Bell numbers, their relatives, and algebraic differential equations
نویسندگان
چکیده
منابع مشابه
Bell numbers, their relatives, and algebraic differential equations
We prove that the ordinary generating function of Bell numbers satisfies no algebraic differential equation over C(x) (in fact, over a larger field). We investigate related numbers counting various set partitions (the Uppuluri–Carpenter numbers, the numbers of partitions with j mod i blocks, the Bessel numbers, the numbers of connected partitions, and the numbers of crossing partitions) and pro...
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We prove that the ordinary generating function of Bell numbers satisses no algebraic diierential equation over C(x) (in fact, over a larger eld). We investigate related numbers counting various set partitions (the Uppuluri{Carpenter numbers, the numbers of partitions with j mod i blocks, the Bessel numbers, the numbers of connected partitions, and the numbers of crossing partitions) and prove f...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series A
سال: 2003
ISSN: 0097-3165
DOI: 10.1016/s0097-3165(03)00014-1