ordinary generating function

ordinary generating function

[‚ȯrd·ən‚er·ē ′jēn·ə‚rād·iŋ ‚fəŋk·shən]
(mathematics)
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Moreover, the ordinary generating function of these partitions is given by
5 The ordinary generating function for the reduced permutations of genus 1, counting the number of points and cycles, is given by:
More precisely, for j = 0, 1, 2, the ordinary generating function for the reduced permutations of genus 1 with j back points, counting the number of points and cycles, is given by:
Thus the radius of convergence of the ordinary generating function of K is [[rho].
Let K be an adequate class with unlabelled count functions and ordinary generating functions as described above.
We show that the ordinary generating function for unlabelled (3 + 1)-free posets is
4] + *** is the ordinary generating function for unlabelled bicoloured graphs.
Let S (c, t) [member of] Q[[c, t]] be the ordinary generating function for skeleta with respect to the number of clone sets and the number of tangles, that is, the formal power series
The transfer matrix approach Marberg used to establish the rationality of the ordinary generating function, [[summation].
j,k,r] from the zero matrix to itself, the method of transfer matrix gives a quotient of two polynomials (determinants actually), thus concluding that the ordinary generating function [[summation].
It is enough to find the ordinary generating function.
In Section 3, we describe the transformation T that turns certain ordinary generating functions into Laguerre series.