On the evaluation of highly oscillatory finite Hankel transform using special functions
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Publication:285032
DOI10.1007/s11075-015-0033-3zbMath1341.65050OpenAlexW1204503392MaRDI QIDQ285032
Publication date: 18 May 2016
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-015-0033-3
momentsHankel transformoscillatory integralsClenshaw-Curtis pointsClenshaw-Curtis-Filon-type methodMeijer G-function
Special integral transforms (Legendre, Hilbert, etc.) (44A15) Numerical methods for discrete and fast Fourier transforms (65T50) Numerical methods for integral transforms (65R10) Numerical quadrature and cubature formulas (65D32) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60)
Related Items (13)
Quadrature rules and asymptotic expansions for two classes of oscillatory Bessel integrals with singularities of algebraic or logarithmic type ⋮ Efficient algorithms for integrals with highly oscillatory Hankel kernels ⋮ Efficient numerical methods for hypersingular finite-part integrals with highly oscillatory integrands ⋮ New algorithms for approximating oscillatory Bessel integrals with Cauchy-type singularities ⋮ Asymptotic expansion of the integral with two oscillations on an infinite interval ⋮ On the numerical approximation for Fourier-type highly oscillatory integrals with Gauss-type quadrature rules ⋮ Efficient quadrature rules for the singularly oscillatory Bessel transforms and their error analysis ⋮ Numerical integration of oscillatory Airy integrals with singularities on an infinite interval ⋮ On the numerical quadrature of weakly singular oscillatory integral and its fast implementation ⋮ Efficient calculation and asymptotic expansions of many different oscillatory infinite integrals ⋮ On numerical evaluation of integrals involving oscillatory Bessel and Hankel functions ⋮ Numerical methods for two classes of singularly oscillatory Bessel transforms and their error analysis ⋮ New algorithms for approximation of Bessel transforms with high frequency parameter
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