RIEMANN-LIOUVILLE FRACTIONAL DERIVATIVES AND THE TAYLOR-RIEMANN SERIES
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citeseer
(0) (0 Votes)Views: (1008) Date: (13-05-09) Pages: () -
Author: by Joakim Munkhammar J. D. Munkhammar
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Abstract: ABSTRACT. In this paper we give some background theory on the concept of fractional calculus, in particular the Riemann-Liouville operators. We then investigate the Taylor-Riemann series using Osler?s theorem and obtain certain double infinite series expansions of some elementary functions. In the process of this we give a proof of the convergence of an alternative form of Heaviside?s series. A Semi-Taylor series is introduced as the special case of the Taylor-Riemann series when ??????? ? , and some of its relations to special functions are obtained via certain generating functions arising in complex fractional calculus. 1.
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