Critical Index
المؤلف:
Henrici, P
المصدر:
Applied and Computational Complex Analysis, Vol. 1: Power Series-Integration-Conformal Mapping-Location of Zeros.New York: Wiley
الجزء والصفحة:
pp. 641-642
18-12-2018
1534
Critical Index
Let 
be the Maclaurin series of a meromorphic function 
with a finite or infinite number of poles at points 
, indexed so that
then a pole will occur as many times in the sequence ![<span style=]()
{z_k}" src="http://mathworld.wolfram.com/images/equations/CriticalIndex/Inline4.gif" style="height:14px; width:22px" /> as indicated by its order. Any index such that
holds is then called a critical index of 
(Henrici 1988, pp. 641-642).
REFERENCES:
Henrici, P. Applied and Computational Complex Analysis, Vol. 1: Power Series-Integration-Conformal Mapping-Location of Zeros.New York: Wiley, pp. 641-642, 1988.
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