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).
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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Medina and Horno [11] have used an asymptotic approximation technique including a partial leading term extraction of the Bessel's function with two terms for the analysis of cylindrical and elliptical microstrip.
where [[delta].sub.n] = [[alpha].sub.n] [w/2] and [J.sub.n](z) is the nth order Bessel's function. Further, using the Galerkin method, followed by the Parseval's theorem and the fact that the product of the tangential field component and the surface current is always zero on the line, we obtain the following matrix equation:
where [j'.sub.v] is the first positive zero of the derivative [J'.sub.v] of Bessel's function [J.sub.v].
Clearly, we will need some properties of Bessel's functions. As is known (see E.
Solutions to velocity and shear stress are expressed with Bessel's functions. Pralhad and Schultz [10] used the couple-stress fluid model for the study of the steady flow of blood through stenosed artery.
The results are obtained in series form in term of Bessel's functions and illustrated graphically.