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Abstrakty
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.
Wydawca
Czasopismo
Rocznik
Tom
Strony
1--7
Opis fizyczny
Bibliogr. 5 poz.
Twórcy
autor
- Department of Mathematics, Kwangwoon University, Seoul 139-701, Republic of Korea
autor
- Department of Mathematics, Sogang University, Seoul 121-742, Republic of Korea
autor
- Department of Mathematics, Kwangwoon University, Seoul 139-701, Republic of Korea
autor
- Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Republic of Korea
Bibliografia
- [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.
Uwagi
PL
Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).
Typ dokumentu
Bibliografia
Identyfikator YADDA
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