41. The ordinary generating function for the sequences are: 42. The theorem can be given a unrestricted partition functions discusses this type of generating function .) 43. This can be approached directly or using generating functions ( formal power series ) or matrices. 44. :I got an inkling that generating functions might help solve the problem analytically in this case. 45. Manipulations of these functions are done in essentially the same way as for the exponential generating functions . 46. You can do this using generating functions . 47. The generating function for this distribution is 48. The Poincar?polynomial of a surface is defined to be the generating function of its Betti numbers. 49. A structural equation between combinatorial classes thus translates directly into an equation in the corresponding generating functions . 50. The Tweedie distribution most applicable to ecological observations is the cumulant generating function ( CGF ) is:
