کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
470637 698543 2011 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Unified Apostol–Bernoulli, Euler and Genocchi polynomials
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
Unified Apostol–Bernoulli, Euler and Genocchi polynomials
چکیده انگلیسی

In this paper, we present a unified family of polynomials including not only the Apostol–Bernoulli, Euler and Genocchi polynomials, but also a general family of polynomials suggested by Özden et al. [H. Ozden, Y. Simsek, H.M. Srivastava, A unified presentation of the generating functions of the generalized Bernoulli, Euler and Genocchi polynomials. Comput. Math. Appl. 60 (10) (2010) 2779–2787]. We obtain the explicit representation of this unified family, in terms of a Gaussian hypergeometric function. Some symmetry identities and multiplication formula are also given.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 62, Issue 6, September 2011, Pages 2452–2462
نویسندگان
,