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

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dc.creatorWoon, S. C.
dc.date1998-12-26
dc.date.accessioned2026-07-07T05:27:22Z
dc.date.available2026-07-07T05:27:22Z
dc.descriptionThe 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.
dc.description14 pages, 2figures, LaTeX, \usepackage[dvips]
dc.identifierhttps://arxiv.org/abs/math/9812147
dc.identifierhttp://arxiv.org/abs/math/9812147
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77895
dc.subjectClassical Analysis and ODEs
dc.subjectNumber Theory
dc.subject28A25; 11M06; 26A33
dc.titleA New Proof of a Theorem in Analysis by Generating Integrals and Fractional Calculus
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