Gleichmässige asymptotische Entwicklungen für unvollständige Integrale
Hans-Joachim Schell
Technische Universität Chemnitz, Germany
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Abstract
A type of integral is considered in which the integrand exp has an only maximum in for all (real) near , the upper limit is and the lower limit can vary in . For integrals of this type an asymptotic expansion is derived holding for and uniformly with respect to all . The results are applied to the incomplete gamma function and incomplete beta function.
Cite this article
Hans-Joachim Schell, Gleichmässige asymptotische Entwicklungen für unvollständige Integrale. Z. Anal. Anwend. 2 (1983), no. 5, pp. 427–442
DOI 10.4171/ZAA/78