کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4593486 1630657 2015 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On p-Bernoulli numbers and polynomials
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
On p-Bernoulli numbers and polynomials
چکیده انگلیسی

In this paper we define a new family of p-Bernoulli numbers, which are derived from the Gaussian hypergeometric function, and we establish some basic properties. Based on a three-term recurrence relation, an algorithm for computing Bernoulli numbers is given. A similar algorithm for Bernoulli polynomials is also presented. We show that the p-Bernoulli numbers are related to the certain regular values of the Euler–Zagier's multiple zeta function at non-positive integers of depth p. Finally, a generalization and some applications on m-Fubini numbers are given.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Number Theory - Volume 157, December 2015, Pages 350–366
نویسندگان
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