Generating Function
A Power Series
whose Coefficients give the Sequence
, 
, ...
. The Mathematica
(Wolfram Research, Champaign, IL) function DiscreteMath`RSolve`PowerSumgives the generating function of a given expression, and ExponentialPowerSum gives the exponential generating function.Generating functions for the first few powers are
See also Moment-Generating Function, Recurrence Relation
References
Wilf, H. S. Generatingfunctionology, 2nd ed. New York: Academic Press, 1990.
- Frontier
- Frullani's Integral
- Frustum
- Fréchet Bounds
- Fréchet Derivative
- Fréchet Space
- Fubini Principle
- Fuchsian System
- Fuchs's Theorem
- Fuhrmann Circle
- Fuhrmann's Theorem
- Fuhrmann Triangle
- Fuller Dome
- Full Reptend Prime
- Full Width at Half Maximum
- Function
- Functional
- Functional Analysis
- Functional Calculus
- Functional Derivative
- Function Field
- Function Space
- Functor
- Fundamental Class
- Fundamental Continuity Theorem