In
mathematics, the Rothe–Hagen identity is a
mathematical identity valid for all
complex number
In mathematics, a complex number is an element of a number system that extends the real numbers with a specific element denoted , called the imaginary unit and satisfying the equation i^= -1; every complex number can be expressed in the for ...
s (
) except where its denominators
vanish:
:
It is a generalization of
Vandermonde's identity, and is named after
Heinrich August Rothe and
Johann Georg Hagen.
References
*.
*. See especially pp. 89–91.
*. As cited by .
*.
*. As cited by .
Factorial and binomial topics
Mathematical identities
Complex analysis
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