کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4647304 | 1342340 | 2015 | 19 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Generating functions from the viewpoint of Rota–Baxter algebras
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Generating functions from the viewpoint of Rota–Baxter algebras Generating functions from the viewpoint of Rota–Baxter algebras](/preview/png/4647304.png)
چکیده انگلیسی
We study generating functions in the context of Rota–Baxter algebras. We show that exponential generating functions can be naturally viewed as a very special case of complete free commutative Rota–Baxter algebras. This viewpoint allows us to apply free Rota–Baxter algebras to give a large class of algebraic structures in which generalizations of generating functions can be studied. We generalize the product formula and composition formula for exponential power series. We also give generating functions both for known number families such as Stirling numbers of the second kind and partition numbers, and for new number families such as those from not necessarily disjoint partitions and partitions of multisets.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Discrete Mathematics - Volume 338, Issue 4, 6 April 2015, Pages 536–554
Journal: Discrete Mathematics - Volume 338, Issue 4, 6 April 2015, Pages 536–554
نویسندگان
Nancy S.S. Gu, Li Guo,