Series transformation formulas of Euler type, Hadamard product of series, and harmonic number identities

Khristo N. Boyadzhiev ()
Additional contact information
Khristo N. Boyadzhiev: Ohio Northern University

Indian Journal of Pure and Applied Mathematics, 2011, vol. 42, issue 5, 371-386

Abstract: Abstract The Hadamard multiplication theorem for series is used to establish several Euler-type series transformation formulas. As applications we obtain a number of binomial identities involving harmonic numbers and an identity for the Laguerre polynomials. We also evaluate in a closed form certain power series with harmonic numbers.

Keywords: Harmonic number; Stirling number; binomial transform; binomial identity; Euler transform; Hadamard theorem for series; Laguerre polynomial (search for similar items in EconPapers)
Date: 2011
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s13226-011-0024-6 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:indpam:v:42:y:2011:i:5:d:10.1007_s13226-011-0024-6

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/13226

DOI: 10.1007/s13226-011-0024-6

Access Statistics for this article

Indian Journal of Pure and Applied Mathematics is currently edited by Nidhi Chandhoke

More articles in Indian Journal of Pure and Applied Mathematics from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().