The Haruki-Rassias and related integral representations of the Bernoulli and Euler polynomials
Апстракт
Haruki and Rassias [H. Haruki, T.M. Rassias, New integral representations for Bernoulli and Euler polynomials, J. Math. Anal. Appl. 175 (1993) 81-90] found the integral representations of the classical Bernoulli and Euler polynomials and proved them by making use of the properties of certain functional equation. In this sequel, we rederive, in a completely different way, the results of Haruki and Rassias and deduce related and new integral representations. Our proofs are quite simple and remarkably elementary. (C) 2007 Elsevier Inc. All rights reserved.
Кључне речи:
Bernoulli polynomials / enter polynomials / integral representationsИзвор:
Journal of Mathematical Analysis and Applications, 2008, 337, 1, 169-173Финансирање / пројекти:
- Физичка хемија динамичких стања и структура неравнотежних система - од монотоне до осцилаторне еволуције и хаоса (RS-MESTD-MPN2006-2010-142025)
DOI: 10.1016/j.jmaa.2007.03.090
ISSN: 0022-247X
WoS: 000255425400015
Scopus: 2-s2.0-34548249992
Колекције
Институција/група
VinčaTY - JOUR AU - Cvijović, Đurđe PY - 2008 UR - https://vinar.vin.bg.ac.rs/handle/123456789/3436 AB - Haruki and Rassias [H. Haruki, T.M. Rassias, New integral representations for Bernoulli and Euler polynomials, J. Math. Anal. Appl. 175 (1993) 81-90] found the integral representations of the classical Bernoulli and Euler polynomials and proved them by making use of the properties of certain functional equation. In this sequel, we rederive, in a completely different way, the results of Haruki and Rassias and deduce related and new integral representations. Our proofs are quite simple and remarkably elementary. (C) 2007 Elsevier Inc. All rights reserved. T2 - Journal of Mathematical Analysis and Applications T1 - The Haruki-Rassias and related integral representations of the Bernoulli and Euler polynomials VL - 337 IS - 1 SP - 169 EP - 173 DO - 10.1016/j.jmaa.2007.03.090 ER -
@article{ author = "Cvijović, Đurđe", year = "2008", abstract = "Haruki and Rassias [H. Haruki, T.M. Rassias, New integral representations for Bernoulli and Euler polynomials, J. Math. Anal. Appl. 175 (1993) 81-90] found the integral representations of the classical Bernoulli and Euler polynomials and proved them by making use of the properties of certain functional equation. In this sequel, we rederive, in a completely different way, the results of Haruki and Rassias and deduce related and new integral representations. Our proofs are quite simple and remarkably elementary. (C) 2007 Elsevier Inc. All rights reserved.", journal = "Journal of Mathematical Analysis and Applications", title = "The Haruki-Rassias and related integral representations of the Bernoulli and Euler polynomials", volume = "337", number = "1", pages = "169-173", doi = "10.1016/j.jmaa.2007.03.090" }
Cvijović, Đ.. (2008). The Haruki-Rassias and related integral representations of the Bernoulli and Euler polynomials. in Journal of Mathematical Analysis and Applications, 337(1), 169-173. https://doi.org/10.1016/j.jmaa.2007.03.090
Cvijović Đ. The Haruki-Rassias and related integral representations of the Bernoulli and Euler polynomials. in Journal of Mathematical Analysis and Applications. 2008;337(1):169-173. doi:10.1016/j.jmaa.2007.03.090 .
Cvijović, Đurđe, "The Haruki-Rassias and related integral representations of the Bernoulli and Euler polynomials" in Journal of Mathematical Analysis and Applications, 337, no. 1 (2008):169-173, https://doi.org/10.1016/j.jmaa.2007.03.090 . .