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