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On the zeros of the incomplete gamma function


Author: K. S. Kölbig
Journal: Math. Comp. 26 (1972), 751-755
MSC: Primary 65D20
DOI: https://doi.org/10.1090/S0025-5718-1972-0326994-1
MathSciNet review: 0326994
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Abstract: Some asymptotic formulae given elsewhere for the zeros of the incomplete gamma function $ \gamma (a,x)$ are corrected. A plot of a few of the zero trajectories of the function $ \gamma (xw,x)$ is given, where $ x$ is a real parameter. Based on theoretical work by Mahler, it is seen that the zero trajectories of $ \gamma (xw,x)$ lie in a finite region of the complex $ w$-plane.


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Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1972-0326994-1
Keywords: Incomplete gamma function, complex zeros
Article copyright: © Copyright 1972 American Mathematical Society