Math symbol in German thesis from 1963

Solution 1:

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Note the "C" (third character in third row) and the "s" (fourth character in second row) above.

The important thing is Daniel Fischer's comment from above that "$\operatorname{Cos}$" here does not mean $\cos$ but rather $\cosh$.

Solution 2:

To guess, except x everything else is a constant.

Left hand side of entire last line is proportional to 1/$\sqrt(1- x)$. So, if

x < 1 the first line is $ cosh( \alpha/3) $ for real argument and, if

x > 1 then first line should be taken to mean $ cos( \alpha/3) $ for imaginary argument

since $ cosh (i \alpha) = cos ( \alpha) $.