Simplified overview of certain relations among infinite series that arose in the context of fractional calculus

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2010-05-06T15:41:25Z

Authors

Srivastava, Rekha

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Abstract

An interesting infinite series relation was proven recently by applying a certain known generalization of the Riemann-Liouville and Erdélyi-Kober operators of fractional calculus. In our attempt to give a much simpler proof of this result, without using the generalized fractional calculus operator, we are led here to another class of infinite series relations. Some relevant connections with a number of known results are also indicated.

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