کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
11012916 1797859 2019 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A probabilistic generalization of the Stirling numbers of the second kind
ترجمه فارسی عنوان
یک تعمیم احتمالاتی از اعداد استرلینگ نوع دوم
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
چکیده انگلیسی
Associated to each random variable Y satisfying appropriate moment conditions, we introduce a different generalization of the Stirling numbers of the second kind. Some characterizations and specific examples of such generalized numbers are provided. As far as their applications are concerned, attention is focused in extending in various ways the classical formula for sums of powers on arithmetic progressions. Illustrations involving rising factorials, Bell polynomials, polylogarithms, and a certain class of Appell polynomials, in connection with appropriate random variables Y in each case, are discussed in detail.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Number Theory - Volume 194, January 2019, Pages 335-355
نویسندگان
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