Abstract
A necessary and sufficient condition is given for holomorphic functions to be represented by series of the kind
where J 0(z) is the Bessel function of first kind with zero index. To derive the result, we use an Erdélyi-Kober operator of fractional order.
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Dedicated to Professor Francesco Mainardi on the occasion of his 70th anniversary
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Rusev, P. Representation of holomorphic functions by schlömilch’s series. fcaa 16, 431–435 (2013). https://doi.org/10.2478/s13540-013-0026-7
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DOI: https://doi.org/10.2478/s13540-013-0026-7