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

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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.
14 pages, 2figures, LaTeX, \usepackage[dvips]

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Classical Analysis and ODEs, Number Theory, 28A25; 11M06; 26A33

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http://salesiana.dossiersoluciones.com/handle/123456789/77895

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9812147
 http://arxiv.org/abs/math/9812147

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arXiv