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RETRACTED ARTICLE: Approximation of analytic functions by bessel functions of fractional order

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Ukrainian Mathematical Journal Aims and scope

This article was retracted on 01 July 2020

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We solve the inhomogeneous Bessel differential equation

$$ {x^2}y''(x) + xy'(x) + \left( {{x^2} - {\nu^2}} \right)y(x) = \sum\limits_{m = 0}^\infty {{a_m}{x^m},} $$

where ν 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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  • 30 September 2020

    This article has been retracted. Please see the Retraction Notice for more detail: https://doi.org/10.1007/s11253-020-01784-z.

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Authors and Affiliations

  1. College of Science and Technology, Hongik University, Jochiwon, Korea

    S.-M. Jung

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  1. S.-M. Jung
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 63, No. 12, pp. 1699–1709, December, 2011.

This article has been retracted. Please see the retraction notice for more detail:https://doi.org/10.1007/s11253-020-01784-z"

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Jung, SM. RETRACTED ARTICLE: Approximation of analytic functions by bessel functions of fractional order. Ukr Math J 63, 1933–1944 (2012). https://doi.org/10.1007/s11253-012-0622-4

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  • DOI: https://doi.org/10.1007/s11253-012-0622-4

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