The Haruki-Rassias and related integral representations of the Bernoulli and Euler polynomials |
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Authors: | Djurdje Cvijovi? |
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Affiliation: | Atomic Physics Laboratory, Vin?a Institute of Nuclear Sciences, P.O. Box 522, 11001 Belgrade, Serbia |
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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. |
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Keywords: | Bernoulli polynomials Euler polynomials Integral representations |
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