If
|
(1)
|
then
|
(2)
|
is given by
|
(3)
|
where .
When applied to the generating function
|
(4)
|
it gives the identity
|
(5)
|
with integers
(and where the sum can be taken only up to ).
Other multisection examples are given by Somos (2006).
See also
Multisection,
Series,
Series Reversion
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References
Honsberger, R. Mathematical Gems III. Washington, DC: Math. Assoc. Amer., pp. 210-214, 1985.Somos,
M. "A Multisection of -Series." Mar 31, 2006. http://cis.csuohio.edu/~somos/multiq.html.Referenced
on Wolfram|Alpha
Series Multisection
Cite this as:
Weisstein, Eric W. "Series Multisection."
From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SeriesMultisection.html
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