Binomial sums involving harmonic numbers

被引：22

作者：

Gencev, Marian ^{[1
]}

机构：

[1] Tech Univ Ostrava, Dept Math Methods Econ, CZ-70121 Ostrava 1, Czech Republic

来源：

MATHEMATICA SLOVACA | 2011年 / 61卷 / 02期

关键词：

summation methods; infinite series; generalized harmonic numbers; IRRATIONALITY; CANTOR; FORMULAS;

D O I：

10.2478/s12175-011-0006-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper develops the approach to the evaluation of a class of infinite series that involve special products of binomial type, generalized harmonic numbers of order 1 and rational functions. We give new summation results for certain infinite series of non-hypergeometric type. New formulas for the number pi are included.

引用

页码：215 / 226

页数：12

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