◀ ▲ ▶Branches / Combinatorics / Corollary: Reciprocity Law of Falling And Rising Factorial Powers
Corollary: Reciprocity Law of Falling And Rising Factorial Powers
(related to Definition: Falling And Rising Factorial Powers)
Between the falling and rising factorial powers of a real (or complex) number \(x\) and its additive inverse \(-x\), the following reciprocity law holds:
\[(-x)^{\underline k}=(-1)^k x^{\overline k}.\]
Table of Contents
Proofs: 1
Mentioned in:
Proofs: 1
Thank you to the contributors under CC BY-SA 4.0! 
- Github:
-
References
Bibliography
- Aigner, Martin: "Diskrete Mathematik", vieweg studium, 1993
