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Approximation of Analytic Functions by Bessel's Functions of Fractional Order
- Authors
- Jung, Soon-Mo
- Issue Date
- Jul-2011
- Publisher
- HINDAWI LTD
- Citation
- ABSTRACT AND APPLIED ANALYSIS, v.2011, pp.1 - 13
- Journal Title
- ABSTRACT AND APPLIED ANALYSIS
- Volume
- 2011
- Start Page
- 1
- End Page
- 13
- ISSN
- 1085-3375
- Abstract
- We will solve the inhomogeneous Bessel's differential equation x(2)y ''(x) + xy'(x) + (x(2) - v(2))y(x) = Sigma(infinity)(m=0) a(m)X(m), where v is a positive nonintegral number and apply this result for approximating analytic functions of a special type by the Bessel functions of fractional order.
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