New Asymptotics for the Zeros of Whittaker's Functions

被引:0
作者
Bruno Gabutti
Luigi Gatteschi
机构
[1] University of Turin,Department of Mathematics
[2] Academy of Sciences of Turin,undefined
来源
Numerical Algorithms | 2001年 / 28卷
关键词
Whittaker functions; Laguerre polynomials; zeros; Liouville–Green approximation;
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摘要
Uniform asymptotic representations for the zeros of the Whittaker functions Mκ,μ(z) and Wκ,μ(z) are derived from well-known uniform asymptotic expansions. The approximation formulas involve the zeros of Bessel or Airy functions.
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页码:159 / 170
页数:11
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  • [1] Dunster T.M.(1989)Uniform asymptotic expansions of Whittaker's confluent hypergeometric functions SIAM J. Math. Anal. 20 744-760