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On the zeros of the function $\beta(z)$ associated with the gamma function

On the zeros of the function $\beta(z)$ associated with the gamma function

Nielsenf has raised the question whether the function ß(z) defined byhas any zeros, and has shown that there are no real zeros, and that the complex zeros, if any, must have their real part less than -$.This question will be answered completely in the following, by showing thatThe zeros of …