Results 81 to 90 of about 41,081 (281)

Shape invariant hypergeometric type operators with application to quantum mechanics

, 2006
A hypergeometric type equation satisfying certain conditions defines either a finite or an infinite system of orthogonal polynomials. The associated special functions are eigenfunctions of some shape invariant operators.
A.F. Nikiforov, F. Cooper, J.W. Dabrowska, L. Infeld, M.A. Jafarizadeh, N. Cotfas, N. Cotfas   +6 more
core   +1 more source

Moments of Dirichlet splines and their applications to hypergeometric functions

Journal of Computational and Applied Mathematics, 1994
Dirichlet averages of multivariate functions are employed for a derivation of basic recurrence formulas for the moments of multivariate Dirichlet splines. An algorithm for computing the moments of multivariate simplex splines is presented. Applications to hypergeometric functions of several variables are discussed.
Neuman, Edward, Van Fleet, Patrick J.
openaire   +2 more sources

Soybean Auxin Transporter PIN3 Regulates Nitrate Acquisition to Improve Nitrogen Use and Seed Traits

Advanced Science, EarlyView.
Xu et al. discovers that switching off auxin transporters in soybean, PIN3a and PIN3b, disrupts auxin flow; this triggers ARF‐STF3/4 signal cascade to activate the nitrate importer NPF2.13 and soil nitrogen acquisition. Multi‐year field trials show edited soybeans maintain yield with higher oil content, offering a potential genetic route to improve ...
Huifang Xu, Shiyu Huang, Jie Wang, Tian Wang, Qingqing Han, Kexin Wu, Zhen Gao, Xiaolei Shi, Tianli Tu, Ming Wang, Laimei Huang, Jiaomei Chen, Yunqi Liu, Yumei Zhang, Guoqiang Lin, Zhichang Chen, Xu Chen   +16 more
wiley   +1 more source

CLinNET: An Interpretable and Uncertainty‐Aware Deep Learning Framework for Multi‐Modal Clinical Genomics

Advanced Science, EarlyView.
Identifying disease‐causing genes in neurocognitive disorders remains challenging due to variants of uncertain significance. CLinNET employs dual‐branch neural networks integrating Reactome pathways and Gene Ontology terms to provide pathway‐level interpretability of genomic alterations.
Ivan Bakhshayeshi, Mohammad Mahdi Hosseini, Ahmadreza Argha, Roxana Zahedi, Nigel H. Lovell, Hamid Alinejad‐Rokny   +5 more
wiley   +1 more source

Recent Developments of Hilbert-Type Discrete and Integral Inequalities with Applications

International Journal of Mathematics and Mathematical Sciences, 2012
This paper deals with recent developments of Hilbert-type discrete and integral inequalities by introducing kernels, weight functions, and multiparameters.
Lokenath Debnath, Bicheng Yang
doaj   +1 more source

Nap1L4a Cooperates with Scl/Klf1 to Recruit H2A.Z in Mediating Interactions Among Cis‐Regulatory Elements and Transcription Required for Primitive Erythropoiesis in Zebrafish

Advanced Science, EarlyView.
Nap1l4a is required in erythropoiesis and hypoxia responses via physical interaction with Klf1 and Scl to recruit the histone variant H2A.Z. This facilitates its associated cis‐regulatory element (CRE) remodeling and the consequent chromatin assembly, and activates the transcription of erythroid lineage‐specific genes.
JiaHao Shi, FuMing Lai, Zheng Shen, XiaoYan Zhang, HanFei Wang, WenYe Liu, YunLong Wang, KuanYu Li, GuoLiang Li, YaPing Fang, Jing‐Xia Liu   +10 more
wiley   +1 more source

Four Families of Summation Formulas for ₄F₃(1) with Application

Axioms
A collection of functions organized according to their indexing based on non-negative integers is grouped by the common factor of fixed integer N. This grouping results in a summation of N series, each consisting of functions partitioned according to ...
Belakavadi Radhakrishna Srivatsa Kumar, Arjun K. Rathie, Junesang Choi   +2 more
doaj   +1 more source

A simplification of Laplace’s method: Applications to the Gamma function and Gauss hypergeometric function

Journal of Approximation Theory, 2009
If a function \(f\) has a minimum at \(t_0\in(a, b)\), we have the classical asymptotic expansion \[ F(x):= \int^b_a g(t)\exp(-xf(t))\,dt\sim \exp(- xf(t_0)) \sum^\infty_{n=0} c_{2n}{\Gamma(n+{1\over 2})\over x^{n-{1\over 2}}},\quad x\to+\infty, \] but the coefficients, arising from a change of variable, are in general hard to find.
López, José L., Pagola, Pedro, Pérez Sinusía, E.   +2 more
openaire   +2 more sources

HiST: Histological Images Reconstruct Tumor Spatial Transcriptomics via MultiScale Fusion Deep Learning

Advanced Science, EarlyView.
HiST, a multiscale deep learning framework, reconstructs spatially resolved gene expression profiles directly from histological images. It accurately identifies tumor regions, captures intratumoral heterogeneity, and predicts patient prognosis and immunotherapy response.
Wei Li, Dong Zhang, Eryu Peng, Shijun Shen, Hamid Alinejad‐Rokny, Yao Liu, Junke Zheng, Cizhong Jiang, Youqiong Ye   +8 more
wiley   +1 more source

Fractional order of Legendre-type matrix polynomials

Advances in Difference Equations, 2020
Recently, special functions of fractional order calculus have had many applications in various areas of mathematical analysis, physics, probability theory, optimization theory, graph theory, control systems, earth sciences, and engineering. Very recently,
M. Zayed, M. Hidan, M. Abdalla, M. Abul-Ez   +3 more
doaj   +1 more source