Zobrazeno 1 - 10
of 40
pro vyhledávání: '"sum of the series"'
Autor:
Shelby Kilmer, Songfeng Zheng
Publikováno v:
AIMS Mathematics, Vol 6, Iss 12, Pp 13480-13487 (2021)
This paper introduces a generalization of the alternating harmonic series, expresses the sum in two closed forms, and examines the relationship between these sums and the harmonic numbers.
Externí odkaz:
https://doaj.org/article/0d56fc61c8974ff0a3bc80d10984f2b8
Autor:
Radovan Potůček
Publikováno v:
Mathematics in Education, Research and Applications, Vol 6, Iss 1, Pp 10-17 (2020)
This paper deals with the sum of a special telescoping series and is a free follow-up to author’s preceding paper. The terms of this series are reciprocals of the cubic polynomial with three different negative integer roots. The main result of the
Externí odkaz:
https://doaj.org/article/4bda0af27f3e453cb931627e0aec2315
Autor:
Radovan Potůček
Publikováno v:
Mathematics in Education, Research and Applications, Vol 5, Iss 1, Pp 9-15 (2019)
This contribution is a follow-up to author’s previous published papers and deals with the sum of the series of reciprocals of the cubic polynomials with one zero and double non-zero integer root. We derive the formula for the sum of these series an
Externí odkaz:
https://doaj.org/article/93b30c9814f24672b7fa087649c673da
Autor:
Radovan Potucek
Publikováno v:
Ratio Mathematica, Vol 35, Iss 0, Pp 75-85 (2018)
This contribution is a follow-up to author’s papers [1], [2], [3], [4], [5], [6], [7], and in particular [8] dealing with the sums of the series of reciprocals of quadratic polynomials with different positive integer roots, with double non-positive
Externí odkaz:
https://doaj.org/article/9bb46df4f45f4f279efccf56e303622e
Desenvolvemos uma estratégia natural e acessível aos estudantes do Ensino Médio para o cálculo de áreas planas sem as ferramentas mais avançadas do Cálculo Diferencial e Integral.
We developed a natural strategy, achievable by high school
We developed a natural strategy, achievable by high school
Autor:
Songfeng Zheng, Shelby Kilmer
Publikováno v:
AIMS Mathematics, Vol 6, Iss 12, Pp 13480-13487 (2021)
This paper introduces a generalization of the alternating harmonic series, expresses the sum in two closed forms, and examines the relationship between these sums and the harmonic numbers.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ad2a66f62693950d5bcd75746cb68c44
https://www.aimspress.com/article/doi/10.3934/math.2021781?viewType=HTML
https://www.aimspress.com/article/doi/10.3934/math.2021781?viewType=HTML
Akademický článek
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Autor:
Feng Qi, Bai-Ni Guo
Publikováno v:
Mathematics, Vol 5, Iss 3, p 40 (2017)
In the paper, the authors survey integral representations of the Catalan numbers and the Catalan–Qi function, discuss equivalent relations between these integral representations, supply alternative and new proofs of several integral representations
Externí odkaz:
https://doaj.org/article/7e1f2696562e43c8aaa1560d51f984e0
Autor:
Barndorff-Nielsen, O.
Publikováno v:
Journal of the Royal Statistical Society. Series B (Methodological), 1976 Jan 01. 38(1), 37-44.
Externí odkaz:
https://www.jstor.org/stable/2984826