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Results tagged with special-functions
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user 507365
Many special functions appear as solutions of differential equations or integrals of elementary functions. Most special functions have relationships with representation theory of Lie groups.
5
votes
Is there a specific named function that is the inverse of $x+x^a$ for $x$ real?
The answer is yes indeed. It is a special case of $\DeclareMathOperator{\brn}{brn}\brn$ function.
$$
R=\frac{x^B-1}{x^N}=f_{B,N}(x)
$$
$$
x=\operatorname{arc}f_{B,N}(R)=\brn_{B,N}(R)
$$
$$
\brn_{B,N}( …
- 55