FURTHER EXPANSION AND SUMMATION FORMULAS INVOLVING THE HYPERHARMONIC FUNCTION

Title & Authors
FURTHER EXPANSION AND SUMMATION FORMULAS INVOLVING THE HYPERHARMONIC FUNCTION
Gaboury, Sebastien;

Abstract
The aim of the paper is to present several new relationships involving the hyperharmonic function introduced by Mez$\small{\ddot{o}}$ in (I. Mez$\small{\ddot{o}}$, Analytic extension of hyperharmonic numbers, Online J. Anal. Comb. 4, 2009) which is an analytic extension of the hyperharmonic numbers. These relations are obtained by using some fractional calculus theorems as Leibniz rules and Taylor like series expansions.
Keywords
fractional derivatives;generalized Taylor expansion;generalized Leibniz rules;integral analogue;summation formula;
Language
English
Cited by
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