Integral representation for Bessel's functions of the first kind and Neumann series
From MaRDI portal
Publication:722472
DOI10.1007/s00025-018-0826-5zbMath1393.33006arXiv1708.09715OpenAlexW2963623107MaRDI QIDQ722472
Publication date: 23 July 2018
Published in: Results in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1708.09715
Integral methods for summability (40C10) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20)
Related Items (3)
A note on the order derivatives of Kelvin functions ⋮ On the representation of cylinder functions ⋮ Integral formula for the Bessel function of the first kind
Uses Software
Cites Work
- On the coefficients of Neumann series of Bessel functions
- The generalized incomplete gamma function as sum over modified Bessel functions of the first kind
- Integral representation of Kelvin functions and their derivatives with respect to the order
- Holomorphic extension associated with Fourier-Legendre expansions
- The expansion in Gegenbauer polynomials: a simple method for the fast computation of the Gegenbauer coefficients
- On integral representation of Bessel function of the first kind
- High-precision evaluation of the Bessel functions via Hadamard series
- The special functions and their approximations. Vol. I, II
- Asymptotische Eigenschaften der unvollständigen Gammafunktionen
- Sulla funzione gamma incompleta
- Connection between the harmonic analysis on the sphere and the harmonic analysis on the one-sheeted hyperboloid: an analytic continuation viewpoint - III
- Neumann series of Bessel functions
- Expansion of the Confluent Hypergeometric Function in Series of Bessel Functions
- Integral representation for Neumann series of Bessel functions
- On the Integrability of Complex Trigonometric Series
- Green’s functions for nonlinear Klein–Gordon kink perturbation theory
- Analytic approximations to Kelvin functions with applications to electromagnetics
- A Neumann series of Bessel functions representation for solutions of perturbed Bessel equations
- Theory of Incomplete Cylindrical Functions and their Applications
- Neumann Series of Bessel Functions
- Mathematical Analysis of Random Noise
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Integral representation for Bessel's functions of the first kind and Neumann series