Fourier-Bessel Expansions with Arbitrary Radial Boundaries
Muhammad A. Mushref
P. O. Box 9772, Jeddah, Saudi Arabia.
DOI: 10.4236/am.2010.11003   PDF    HTML     10,292 Downloads   17,527 Views   Citations


Series expansion of single variable functions is represented in Fourier-Bessel form with unknown coefficients. The proposed series expansions are derived for arbitrary radial boundaries in problems of circular domain. Zeros of the generated transcendental equation and the relationship of orthogonality are employed to find the unknown coefficients. Several numerical and graphical examples are explained and discussed.

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M. Mushref, "Fourier-Bessel Expansions with Arbitrary Radial Boundaries," Applied Mathematics, Vol. 1 No. 1, 2010, pp. 18-23. doi: 10.4236/am.2010.11003.

Conflicts of Interest

The authors declare no conflicts of interest.


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