Gleichmässige asymptotische Entwicklungen für Parameterintegrale mit zwei reellen Parametern
Hans-Joachim Schell
Technische Universität Chemnitz, Germany
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Abstract
In [8] asymptotic approximations for a class of integrals depending on two real parameters were obtained. They are valid if tends to and hold uniformly in certain intervals. Now these results are generalized by deriving asymptotic expansions for the same class of integrals. Again, two cases are considered: a) the integrand has a simple maximum interior to the interval of integration, b) this interval contains no inner stationary point. The results are applied to the Anger function and to the incomplete gamma function.
Cite this article
Hans-Joachim Schell, Gleichmässige asymptotische Entwicklungen für Parameterintegrale mit zwei reellen Parametern. Z. Anal. Anwend. 2 (1983), no. 2, pp. 159–173
DOI 10.4171/ZAA/57