Let $f(z)$ be a real entire function of the form
$f(z) = a_1 z + a_2 z^2 + ...$
such that $0 < a_{n+1} < a_n$.
Consider $g(x) = f^{-1}(f(x)-f(x-1))$ where $x$ is a positive real and $f^{-1}$ is the functional inverse of $f$.
I know $f(x)$ and $f^{-1}(x)$ can be given by a contour integral.
C...
Vorpal sword is a phrase used by Lewis Carroll in his nonsense poem "Jabberwocky".
== Context and definition ==
Carroll published Through the Looking-Glass in 1871. Near the beginning, Alice discovers and reads "Jabberwocky". The word "vorpal" appears twice in the poem, which describes a young boy's quest to slay a monster called the Jabberwock:
He took his vorpal sword in hand:
And later,
One, two! One, two! And through and through
The vorpal blade went snicker-snack!
He left it dead, and with its head
He went galumphing back.
As with much of the rest of the poem's vocabulary, the reader is left...
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