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Asymptotic Solution Of Differential Equations In a Domain Containing a Regular Singular Point

Published online by Cambridge University Press:  20 November 2018

N. D. Kazarinoff  and
R. McKelvey
N. D. Kazarinoff
Affiliation:
Purdue University
R. McKelvey
Affiliation:
Institute for Fluid Dynamics and Applied Mathematics University of Maryland
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1. Introduction. In this paper we study the asymptotic behavior in λ of the solutions about the origin in the z-plane of the differential equation

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Both the variable z and the parameter λ are complex. The coefficient P(z, λ) is assumed to be analytic and single-valued in λ at infinity and in z throughout a bounded, closed, simply connected domain D containing z = 0.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 8 , 1956 , pp. 97 - 104
Copyright
Copyright © Canadian Mathematical Society 1956

References

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