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.
- Bertrand Curves
- Bertrand's Paradox
- Bertrand's Postulate
- Bertrand's Problem
- Bertrand's Test
- Bertrand's Theorem
- Besov Space
- Bessel Differential Equation
- Bessel Function
- Bessel Function Fourier Expansion
- Bessel Function of the First Kind
- Bessel Function of the Second Kind
- Bessel Function of the Third Kind
- Bessel Polynomial
- Bessel's Correction
- Bessel's Finite Difference Formula
- Bessel's First Integral
- Bessel's Formula
- Bessel's Inequality
- Bessel's Interpolation Formula
- Bessel's Second Integral
- Bessel's Statistical Formula
- Beta
- Beta Distribution
- Beta Function