Results 61 to 70 of about 278,807 (229)

Fractional operators with generalized Mittag-Leffler k-function

Advances in Difference Equations, 2019
In this paper, our main aim is to deal with two integral transforms involving the Gauss hypergeometric functions as their kernels. We prove some composition formulas for such generalized fractional integrals with Mittag-Leffler k-function.
Shahid Mubeen, Rana Safdar Ali
doaj   +1 more source

Special function identities from superelliptic Kummer varieties

, 2015
We prove that the factorization of Appell's generalized hypergeometric series satisfying the so-called quadric property into a product of two Gauss' hypergeometric functions has a geometric origin: we first construct a generalized Kummer variety as ...
Clingher, Adrian, Doran, Charles F., Malmendier, Andreas   +2 more
core   +1 more source

Pathway Analyses of Inherited Neuropathies Identify Putative Common Mechanisms of Axon Degeneration

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Inherited neuropathies (IN) are associated with over 100 different genetic mutations presenting with a variety of phenotypes. This complexity suggests multiple pathways may converge onto a limited number of downstream pathways to effect axonal injury.
Christopher R. Cashman, Craig Blackstone, Reza Sadjadi   +2 more
wiley   +1 more source

Retrotransposon Expression Is Upregulated in Adulthood and Suppressed during Regeneration of the Limb in the Axolotl (Ambystoma mexicanum)

Advanced Biology, EarlyView.
The axolotl's remarkable regenerative abilities decline with age, the causes may include the numerous repetitive elements within its genome. This study uncovers how Ty3 retrotransposons and coexpression networks involving muscle and immune pathways respond to aging and regeneration, suggesting that transposons respond to physiological shifts and may ...
Samuel Ruiz‐Pérez, Nicolás Alcaraz, Karla Torres‐Arciga, José Antonio Ocampo‐Cervantes, Alejandra Cervera, Clementina Castro‐Hernández, Cynthia Gabriela Sámano‐Salazar, Ernesto Soto‐Reyes, Rodrigo González‐Barrios   +8 more
wiley   +1 more source

Key Connectomes and Synaptic‐Compartment‐Specific Risk Genes Drive Pathological α‐Synuclein Spreading

Advanced Science, EarlyView.
Utilizing a stereotaxic injection mouse model and a novel mathematical approach, this study uncovers key subnetworks that drive pathological α‐synuclein (α‐Syn) progression in Parkinson's disease (PD). Remarkably, just 2% of the strongest connections in the connectome are sufficient to predict its spread.
Yuanxi Li, Justin Torok, Shujing Zhang, Jessica Ding, Ning Wang, Courtney Lau, Shruti Kulkarni, Chaitali Anand, Julie Tran, Michael Cheng, Claire Lo, Binbin Lu, Yanzi Sun, Robert Damoiseaux, Xia Yang, Ashish Raj, Chao Peng   +16 more
wiley   +1 more source

Inequalities for generalized hypergeometric functions

Journal of Approximation Theory, 1972
AbstractIt is shown that some well-known Padé approximations for a particular form of the Gaussian hypergeometric function and two of its confluent forms give upper and lower bounds for these functions under suitable restrictions on the parameters and variable.
openaire   +2 more sources

Noncommutative Hypergeometry

, 2003
A certain special function of the generalized hypergeometric variety is shown to fulfill a host of useful noncommutative identities.Comment: 14 pages, LaTeX ...
Alexandre Yu. Volkov, Barnes, Bytsko, Faddeev, Faddeev, Faddeev, Kharchev, Ponsot, Ruijsenaars, Schützenberger, Volkov, Woronowicz   +11 more
core   +2 more sources

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

On the branched continued fraction expansions of the complete group of ratios of the generalized hypergeometric function $_4F_3$

Researches in Mathematics
The paper considers the classical problem of the rational approximation of analytic functions of complex variable, in particulary, to issues that arise when constructing branched continued fraction expansions for generalized hypergeometric functions ...
Y. Lutsiv, T. Antonova, R. Dmytryshyn, M. Dmytryshyn   +3 more
doaj   +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