کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4594999 1335793 2008 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Sums of products of Kronecker's double series
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Sums of products of Kronecker's double series
چکیده انگلیسی

Closed expressions are obtained for sums of products of Kronecker's double series of the form , where the summation ranges over all nonnegative integers j1,…,jN with j1+⋯+jN=n. Corresponding results are derived for functions which are an elliptic analogue of the periodic Euler polynomials. As corollaries, we reproduce the formulas for sums of products of Bernoulli numbers, Bernoulli polynomials, Euler numbers, and Euler polynomials, which were given by K. Dilcher.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Number Theory - Volume 128, Issue 4, April 2008, Pages 820-834