کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8899917 1631552 2018 24 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Alternating double Euler sums, hypergeometric identities and a theorem of Zagier
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Alternating double Euler sums, hypergeometric identities and a theorem of Zagier
چکیده انگلیسی
In this work, we derive relations between generating functions of double stuffle relations and double shuffle relations to express the alternating double Euler sums ζ(r‾,s), ζ(r,s‾) and ζ(r‾,s‾) with r+s odd in terms of zeta values. We also give a direct proof of a hypergeometric identity which is a limiting case of a basic hypergeometric identity of Andrews. Finally, we gave another proof for the formula of Zagier on the multiple zeta values ζ(2,…,2,3,2,…,2).
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 462, Issue 1, 1 June 2018, Pages 777-800
نویسندگان
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