Electronic Resource
Springer
Periodica mathematica Hungarica
21 (1990), S. 281-301
ISSN:
1588-2829
Keywords:
60E07
;
60E10
;
33A65
;
33A70
;
Stable laws
;
derivatives
;
asymptotic expansions
;
saddle point method
;
formulae of Plancherel-Rotach type
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract For the derivativesp (k)(x; α, γ) of the stable density of index α asymptotic formulae (of Plancherel Rotach type) are computed ask→∞ thereby exhibiting the detailed analytic structure for large orders of derivatives. Generalizing known results for the special case of the one-sided stable laws (O〈α〈1, γ=-α) the whole range for the index of stability and the asymmetry parameter γ is covered.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02352693
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