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Fourier-Bessel Expansions with Arbitrary Radial Boundaries

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DOI: 10.4236/am.2010.11003    8,737 Downloads   15,140 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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The authors declare no conflicts of interest.

Cite this paper

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.


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