Results 41 to 50 of about 165,948 (320)
On polynomials connected to powers of Bessel functions
, 2013 The series expansion of a power of the modified Bessel function of the first kind is studied. This expansion involves a family of polynomials introduced by C. Bender et al. New results on these polynomials established here include recurrences in terms of
Moll, Victor H., Vignat, C.
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New index transforms of the Lebedev- Skalskaya type [PDF]
, 2015 New index transforms, involving the real part of the modified Bessel function of the first kind as the kernel are considered. Mapping properties such as the boundedness and invertibility are investigated for these operators in the Lebesgue spaces ...
Yakubovich, Semyon
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International Journal of Mathematics and Mathematical Sciences, 1988 A formula of inversion is established for an integral transform whose kernel is the Bessel function Ju(kr) where r varies over the finite interval (0,a) and the order u is taken to be the eigenvalue parameter.
D. Naylor
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Unified integral associated with the generalized V-function
Advances in Difference Equations, 2020 In this paper, we present two new unified integral formulas involving a generalized V-function. Some interesting special cases of the main results are also considered in the form of corollaries.
S. Chandak +2 more
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Relation of Some Known Functions in terms of Generalized Meijer G-Functions
Journal of Mathematics, 2021 The aim of this paper is to prove some identities in the form of generalized Meijer G-function. We prove the relation of some known functions such as exponential functions, sine and cosine functions, product of exponential and trigonometric functions ...
Syed Ali Haider Shah +3 more
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Green's function for the lossy wave equation
Revista Brasileira de Ensino de FísicaUsing an integral representation for the first kind Hankel (Hankel-Bessel Integral Representation) function we obtain the so-called Basset formula, an integral representation for the second kind modified Bessel function.
R. Aleixo, E. Capelas de Oliveira
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Some Upper Bounds for RKHS Approximation by Bessel Functions
Axioms, 2022 A reproducing kernel Hilbert space (RKHS) approximation problem arising from learning theory is investigated. Some K-functionals and moduli of smoothness with respect to RKHSs are defined with Fourier–Bessel series and Fourier–Bessel transforms ...
Mingdang Tian +2 more
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Estimation of generalized fractional integral operators with nonsingular function as a kernel
AIMS Mathematics, 2021 Bessel function has a significant role in fractional calculus having immense applications in physical and theoretical approach. Present work aims to introduce fractional integral operators in which generalized multi-index Bessel function as a kernel, and
Iqra Nayab +6 more
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Casorati Determinant Solutions for the Discrete Painlev\'e III Equation
, 1994 The discrete Painlev\'e III equation is investigated based on the bilinear formalism. It is shown that it admits the solutions expressed by the Casorati determinant whose entries are given by the discrete Bessel function.
Alfred Ramani +4 more
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Advanced Functional Materials, EarlyView.This research applies advanced laser beam shaping (LCoS‐SLM) to fabricate the Ti‐6Al‐4V alloy via laser powder bed fusion. A tailored beam is used to prevent martensite formation and create a dual α+β microstructure by controlling cooling rates.
Reza Esmaeilzadeh +8 more
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