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##f(x)## is well defined and restricted to either ##x>0## or ##x<0##. ##\alpha##, ##\beta##, ##\gamma##, ##\delta## in general may be complex and independent of ##x## (they parametrize function ##f(x)##). However ##\gamma##, ##\delta## may be functions of ##\alpha##, ##\beta##. In the example...

Hi, I am struggling with a problem, where in the middle of my calculations I need to determine a function ##f(\alpha, \beta; x)##, namely the function of ##x## parametrized by ##\alpha## and ##\beta##, from the following equation $$f\left(\alpha, \beta;\frac{1}{x}\right) = x^4f(\gamma...