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A New Proof of a Theorem in Analysis by Generating Integrals and Fractional Calculus

S. C. Woon
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Abstract

The idea of generating integrals analogous to generating functions is first introduced in this paper. A new proof of the well-known Finite Harmonic Series Theorem in Analysis and Analytical Number Theory is then obtained by the method of Generating Integrals and Fractional Calculus. A generalization of the Riemann zeta function up to non-integer order is derived.

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BibTeXRIS

S. C. Woon. 1998-12-26. A New Proof of a Theorem in Analysis by Generating Integrals and Fractional Calculus. https://arxiv.org/abs/math/9812147

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