Results 51 to 60 of about 4,681 (200)

A highly accurate numerical method for solving boundary value problem of generalized Bagley‐Torvik equation

Mathematical Methods in the Applied Sciences, EarlyView.
A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay, Mtema James Chin, Nazim I. Mahmudov   +2 more
wiley   +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

Finite Biorthogonal Polynomials Suggested by the Finite Orthogonal Polynomials Mnp,qx$$ {M}_n^{\left(p,q\right)}(x) $$

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Constructing a biorthogonal structure from scratch, that is, defining a biorthogonal pair is quite tough. Because here the orthogonality must be established between two different sets. There are four known univariate biorthogonal polynomial sets, suggested by Laguerre, Jacobi, Hermite and Szegő‐Hermite polynomials, in the literature.
Esra Güldoğan Lekesiz
wiley   +1 more source

Tables of the Lauricella Hypergeometric Functions F^(3)_A

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki
The generalized hypergeometric function q​Fp​ is a power series in which the ratio of successive terms is a rational function of the summation index. The Gaussian hypergeometric functions 2F1​ and 3F3​ are most common special cases of the generalized ...
Abbasova, M.O., Ergashev, T.G.
doaj   +1 more source

Decoding Dual Regulatory Layers: Integrating Differential Expression and Alternative Splicing Dynamics in the Evolution of Laryngeal Echolocation Across Chiropteran Lineages

Integrative Zoology, EarlyView.
We integrated short‐read and long‐read RNA‐seq data from cochlear tissues of echolocating and non‐echolocating bats to disentangle transcriptional and post‐transcriptional regulation. Echolocating bats showed neural‐function enrichment among differentially expressed genes, while alternatively spliced genes were linked to epigenetic regulation. Overlaps
Jianyu Wu, Daoyuan Hu, Min Chen, Xiuguang Mao   +3 more
wiley   +1 more source

Generalized degenerate Bernoulli numbers and polynomials arising from Gauss hypergeometric function

Advances in Difference Equations, 2021
A new family of p-Bernoulli numbers and polynomials was introduced by Rahmani (J. Number Theory 157:350–366, 2015) with the help of the Gauss hypergeometric function.
Taekyun Kim, Dae San Kim, Lee-Chae Jang, Hyunseok Lee, Hanyoung Kim   +4 more
doaj   +1 more source

Drugst.One DREAM—Drug repurposing through expert annotation and modification

British Journal of Pharmacology, EarlyView.
Background and Purpose Complex diseases often lack an actionable understanding of their underlying causal biological mechanisms, which leads to treating symptoms rather than causes. Network and systems medicine define disease mechanisms through disease‐associated genes, their encoded proteins and their protein–protein interactions (PPIs), thus forming ...
Lisa M. Spindler, Johannes Kersting, Quirin Manz, Michael Hartung, Andreas Maier, Zeinab M. Mamdouh, Ana I. Casas, Jan Baumbach, Markus List   +8 more
wiley   +1 more source

The Marichev-Saigo-Maeda Fractional Calculus Operators Pertaining to the V-Function

Abstract and Applied Analysis, 2021
In the present paper, we establish some composition formulas for Marichev-Saigo-Maeda (MSM) fractional calculus operators with V-function as the kernel.
S. Chandak, Biniyam Shimelis, Nigussie Abeye, A. Padma   +3 more
doaj   +1 more source

Impact of G‐CSF on Donor TCR Clonal Diversity and T Cell Function During Donor HSC Mobilisation

Cell Proliferation, EarlyView.
In this study, we found that G‐CSF mobilisation caused a reduction in TCR clonal diversity and down‐regulation of T‐cell function in donors. This may be one of the reasons for the low incidence of GVHD mediated by G‐CSF after allo‐HSCT. Source: Created in BioRender. Li https://BioRender.com/otownki.
Xinye Li, Zhixi Chen, Jie Chen, Xingwei Zhang, Jiamian Zheng, Zirui Liu, Meixue Pan, Yue Li, Bo Yu, Shaohua Chen, Jing Lai, Xianfeng Zha, Liye Zhong, Yikai Zhang, Yangqiu Li   +14 more
wiley   +1 more source