Results 41 to 50 of about 36,027 (210)

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

Generalized spiked harmonic oscillator [PDF]

, 2001
A variational and perturbative treatment is provided for a family of generalized spiked harmonic oscillator Hamiltonians H = -(d/dx)^2 + B x^2 + A/x^2 + lambda/x^alpha, where B > 0, A >= 0, and alpha and lambda denote two real positive parameters.
Hall, Richard L., Saad, Nasser, von Keviczky, Attila B.   +2 more
core   +1 more source

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

Gut Microbiota‐Derived Anandamide Mediates the Therapeutic Effects of Urolithin A on Alcohol‐Induced Cognitive and Social Dysfunction via CB1R‐DRD2‐RAP1 Signaling Axis

Advanced Science, EarlyView.
This study reveals that Urolithin A (UA) counteracts alcohol‐induced cognitive and social dysfunction (AICSD) via a gut microbiome‐dependent mechanism. UA‐enriched Bacteroids sartorii and Parabacteroids distasonis elevate anandamide (AEA), which activates the CB1R‐DRD2‐Rap1 signaling cascade to drive synaptic repair and reduce neuroinflammation ...
Hongbo Zhang, Zibin Li, Yao Xiao, Ji Bian, Caian He, Chao Liu, Lan Gong, Lin Han, Zhigang Liu, Min Wang   +9 more
wiley   +1 more source

Generalized hypergeometric functions at unit argument [PDF]

Proceedings of the American Mathematical Society, 1992
The analytic continuation near z = 1 z = 1 of the hypergeometric function p + 1 F p ( z ) _{p + 1}{F_p}\left ( z \right ) is ...
openaire   +3 more sources

Certain Generalizations of Quadratic Transformations of Hypergeometric and Generalized Hypergeometric Functions

Symmetry, 2022
There have been numerous investigations on the hypergeometric series 2F1 and the generalized hypergeometric series pFq such as differential equations, integral representations, analytic continuations, asymptotic expansions, reduction cases, extensions of one and several variables, continued fractions, Riemann’s equation, group of the hypergeometric ...
Mohd Idris Qureshi, Junesang Choi, Tafaz Rahman Shah   +2 more
openaire   +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

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

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

Mechanisms of Aristolochic Acid Resistance in Specialist Butterflies and Evolutionary Insights for Potential Protective Pathways

Advanced Science, EarlyView.
The study provides an extreme example of insect adaptation to highly toxic defenses of host plants, and investigates the complex strategies to resist carcinogenic aristolochic acids, including physical isolation, metabolic detoxification, and DNA repair.
Yang Luan, Yubo Zhang, Jingjing Li, Jianqing Zhu, Yuyang Lei, Yushi Hu, Zhenqiang Xin, Tianpei Xie, Jiang Zheng, Yuanyuan Lin, Jingjing Shen, Yiyi Cao, Xinyue You, Jing Xi, Jiaying Wu, Weiying Liu, Xinyu Zhang, Yuanting Zheng, David J. Lohman, Leming Shi, Wei Zhang   +20 more
wiley   +1 more source