Factorial Sum
Sums with unity Numerator and Factorials in the Denominator which can be expressedanalytically include
 |  |  | (1) |
 | |  | (2) |
 | |  | (3) |
 | |  | (4) |
where
is a Hypergeometric Function and 
is a Gamma Function.Sums with 
in the Numerator having analytic solutions include
 | |  | (5) |
 | |  | (6) |
 | |  | (7) |
 | |  | (8) |
A sum with
in the Numerator is | |
 | |
 | (9) |
is the Hypergeometric Function.Sums of factorial Powers include
 | (10) |
 | (11) |
 | |  | (12) |
 | |  | (13) |
 | |  | (14) |
(Beeler et al. 1972, Item 116).
References
Beeler, M.; Gosper, R. W.; and Schroeppel, R. HAKMEM. Cambridge, MA: MIT Artificial Intelligence Laboratory, Memo AIM-239, Feb. 1972.
- Herbrand's Theorem
- Hereditary Representation
- Heredity
- Hermann Grid Illusion
- Hermann-Hering Illusion
- Hermann-Mauguin Symbol
- Hermann's Formula
- Hermite Constants
- Hermite Differential Equation
- Hermite-Gauss Quadrature
- Hermite Interpolation
- Hermite-Lindemann Theorem
- Hermite Polynomial
- Hermite Quadrature
- Hermite's Interpolating Polynomial
- Hermite's Theorem
- Hermitian Form
- Hermitian Matrix
- Hermitian Operator
- Hermit Point
- Heronian Tetrahedron
- Heronian Triangle
- Heron's Formula
- Heron Triangle
- Herschel