthogonal polynomials, and involving an arbitrary number j of q-derivatives ...
Carlos Hermoso, Edmundo J. Huertas, Alberto Lastra, Anier Soria-Lorente   +3 more
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

Bijective proofs of basic hypergeometric series identities [PDF]

Pacific Journal of Mathematics, 1987
Demonstrations basees sur la bijection des identites relatives aux series hypergeometriques ...
Joichi, J. T., Stanton, Dennis
openaire   +3 more sources

A multipoint conformal block chain in d dimensions

Journal of High Energy Physics, 2020
Conformal blocks play a central role in CFTs as the basic, theory-independent building blocks. However, only limited results are available concerning multipoint blocks associated with the global conformal group.
Sarthak Parikh
doaj   +1 more source

IncRNA‐ZFAS1, an Emerging Gate‐Keeper in DNA Damage‐Dependent Transcriptional Regulation

Advanced Science, EarlyView.
LncZFAS1 plays a crucial role during DNA damage response in mammalian cells. Loss of lncZFAS1 results in deficient DNA lesion removal and reduced cell viability. Mechanistically, lncZFAS1 modulates RNAPII phosphorylation and transcription and thereby promotes both GG‐NER and TC‐NER upon UV damage.
Jiena Liu, Qing Lu, Zixuan Fan, Jiahui Lin, Nan He, Xin Zhang, Zhaoya Han, Tingting Zhu, Zhenzhen Wu, Yingying Xu, Yuming Wang   +10 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

De Novo Reconstruction of 3D Human Facial Images from DNA Sequence

Advanced Science, EarlyView.
This study introduces Difface, a novel deep‐learning model for reconstructing 3D facial images only from DNA data. By integrating transformer networks, spiral convolutions, and a diffusion model, Difface directly aligns high‐dimensional SNP data with 3D facial structures.
Mingqi Jiao, Jiarui Li, Bingxu Zhong, Siyuan Du, Shuning Li, Manfei Zhang, Qibin Zhang, Zhongming Liang, Fan Liu, Chunman Zuo, Sijia Wang, Luonan Chen   +11 more
wiley   +1 more source

A Self‐Assembling LYTAC Mediates CTGF Degradation and Remodels Inflammatory Tumor Microenvironment for Triple‐Negative Breast Cancer Therapy

Advanced Science, EarlyView.
A CTGF‐LYTAC nanoplatform is developed to selectively degrade connective tissue growth factor (CTGF) in triple‐negative breast cancer (TNBC), inhibiting TGF‐β signaling and cell interactions in the tumor microenvironment (TME). This strategy effectively suppresses tumor growth and metastasis, outperforming antibody‐based therapy.
Jia‐Yi Lin, Ye Wu, Xiao‐Hui Liang, Min Tang, Xin Sun, Sheng‐Xin Lu, Jin‐Mei Jin, Xin Guo, Bei Wang, Hong‐Zhuan Chen, Wei‐Dong Zhang, Xin Luan   +11 more
wiley   +1 more source

scCompass: An Integrated Multi‐Species scRNA‐seq Database for AI‐Ready

Advanced Science, EarlyView.
scCompass integrates and standardizes transcriptomic data from ≈105 million single cells across 13 species, enabling the identification of stable expression genes and organ‐specific expression genes in humans and mice. It provides scalable datasets for AI model training, pretrained model checkpoints, and user‐friendly platforms for data sharing ...
Pengfei Wang, Wenhao Liu, Jiajia Wang, Yana Liu, Pengjiang Li, Ping Xu, Wentao Cui, Ran Zhang, Qingqing Long, Zhilong Hu, Chen Fang, Jingxi Dong, Chunyang Zhang, Yan Chen, Chengrui Wang, Guole Liu, Hanyu Xie, Yiyang Zhang, Meng Xiao, Shubai Chen, Haiping Jiang, The X‐Compass Consortium, Yiqiang Chen, Ge Yang, Shihua Zhang, Zhen Meng, Xuezhi Wang, Guihai Feng, Xin Li, Yuanchun Zhou   +29 more
wiley   +1 more source

Particle seas and basic hypergeometric series

Advances in Applied Mathematics, 2003
AbstractParticle seas were introduced by Claude Itzykson to give a direct combinatorial proof of the Jacobi triple product [Viennot, Empilements, 1999]. We show here how generalized particle seas can be employed to give bijective proofs of several identities in the theory of basic hypergeometric series.
openaire   +1 more source