کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4649329 | 1342450 | 2009 | 18 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Limits of areas under lattice paths
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Limits of areas under lattice paths Limits of areas under lattice paths](/preview/png/4649329.png)
چکیده انگلیسی
We consider sequences of polynomials which count lattice paths by area. In some cases the reversed polynomials approach a formal power series as the length of the paths tend to infinity. We find the limiting series for generalized Schröder, Motzkin, and Catalan paths. The limiting series for Schröder paths and their generalizations are shown to count partitions with restrictions on the multiplicities of odd parts and no restrictions on even parts. The limiting series for generalized Motzkin and Catalan paths are shown to count generalized Frobenius partitions and some related arrays.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Discrete Mathematics - Volume 309, Issue 12, 28 June 2009, Pages 3936–3953
Journal: Discrete Mathematics - Volume 309, Issue 12, 28 June 2009, Pages 3936–3953
نویسندگان
Brian Drake,