کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
473741 698810 2010 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A unified presentation of the generating functions of the generalized Bernoulli, Euler and Genocchi polynomials
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
A unified presentation of the generating functions of the generalized Bernoulli, Euler and Genocchi polynomials
چکیده انگلیسی

The goal of this paper is to unify and extend the generating functions of the generalized Bernoulli polynomials, the generalized Euler polynomials and the generalized Genocchi polynomials associated with the positive real parameters aa and bb and the complex parameter ββ. By using this generating function, we derive recurrence relations and other properties for these polynomials. By applying the Mellin transformation to the generating function of the unification of Bernoulli, Euler and Genocchi polynomials, we construct a unification of the zeta functions. Furthermore, we give many properties and applications involving the functions and polynomials investigated in this paper.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 60, Issue 10, November 2010, Pages 2779–2787
نویسندگان
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