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Generating functions of the unified representation of the Bernoulli, Euler and Genocchi polynomials of higher order

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Akademik Birimler

Kurum Yazarları

Özden, Hacer

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Simos, ‪Theodore E.

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American Institute of Physics

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The aim of this paper is to define the generating functions of the Bernoulli, Euler and Genocchi polynomials of higher order. By using these generating functions, we derive some identities and relations on these polynomials. Our results generalize the classical Bernoulli, Euler, Genocchi polynomials and also Apostol-Bernoulli, Apostol-Euler and Apostol Genocchi polynomials.

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Mathematics, Bernoulli numbers of higher order, Bernoulli polynomials of higher order, Euler numbers of higher order, Euler polynomials of higher order, Genocchi numbers of higher order, Genocchi polynomials of higher order, Apostol-bernoulli, Numbers, Zeta, Identities, Extension

Alıntı

Özden, H. (2011). ''Generating functions of the unified representation of the Bernoulli, Euler and Genocchi polynomials of higher order''. ed. T. E. Simos. Numerical Analysis and Applied Mathematics Icnaam 2011: International Conference on Numerical Analysis and Applied Mathematics, 1389, 349-352.

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