Results 61 to 70 of about 34,488 (206)

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  

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

Asymptotic estimates of the difference of products of Bessel functions by the integral of these functions

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2020
In the study of direct and inverse problems of finding the right-hand side of degenerate equations of mixed type with different boundary conditions, the problem arises of establishing asymptotic estimates for the differences of the products of ...
Kamil Basirovich Sabitov
doaj   +1 more source

Limits of elliptic hypergeometric integrals

, 2006
In math.QA/0309252, the author proved a number of multivariate elliptic hypergeometric integrals. The purpose of the present note is to explore more carefully the various limiting cases (hyperbolic, trigonometric, rational, and classical) that exist.
Rains, Eric M.
core   +1 more source

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

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

"Sixth root of unity" and Feynman diagrams: hypergeometric function approach point of view

, 2010
We briefly discuss the transcendental constants generated through the epsilon-expansion of generalized hypergeometric functions and their interrelation with the "sixth root of unity."Comment: 6 pages, presented at "Loops and Legs in Quantum Field Theory ...
't Hooft, B.A. Kniehl, Baikov, Batir, Bierenbaum, Bigotte, Blümlein, Bonciani, Boos, Borwein, Borwein, Broadhurst, Broadhurst, Broadhurst, Broadhurst, Broadhurst, Broadhurst, Broadhurst, Brown, Bytev, Chetyrkin, Chetyrkin, Chu, Connon, Davydychev, Davydychev, Davydychev, Davydychev, Davydychev, Davydychev, Davydychev, Davydychev, Del Duca, Ferguson, Fleischer, Fleischer, Frink, Goncharov, Huber, Jegerlehner, Kalmykov, Kalmykov, Kalmykov, Kalmykov, Kalmykov, Kalmykov, Kalmykov, Kalmykov, Kalmykov, Kalmykov, Kalmykov, Kazakov, Kazakov, Kleinert, Lee, Lehmer, Lewin, M.Yu. Kalmykov, Mathar, Maître, McKeon, Moch, Nan-Yue, Remiddi, Strosser, Takayama, Tarasov, Tkachov, Usyukina, van der Bij, van der Poorten, Vollinga, Weinzierl, Zucker   +73 more
core   +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

Composition Formula for Saigo Fractional Integral Operator Associated with V-Function

Journal of Mathematics, 2022
In this study, we form integral formulas for Saigo’s hypergeometric integral operator involving V-function. Corresponding assertions for the classical Riemann–Liouville (R-L) and Erdélyi–Kober (E-K) fractional integral operator are extrapolated. Also, by
Sunil Chandak, Anita Alaria, Biniyam Shimelis   +2 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