Gleichmässige asymptotische Entwicklungen für unvollständige Integrale

  • Hans-Joachim Schell

    Technische Universität Chemnitz, Germany

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