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Summation formula involving harmonic numbers

Published:2011-03 Issue:1 Volume:37 Page:51-64
ISSN:0133-3852
Container-title:Analysis Mathematica
language:en
Short-container-title:Anal Math

Author:

Sofo Anthony

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s10476-011-0103-2.pdf

Reference17 articles.

1. G. Almkvist, C. Krattenthaler, and J. Petersson, Some new formulas for π, Experiment. Math., 12(2003), 441–456.

2. H. Alzer and S. Koumandos, Series representations for γ and other mathematical constants, Analysis Math., 34(2008), 1–8.

3. H. Alzer, D. Karaannakis, and H. M. Srivastava, Series representations of some mathematical constants, J. Math. Anal. Appl., 320(2006), 145–162.

4. A. Basu, A new method in the study of Euler sums, Ramanujan J., 16(2008), 7–24.

5. D. Borwein, J. Borwein, and R. Girgensohn, Explicit evaluation of Euler sums, Proc. Edinburgh Math. Soc., 38(2)(1995), 277–294.

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1. Euler sums of generalized harmonic numbers and connected extensions;Applicable Analysis and Discrete Mathematics;2022

2. On Evaluations of Euler-Type Sums of Hyperharmonic Numbers;Bulletin of the Malaysian Mathematical Sciences Society;2021-09-02

3. Parametric binomial sums involving harmonic numbers;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2021-03-26

4. Integrals of inverse trigonometric and polylogarithmic functions;The Ramanujan Journal;2020-09-18

5. Evaluations of sums involving harmonic numbers and binomial coefficients;Journal of Difference Equations and Applications;2019-07-03

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