General convolution identities for Apostol-Bernoulli, Euler and Genocchi polynomials
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Authors
Yuan He
- Faculty of Science, Kunming University of Science and Technology, 650500 Kunming, Yunnan, P. R. China.
Taekyun Kim
- Department of Mathematics, Kwangwoon University, Seoul 139-701, Korea.
Abstract
We perform a further investigation for the Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials. By making use of the generating function methods and summation transform techniques, we establish some general convolution identities for the Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi
polynomials. These results are the corresponding extensions of some known formulas including the general
convolution identities discovered by Dilcher and Vignat [K. Dilcher, C. Vignat, J. Math. Anal. Appl., 435
(2016), 1478-1498] on the classical Bernoulli and Euler polynomials.
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ISRP Style
Yuan He, Taekyun Kim, General convolution identities for Apostol-Bernoulli, Euler and Genocchi polynomials, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 6, 4780--4797
AMA Style
He Yuan, Kim Taekyun, General convolution identities for Apostol-Bernoulli, Euler and Genocchi polynomials. J. Nonlinear Sci. Appl. (2016); 9(6):4780--4797
Chicago/Turabian Style
He, Yuan, Kim, Taekyun. "General convolution identities for Apostol-Bernoulli, Euler and Genocchi polynomials." Journal of Nonlinear Sciences and Applications, 9, no. 6 (2016): 4780--4797
Keywords
- Apostol-Bernoulli polynomials and numbers
- Apostol-Euler polynomials and numbers
- Apostol-Genocchi polynomials and numbers
- combinatorial identities.
MSC
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