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Asymptotic Expansion and Generalized Schläfli Integral Representation for the Eigenfunction of a Singular Second-Order Differential Operator

✍ Scribed by M.N Lazhari; L.T Rachdi; K Trimèche


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
288 KB
Volume
217
Category
Article
ISSN
0022-247X

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✦ Synopsis


In this work we consider the eigenfunction V , t satisfying a condition at Ž . infinity of a singular second order differential operator on 0, qϱ . We give an < < asymptotic expansion of this solution with respect to the variable as ª qϱ, which permits us to establish a generalized Schlafli integral representation for the Ž . function V , t . We then give some applications of these results.