کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4594994 1335793 2008 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Degenerate Bernoulli polynomials, generalized factorial sums, and their applications
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Degenerate Bernoulli polynomials, generalized factorial sums, and their applications
چکیده انگلیسی

We prove a general symmetric identity involving the degenerate Bernoulli polynomials and sums of generalized falling factorials, which unifies several known identities for Bernoulli and degenerate Bernoulli numbers and polynomials. We use this identity to describe some combinatorial relations between these polynomials and generalized factorial sums. As further applications we derive several identities, recurrences, and congruences involving the Bernoulli numbers, degenerate Bernoulli numbers, generalized factorial sums, Stirling numbers of the first kind, Bernoulli numbers of higher order, and Bernoulli numbers of the second kind.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Number Theory - Volume 128, Issue 4, April 2008, Pages 738-758