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A note on type 2 q-Bernoulli and type 2 q-Euler polynomials

Autor: Dae San Kim, Taekyun Kim, Han Young Kim, Jongkyum Kwon

Publikováno v: Journal of Inequalities and Applications, Vol 2019, Iss 1, Pp 1-10 (2019)

Abstract As is well known, power sums of consecutive nonnegative integers can be expressed in terms of Bernoulli polynomials. Also, it is well known that alternating power sums of consecutive nonnegative integers can be represented by Euler polynomia

Externí odkaz: https://doaj.org/article/10bc502513d242bcb5cf8e3cfe328019

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On Chebyshev polynomials and their applications

Autor: Xingxing Lv, Shimeng Shen

Publikováno v: Advances in Difference Equations, Vol 2017, Iss 1, Pp 1-6 (2017)

Abstract The main purpose of this paper is, using some properties of the Chebyshev polynomials, to study the power sum problems for the sinx and cosx functions and to obtain some interesting computational formulas.

Externí odkaz: https://doaj.org/article/12ab1310dc3449fc8121695d203aeb58

Application of Newton Identities in Solving Selective Harmonic Elimination Problem With Algebraic Algorithms

Autor: Chenxu Wang, Qi Zhang, Dunzhi Chen, Zhaoyuan Li, Wensheng Yu, Kehu Yang

Publikováno v: Wang, C, Zhang, Q, Chen, D, Li, Z, Yu, W & Yang, K 2022, ' Application of Newton Identities in Solving Selective Harmonic Elimination Problem With Algebraic Algorithms ', IEEE Journal of Emerging and Selected Topics in Industrial Electronics, vol. 10, no. 5, 9807314, pp. 5870-5881 . https://doi.org/10.1109/JESTPE.2022.3186488

Algebraic algorithms are powerful methods in solving the selective harmonic elimination (SHE) problem, which can find all exact solutions without the requirements of choosing initial values. However, the huge computational burden and long solving tim

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c937414bf5ca17d4248ba082ac7a0d46
https://doi.org/10.1109/jestpe.2022.3186488