Results 81 to 90 of about 41,148 (275)

Spectral zeta functions of a 1D Schr\"odinger problem

, 2012
We study the spectral zeta functions associated to the radial Schr\"odinger problem with potential V(x)=x^{2M}+alpha x^{M-1}+(lambda^2-1/4)/x^2. Using the quantum Wronskian equation, we provide results such as closed-form evaluations for some of the ...
Baxter R. J., Bazhanov V. V., Bazhanov V. V., Bazhanov V. V., Bazhanov V. V., Bazhanov V. V., Bazhanov V. V., Bender C. M., Bender C. M., Bender C. M., Bender C. M., Bender C. M., Bender C. M., Crandall R. E., Dorey P., Dorey P., Dorey P., Dorey P., Dorey P., Elizalde E., Fateev V. A., Fendley P., Gradshteyn I. S., Mezincescu G. A., Newton R. G., Shin K. C., Sibuya Y., Turbiner A. V., Voros A., Voros A., Voros A., Voros A., Voros A.   +32 more
core   +1 more source

Machine Learning for Green Solvents: Assessment, Selection and Substitution

Advanced Science, EarlyView.
Environmental regulations have intensified demand for green solvents, but discovery is limited by Solvent Selection Guides (SSGs) that quantify solvent sustainability. Training a machine learning model on GlaxoSmithKline SSG, a database of sustainability metrics for 10,189 solvents, GreenSolventDB is developed. Integrated with Hansen solubility metrics,
Rohan Datta, Janhavi Nistane, Abhishek Sose, Harikrishna Sahu, Rampi Ramprasad   +4 more
wiley   +1 more source

A new hybrid special function class and numerical technique for multi-order fractional differential equations

Alexandria Engineering Journal
This study aims to investigate the properties of fractional calculus theory (FCT) in the complex domain. We focus on the relationship between the theories of special functions (SFT) and FCT, which have seen recent advancements and have led to various ...
F. Ghanim, Fareeha Sami Khan, Hiba F. Al-Janaby, Ali Hasan Ali   +3 more
doaj   +1 more source

Mapping Genetic Regulation of Transcription to Identify Functional Variants and Genes Associated with Pancreatic Cancer Risk

Advanced Science, EarlyView.
Integration of a pancreatic eQTL map with a GWAS meta‐analysis identifies 82 putative functional variants and 15 genes. The association between rs11102484 and pancreatic cancer risk is observed in a total of 5699 cases and 8467 controls. The G allele of rs11102484 weakens ZNF263 binding and the silencer‐promoter interaction, thereby increasing ST7L ...
Xiaoyang Wang, Hui Geng, Zhengyan Yao, Yuan Jiang, Can Chen, Zequn Lu, Shuangshuang Tian, Ming Zhang, Ruiyan Liu, Chenxi Feng, Bin Li, Xiaoping Miao, Jianbo Tian, Shaokai Zhang, Ying Zhu   +14 more
wiley   +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

Asymptotics of Harish-Chandra expansions, bounded hypergeometric functions associated with root systems, and applications

, 2012
A series expansion for Heckman-Opdam hypergeometric functions $\varphi_\lambda$ is obtained for all $\lambda \in \mathfrak a^*_{\mathbb C}.$ As a consequence, estimates for $\varphi_\lambda$ away from the walls of a Weyl chamber are established.
Narayanan, E. K., Pasquale, A., Pusti, S.   +2 more
core   +4 more sources

Diversity of Pharmaceuticals Enhances Antibiotic Resistance in the Invertebrate Gut via Biofilm‐Mediated Mechanisms

Advanced Science, EarlyView.
Pharmaceutical diversity acts as an independent driver of antibiotic resistance in soil invertebrates. While bulk soil remains unaffected, the collembolan gut microbiome exhibits significant resistance gene enrichment under complex chemical exposure and diurnal warming.
Yi‐Fei Wang, Ya‐Ning Wang, Da Lin, Jia‐Yang Xu, Feng‐Yuan Qi, Hui‐Ling Cui, Hui‐Jie Lu, Min Qiao, Edward Topp, Dong Zhu, Matthias C. Rillig, Yong‐Guan Zhu   +11 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

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

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