Results 31 to 40 of about 3,400 (148)

Generalized Laplace transform with matrix variables

International Journal of Mathematics and Mathematical Sciences, 1987
In the present paper we have extended generalized Laplace transforms of Joshi to the space of m×m symmetric matrices using the confluent hypergeometric function of matrix argument defined by Herz as kernel.
R. M. Joshi, J. M. C. Joshi
doaj   +1 more source

Properties and Applications of Extended Hypergeometric Functions

Ingeniería y Ciencia, 2014
In this article, we study several properties of extended Gauss hypergeometric and extended confluent hypergeometric functions. We derive several integrals, inequalities and establish relationship between these and other special functions.
Daya Krishna Nagar, Raúl Alejandro Morán-Vásquez, Arjun K Gupta   +2 more
doaj   +1 more source

A Class of Extended Mittag–Leffler Functions and Their Properties Related to Integral Transforms and Fractional Calculus

Mathematics, 2015
In a joint paper with Srivastava and Chopra, we introduced far-reaching generalizations of the extended Gammafunction, extended Beta function and the extended Gauss hypergeometric function.
Rakesh K. Parmar
doaj   +1 more source

Energy Symmetry Breaking of Dirac and Weyl Fermions in Magnetized Spinning Conical Geometries

Advanced Theory and Simulations, EarlyView.
Exact solutions for relativistic fermions in magnetized, spinning conical geometries reveal defect‐induced symmetry breaking between fermion and antifermion energies. Energy levels depend on the magnetic field, background geometry, and fractionalized spin. When the defect's spin dominates, quantum effects diminish.
Abdullah Guvendi, Omar Mustafa
wiley   +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

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

On an extension of extended Beta and hypergeometric functions [PDF]

, 2015
Motivated mainly by certain interesting recent extensions of the Gamma, Beta and hypergeometric functions, we introduce here new extensions of the Beta function, hypergeometric and confluent hypergeometric functions. We systematically investigate several
R. K. Parmar, P. Chopra, R. Paris
semanticscholar   +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

Approximation Properties of an Extended Family of the Szász–Mirakjan Beta-Type Operators

Axioms, 2019
Approximation and some other basic properties of various linear and nonlinear operators are potentially useful in many different areas of researches in the mathematical, physical, and engineering sciences.
Hari Mohan Srivastava, Gürhan İçöz, Bayram Çekim   +2 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