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On the Zeros of the Incomplete Gamma Function

K. S. Kölbig
Mathematics of Computation
Vol. 26, No. 119 (Jul., 1972), pp. 751-755
DOI: 10.2307/2005103
Stable URL: http://www.jstor.org/stable/2005103
Page Count: 5
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
On the Zeros of the Incomplete Gamma Function
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Abstract

Some asymptotic formulae given elsewhere for the zeros of the incomplete gamma function γ(a, x) are corrected. A plot of a few of the zero trajectories of the function γ(xw, x) is given, where x is a real parameter. Based on theoretical work by Mahler, it is seen that the zero trajectories of γ(xw, x) lie in a finite region of the complex w-plane.

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