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Summation Formulas Involving Binomial Coefficients, Harmonic Numbers, and Generalized Harmonic Numbers
Author
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-21
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
A variety of identities involving harmonic numbers and generalized harmonic numbers have been investigated since the distant past and involved in a wide range of diverse fields such as analysis of algorithms in computer science, various branches of number theory, elementary particle physics, and theoretical physics.
Here we show how one can obtain further interesting and (almost) serendipitous identities about certain finite or infinite series involving binomial coefficients, harmonic numbers, and generalized harmonic numbers by simply applying the usual differential operator to well-known Gauss’s summation formula for 2F1(1).
American Psychological Association (APA)
Choi, Junesang. 2014. Summation Formulas Involving Binomial Coefficients, Harmonic Numbers, and Generalized Harmonic Numbers. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1014110
Modern Language Association (MLA)
Choi, Junesang. Summation Formulas Involving Binomial Coefficients, Harmonic Numbers, and Generalized Harmonic Numbers. Abstract and Applied Analysis No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-1014110
American Medical Association (AMA)
Choi, Junesang. Summation Formulas Involving Binomial Coefficients, Harmonic Numbers, and Generalized Harmonic Numbers. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1014110
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014110