Published March 2018 | Version v1
Journal article Metadata-only

Infinite Series Containing Generalized Harmonic Numbers

Creators

  • 1. Dalian Jiaotong University, School of Science (China)

Description

Applying the modified Abel lemma on summation by parts, we examine infinite series containing generalized harmonic numbers of order 2 and 3. Several interesting results mainly for π2 and ζ(3) are established as consequences.

Additional details

Identifiers

DOI
10.1007/s00025-018-0774-0;

Publishing Information

Journal Title
Results in Mathematics
Journal Volume
73
Journal Issue
1
Journal Page Range
p. 1-14
ISSN
1422-6383

INIS

Country of Publication
Switzerland
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
50026040
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
HARMONICS; NUMERICAL ANALYSIS; SERIES EXPANSION
Descriptors DEC
MATHEMATICS; OSCILLATIONS

Optional Information

Copyright
Copyright (c) 2018 Springer International Publishing AG, part of Springer Nature