Bessel function

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Bessel function

[′bes·əl ‚fəŋk·shən]
(mathematics)
A solution of the Bessel equation. Also known as cylindrical function. Symbolized Jn (z).
References in periodicals archive ?
The solution of equation (1) has been presented in [1] based on modified Bessel function.
O] is a modified Bessel function of first kind and zero order and [K.
As a general example, modified expansions for confluent hypergeometric functions are considered in Section 3, and as particular cases expansions for the incomplete gamma function [GAMMA](a, z) and the modified Bessel function [K.
v] (x) is the modified Bessel function of the second kind (also called MacDonald function).
This edition, revised from the 2009 seventh, includes eight new projects, updated exercise sets, additional examples and figures, a simplified account of linear first-order differential equations, new sections on Green's function and the review of power series, and several boundary-value problems involving modified Bessel functions.
10), which involves the modified Bessel functions [I.
This edition has a new section on Green's functions for linear ordinary differential equations; expanded information on modified Bessel functions and problems in cylindrical coordinates; rewritten sections on dot and cross products and independence of path; new problems; and nine new projects.
Since the modified Bessel functions are exponentially suppressed at infinity, the only contribution comes from the lower limit
Appendixes cover topics that are not standard parts of an average science of engineering undergraduate curriculum: Green's functions, real spherical harmonics, spherical modified Bessel functions, plane groups and invariant functions, and elementary elasticity theory.

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