Cover Image

Integrals of products of Bessel functions for applied electrodynamic problems

We determine definite integrals of products of Bessel functions of the first and second kind of different orders with various complicated arguments with finite limits of integration.

Saved in:

Bibliographic Details
Date:	1995
Main Authors:	Pochernyaev, V. N., Почерняев, В. Н.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 1995
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/5459
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

On a class of hybrid integral transformations (Bessel-Fourier-Bessel-...-Fourier-Bessel) on the polar axis with $2n$ junction points
by: Lenyuk, M. P., et al.
Published: (1993)

Bessel $G$-Functions. I
by: Plotkin, Ya. D., et al.
Published: (2001)

Интегралы от произведений функций Бесселя для прикладных задач электродинамики
by: Почерняев, В.Н.
Published: (1995)

Generalized Bessel function of Type D
by: Demni, N.
Published: (2008)

On one generalized integral transform of the Bessel type
by: N. O. Virchenko, et al.
Published: (2014)

Some properties of the generalized Bessel integration operator
by: Yu. S. Linchuk, et al.
Published: (2018)

Calculation of Bessel functions by using continued fractions
by: Valeyev, K. G., et al.
Published: (1995)

Approximation of analytic functions by Bessel functions of fractional order
by: Jung, S.-M.
Published: (2011)

Approximation of analytic functions by Bessel functions of fractional order
by: Jung, S.-M., et al.
Published: (2011)

Radii of starlikeness and convexity of Bessel function derivatives
by: E. Deniz, et al.
Published: (2021)

Radii of starlikeness and convexity of Bessel function derivatives
by: Deniz, E., et al.
Published: (2021)

Optimal for accuracy quadrature formulas for calculating of the Bessel transformation for certain classes of sub-integral functions
by: V. K. Zadiraka, et al.
Published: (2021)

Functional iterated logarithm low for Bessel processes and for functionals on them
by: D. S. Budkov, et al.
Published: (2015)

Turán-type inequalities for generalized k-Bessel functions
by: H. M. Zayed
Published: (2024)

Turán-type inequalities for generalized k-Bessel functions
by: Zayed, Hanaa M., et al.
Published: (2024)

Problem with pulse action for systems with Bessel?Kolmogorov operators
by: Konarovska, M. I., et al.
Published: (2012)

Inverse initial-value problem in the spaces of Bessel potentials
by: Boyko, P., et al.
Published: (2026)

Development of technology and equipment for reduction of residual stresses and straightening in welded structures applying electrodynamic treatment
by: L. M. Lobanov, et al.
Published: (2017)

Hybrid finite integral transform of Fourier-Bessel-Legendre on piecewise uniform segment
by: M. P. Leniuk, et al.
Published: (2013)

On Basic Fourier-Bessel Expansions
by: Cardoso, J.L.
Published: (2018)

Solution of the Cauchy problem with values in refined spaces of Bessel potentials
by: A. O. Lopushanskyi, et al.
Published: (2015)

A Limit Relation for Dunkl-Bessel Functions of Type A and B
by: Rösler, M., et al.
Published: (2008)

On certain geometric properties and Hardy spaces of generalized Bessel–Wright function
by: Nawaz, Muhammad Umar, et al.
Published: (2026)

Bessel functions of two complex mutually conjugated variables and their application in boundary-value problems of mathematical physics
by: M. A. Sukhorolskyi
Published: (2017)

Bessel functions of two complex mutually conjugated variables and their application in boundary-value problems of mathematical physics
by: Sukhorolskyi, M. A., et al.
Published: (2017)

Hybrid integral transform (Kontorovich - Lebedev) - Furye-Bessel - Euler segment on the polar axis
by: H. I. Hotynchan, et al.
Published: (2013)

Estimation of the generalized Bessel–Struve transform in a certain space of generalized functions
by: S. K.Q. Al-Omari
Published: (2017)

Estimation of the generalized Bessel – Struve transform in a certain space of generalized functions
by: Al-Omari, S. K. Q., et al.
Published: (2017)

Nonlocal Problem Multipoint in Time for the Evolutionary Equations with Pseudo-Bessel Operators with Variable Symbols
by: Horodets’kyi, V. V., et al.
Published: (2014)

Repair welding of intermediate cases of aircraft engines of heat-resistant magnesium ML10 alloy applying electrodynamic treatment
by: L. M. Lobanov, et al.
Published: (2012)

Nonlocal Problem Multipoint in Time for the Evolutionary Equations with Pseudo-Bessel Operators with Variable Symbols
by: V. V. Horodetskyi, et al.
Published: (2014)

Decomposition of electromagnetic potentials in partial functions of dispersive electrodynamic lines
by: A. I. Bilotserkivska, et al.
Published: (2024)

Decomposition of electromagnetic potentials in partial functions of dispersive electrodynamic lines
by: A. I. Bilotserkivska, et al.
Published: (2024)

Representation of potentials from point sources for a homogeneous isotropic medium in the form of Bessel-Mellin integrals
by: Roganov, Yu., et al.
Published: (2013)

On one method for the solution of an analog of the Cauchy problem for a polycaloric equation with singular Bessel operator
by: Karimov, Sh. T., et al.
Published: (2017)

Graphene and quantum electrodynamics
by: Gusynin, V.P.
Published: (2013)

Electrodynamics in e⁻ linacs
by: Proskin, S.S., et al.
Published: (2014)

Electrodynamics of geoenvironment and methods of geoelectrics
by: Shuman, V. N.
Published: (2010)

Classical fluctuation electrodynamics
by: Sokolovsky, A.I., et al.
Published: (2005)

Generalized Bessel-Struve operator and some of its properties
by: Yu. S. Linchuk
Published: (2016)