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Approximation of analytic functions by bessel's functions of fractional order
- Authors
- Jung, S. -M.
- Issue Date
- May-2012
- Publisher
- Hindawi Publishing Corporation
- Citation
- Abstract and Applied Analysis, v.63, no.12, pp.1 - 13
- Journal Title
- Abstract and Applied Analysis
- Volume
- 63
- Number
- 12
- Start Page
- 1
- End Page
- 13
- ISSN
- 1085-3375
- Abstract
- We solve the inhomogeneous Bessel differential equation x2y ''(x) + xy'(x) + (x2 - v2)y(x) = (infinity)Sigma(m=0) a(m)x(m), where v is a positive nonintegral number, and use this result for the approximation of analytic functions of a special type by the Bessel functions of fractional order.
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