Results 51 to 60 of about 3,527,371 (263)

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

A study of generalized hypergeometric Matrix functions via two-parameter Mittag–Leffler matrix function

Open Physics, 2022
The main aim of this article is to study a new generalizations of the Gauss hypergeometric matrix and confluent hypergeometric matrix functions by using two-parameter Mittag–Leffler matrix function.
Jain Shilpi, Goyal Rahul, Oros Georgia Irina, Agarwal Praveen, Momani Shaher   +4 more
doaj   +1 more source

Single-Cell Integration of Mouse Models of Autism Reveals Conserved Transcriptomic Signatures of Excitatory-Inhibitory Imbalance and Glial Dysfunction. [PDF]

Glia
Integrated scRNA‐seq from 11 ASD models reveals convergent E/I imbalance and glial dysfunction. Conserved astrocyte and oligodendrocyte dysregulation transcend model‐specific variability. Validated by human datasets. ABSTRACT The etiological heterogeneity of autism spectrum disorder (ASD) complicates identifying core molecular mechanisms.
Nani JV, Duque VJ, Muotri AR, Mecawi AS.
europepmc   +2 more sources

SAV1 in Cooperation With FKBP52 Participates in Implantation

Advanced Science, EarlyView.
The MST‐SAV1 complex modulates FKBP52 phosphorylation to fine‐tune PR activity, ensuring timely uterine transition to receptivity under estrogen signaling for implantation. Stromal SAV1 scaffolds MST1/2‐mediated FKBP52 phosphorylation via noncanonical Hippo to promote PR activity.
Yuhan Shao, Yafang Lu, Zhaoyu Jia, Junxiang Ren, Ziyi Ge, Xinyu Liu, Hui Zhao, Zi‐Jiang Chen, Junhao Yan, Wei Wang, Jia Yuan   +10 more
wiley   +1 more source

Hypergeometric functions in arithmetic geometry [PDF]

, 2009
textHypergeometric functions seem to be ubiquitous in mathematics. In this document, we present a couple of ways in which hypergeometric functions appear in arithmetic geometry.
Salerno, Adriana Julia, 1979-
core  

Hypergeometric Functions

, 2021
U ovom radu definirali smo opći oblik hipergeometrijske funkcije te se bliže upoznali s nekim specijalnim funkcijama kao što su generalizirane hipergeometrijske funkcije, Gaussova hipergeometrijska funkcija i konfluentna hipergeometrijska funkcija ...
Bijelić, Aleksandra
core   +1 more source

A Class of Extended Fractional Derivative Operators and Associated Generating Relations Involving Hypergeometric Functions

Axioms, 2012
Recently, an extended operator of fractional derivative related to a generalized Beta function was used in order to obtain some generating relations involving the extended hypergeometric functions [1].
H. M. Srivastava, Rakesh K. Parmar, Purnima Chopra   +2 more
doaj   +1 more source

On Hypergeometric Functions and Generalizations of Legendre's Relation

Journal of Mathematical Analysis and Applications, 2001
The authors consider a function introduced by \textit{G. D. Anderson}, \textit{S.-L. Qiu}, \textit{M. K. Vamanamurthu} and \textit{M. Vuorinen} [Pac. J. Math. 192, No. 1, 1-37 (2000; Zbl 0951.33012)], viz., \[ \begin{multlined} {\mathcal L}(a,b,c,r)= {_2F_1}[a- 1,b; c;r]{_2F_1}[a, b;c; 1-r]+ {_2F_1}[a- 1,b; c;1-r]{_2F_1}[a, b;c,r]-\\ {_2F_1}[a, b;c,r ...
Karatsuba, E.A, Vuorinen, M
openaire   +3 more sources

CausalCellInfer: Prioritizing Cell‐Type‐Specific Disease Associations From Genetically Predicted Transcriptomes in Biobank Cohorts

Advanced Science, EarlyView.
Bulk and genotype‐imputed transcriptomes obscure the cellular drivers of complex disease. CausalCellInfer resolves them by integrating invariant marker selection, deep learning deconvolution, and regularized matrix completion. Applied to ∼500 000 UK Biobank participants across 29 traits, it uncovers hallmark cell‐type proportion shifts, including ...
Liangying Yin, Yujia Shi, Ruoyu Zhang, Yong Xiang, Jinghong Qiu, Pak‐Chung Sham, Hon‐Cheong So   +6 more
wiley   +1 more source

Use of generalized hypergeometric functions in analytic stellar models [PDF]

, 1989
The present paper deals with the technique of integration theory of special functions applied to two simple analytic stellar models. We consider two cases, one with a non-linear dependence of the radial density and the other with a generalized energy ...
Kalla, Shyam L., Al-Sagabi, Bader
core