Some new identities on the Apostol-Bernoulli polynomials of higher order derived from Bernoulli basis
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INT SCIENTIFIC RESEARCH PUBLICATIONS
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info:eu-repo/semantics/embargoedAccess
Özet
In the present paper, we introduce a method in order to obtain some new interesting relations and identities of the Apostol-Bernoulli polynomials of higher order, which are derived from Bernoulli polynomial basis. Finally, by utilizing this method, we also get formulas for the convolutions of Bernoulli and Euler polynomials in terms of Apostol-Bernoulli polynomials of higher order. (C) 2016 All rights reserved.
Açıklama
Anahtar Kelimeler
Generating function, Bernoulli polynomials of higher order, Euler polynomials of higher order, Hermite polynomials, Apostol-Bernoulli polynomials of higher order, Apostol-Euler polynomials of higher order, identities
Kaynak
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS
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Scopus Q Değeri
Cilt
9
Sayı
5
Künye
Bagdasaryan, A., Araci, S., Acikgoz, M., & He, Y. (May 25, 2016). Some new identities on the Apostol-Bernoulli polynomials of higher order derived from Bernoulli basis. Journal of Nonlinear Sciences and Applications, 9, 5, 2697-2704.
