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Univalent Solutions of W″ + pW = 0

Published online by Cambridge University Press:  20 November 2018

R. K. Brown
R. K. Brown*
Affiliation:
United States Army Signal R/D Agency Fort Monmouth, New Jersey
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Consider the differential equation

1.1

where

1.2

is regular in |z| < R.

The indicial equation associated with (1.1) is of the form

We shall denote the two roots of this equation by α and β, where . Corresponding to the root α there exists a unique solution of (1.1) of the following form

1.3

In those cases for which there exists a unique second solution of (1.1) of the form

1.4

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 14 , 1962 , pp. 69 - 78
Copyright
Copyright © Canadian Mathematical Society 1962

References

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