A New Proof of a Theorem in Analysis by Generating Integrals and Fractional Calculus
Classical Analysis and ODEs
2007-05-23 v1 Number Theory
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.
Keywords
Cite
@article{arxiv.math/9812147,
title = {A New Proof of a Theorem in Analysis by Generating Integrals and Fractional Calculus},
author = {S. C. Woon},
journal= {arXiv preprint arXiv:math/9812147},
year = {2007}
}
Comments
14 pages, 2figures, LaTeX, \usepackage[dvips]