Convergent Expansions for Solutions of Linear Ordinary Differential Equations Having a Simple Pole, with an Application to Associated Legendre Functions

Second‐order linear ordinary differential equations with a large parameter u are examined. Asymptotic expansions involving modified Bessel functions are applicable for the case where the coefficient function of the large parameter has a simple pole. In this paper, we examine such equations in the co...

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Veröffentlicht in:	Studies in applied mathematics (Cambridge) 2004-10, Vol.113 (3), p.245-270
1. Verfasser:	Dunster, T. M.
Format:	Artikel
Sprache:	eng
Schlagworte:	Asymptotic expansions Convergence Differential equations Exact sciences and technology Factorials Functions of a complex variable Inverse Legendre functions Mathematical analysis Mathematics Ordinary differential equations Poles Sciences and techniques of general use
Online-Zugang:	Volltext
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