Results 71 to 80 of about 36,153 (203)
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 +3 more
doaj +1 more source
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 +2 more
wiley +1 more source
Mellin transforms with only critical zeros: generalized Hermite functions [PDF]
, 2013 We consider the Mellin transforms of certain generalized Hermite functions based upon certain generalized Hermite polynomials, characterized by a parameter $\mu>-1/2$.
Coffey, Mark W.
core
Some Summation Theorems for Generalized Hypergeometric Functions [PDF]
Axioms, 2018 Essentially, whenever a generalized hypergeometric series can be summed in terms of gamma functions, the result will be important as only a few such summation theorems are available in the literature. In this paper, we apply two identities of generalized hypergeometric series in order to extend some classical summation theorems of hypergeometric ...
Masjed-Jamei, Mohammad, Koepf, Wolfram
openaire +2 more sources
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
Modeling small‐angle scattering data of porous and/or bicontinuous structures in n dimensions
Journal of Applied Crystallography, EarlyView.A small‐angle scattering fitting function is derived for porous materials with arbitrary fractal dimension. It includes a correlation peak and a power law at higher q.Fractal structures are often observed in small‐angle scattering experiments where a simple power law q−α describes the scattering intensity over many orders of magnitude.
Henrich Frielinghaus
wiley +1 more source
Quadratic transformation inequalities for Gaussian hypergeometric function
Journal of Inequalities and Applications, 2018 In the article, we present several quadratic transformation inequalities for Gaussian hypergeometric function and find the analogs of duplication inequalities for the generalized Grötzsch ring function.
Tie-Hong Zhao +3 more
doaj +1 more source
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 +3 more
wiley +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 +14 more
wiley +1 more source
Diabetes, Obesity and Metabolism, EarlyView.ABSTRACT Aims The burden of chronic liver disease (CLD) is increasing. This study aims to identify protein markers for CLD and its progression, and develop a protein‐based risk prediction model. Materials and Methods We used proteome‐wide Mendelian randomization (MR), Bayesian colocalization and summary‐data‐based MR with proteomic data from deCODE ...
Xinxuan Li +9 more
wiley +1 more source