On some summation formulas-Reference-Cited by-同舟云学术

On some summation formulas

Published:2022-01-01 Issue:1 Volume:55 Page:1-7
ISSN:2391-4661
Container-title:Demonstratio Mathematica
language:en
Short-container-title:

Author:

Kim Taekyun¹,Kim Dae San²,Lee Hyunseok¹,Kwon Jongkyum³

Affiliation:

1. Department of Mathematics, Kwangwoon University , Seoul 139-701 , Republic of Korea

2. Department of Mathematics, Sogang University , Seoul 121-742 , Republic of Korea

3. Department of Mathematics Education, Gyeongsang National University , Jinju 52828 , Republic of Korea

Abstract

Abstract In this note, we derive a finite summation formula and an infinite summation formula involving Harmonic numbers of order up to some order by means of several definite integrals.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/dema-2022-0003/pdf

Reference5 articles.

1. E. T. Whittaker and G. N. Watson, A course of modern analysis, an introduction to the general theory of infinite processes and of analytic functions; with an account of the principal transcendental functions, Reprint of the fourth (1927) edition, Cambridge Mathematical Library, Cambridge University Press, Cambridge, 1996.

2. G. E. Andrews, R. Askey, and R. Roy, Special functions, Encyclopedia of Mathematics and its Applications, vol. 71, Cambridge University Press, Cambridge, 1999.

3. S. Araci, M. Acikgoz, C. Özel, H. M. Srivastava, and T. Diagana, Recent trends in special numbers and special functions and polynomials, Int. J. Math. Math. Sci. 2015 (2015), 573893.

4. T. Kim and D. S. Kim, Some identities on truncated polynomials associated with degenerate Bell polynomials, Russ. J. Math. Phys. 28 (2021), no. 3, 342–355.

5. W. Magnus and F. Oberhettinger, Formulas and Theorems for the Special Functions of Mathematical Physics, Translated by John Wermer, Chelsea Publishing Company, New York, N.Y., 1949.

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