کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9502998 1339551 2005 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Some generalizations of the Apostol-Bernoulli and Apostol-Euler polynomials
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Some generalizations of the Apostol-Bernoulli and Apostol-Euler polynomials
چکیده انگلیسی
The main object of this paper is to give analogous definitions of Apostol type (see [T.M. Apostol, On the Lerch Zeta function, Pacific J. Math. 1 (1951) 161-167] and [H.M. Srivastava, Some formulas for the Bernoulli and Euler polynomials at rational arguments, Math. Proc. Cambridge Philos. Soc. 129 (2000) 77-84]) for the so-called Apostol-Bernoulli numbers and polynomials of higher order. We establish their elementary properties, derive several explicit representations for them in terms of the Gaussian hypergeometric function and the Hurwitz (or generalized) Zeta function, and deduce their special cases and applications which are shown here to lead to the corresponding results for the classical Bernoulli numbers and polynomials of higher order.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 308, Issue 1, 1 August 2005, Pages 290-302
نویسندگان
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