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FactorialPower

FactorialPower[x, n]
gives the factorial power

.

FactorialPower[x, n, h]
gives the step-h factorial power

.

MORE INFORMATION

Mathematical function, suitable for both symbolic and numeric manipulation.

For integer n, is given by , and is given by .

is given for any n by .

FactorialPower is to Sum and DifferenceDelta what Power is to Integrate and D.

FactorialPower[x, n] evaluates automatically only when x and n are numbers.

FunctionExpand always converts FactorialPower to a polynomial or combination of gamma functions.

Basic Examples (2)

Find the "factorial square" of 10:

FactorialPower does not automatically expand out:

Use FunctionExpand to do the expansion:

Generalizations & Extensions (2)

Applications (2)

Properties & Relations (5)

Possible Issues (2)

Factorial Gamma Pochhammer Binomial Power Sum DifferenceDelta DiscreteRatio InterpolatingPolynomial

Combinatorial Functions

Discrete Calculus

Gamma Functions and Related Functions

Recurrence and Sum Functions

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