کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4650060 1342473 2009 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On a pp-adic interpolation function for the qq-extension of the generalized Bernoulli polynomials and its derivative
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
On a pp-adic interpolation function for the qq-extension of the generalized Bernoulli polynomials and its derivative
چکیده انگلیسی

In [T. Kim, S.H. Rim, Generalized Carlitz’s qq-Bernoulli numbers in the pp-adic number field, Adv. Stud. Contemp. Math. 2 (2000) 9–19], the new qq-extension of Bernoulli polynomials and generalized Bernoulli numbers attached to χχ were constructed by using pp-adic invariant integral on ZpZp. In this paper we construct the new qq-extension of generalized Bernoulli polynomials attached to χχ due to author and derive the existence of a specific pp-adic interpolation function which interpolates the qq-extension of generalized Bernoulli polynomials at negative integers. Finally, we give the values of partial derivative for this function and investigate some properties which are related to this interpolation function.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Discrete Mathematics - Volume 309, Issue 6, 6 April 2009, Pages 1593–1602
نویسندگان
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