FURTHER EXPANSION AND SUMMATION FORMULAS INVOLVING THE HYPERHARMONIC FUNCTION

被引：0
|
作者：
Gaboury, Sebastien [1 ]
机构：
[1] Univ Quebec Chicoutimi, Dept Math & Comp Sci, Chicoutimi, PQ G7H 2B1, Canada
来源：
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY | 2014年 / 29卷 / 02期
关键词：
fractional derivatives; generalized Taylor expansion; generalized Leibniz rules; integral analogue; summation formula;
D O I：
10.4134/CKMS.2014.29.2.269
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of the paper is to present several new relationships involving the hyperharmonic function introduced by Mezo in (I. Mezo, 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.
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页码：269 / 283
页数：15
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