Approximation of Analytic Functions by Bessel′s Functions of Fractional Order

Soon-Mo Jung

Abstract and Applied Analysis, 2011, vol. 2011, issue 1

Abstract: We will solve the inhomogeneous Bessel′s differential equation x2y″(x)+xy′(x)+(x2-ν2)y(x)=∑m=0∞amxm, where ν is a positive nonintegral number and apply this result for approximating analytic functions of a special type by the Bessel functions of fractional order.

Date: 2011
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https://doi.org/10.1155/2011/923269

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:923269

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