On the zeros of the incomplete gamma function

Kölbig, K. S.

doi:10.1090/S0025-5718-1972-0326994-1

On the zeros of the incomplete gamma function
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Math. Comp. 26 (1972), 751-755 Request permission

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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Higher Transcendental Functions

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