generating function in a sentence

Examples

1. These latter names come from the study of the generating function for the sequence.
2. This umbral exponential thus amounts to the exponential generating function of the Pochhammer symbols.
3. The sum of this infinite series is the generating function.
4. In your case, using generating functions seems a reasonable way for treating the sums.
5. and is clearly very closely related to the cumulant generating function for the energy.
6. Clearly the orbits do not intersect and we may add the respective generating functions.
7. So, let's try to find the solution using generating functions.
8. Since the generating function for a ^ n is
9. Similar asymptotic analysis is possible for exponential generating functions.
10. Expressions for the ordinary generating function of other sequences are easily derived from this one.