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I just learned online about Polygamma functions, and I want to know what $x$ equals (and how to get it) when $\psi(x)=1$ and $x>1$.

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  • $\begingroup$ can you share more about what you've learned and what you've tried $\endgroup$ – phdmba7of12 Mar 24 at 18:08
  • $\begingroup$ I leared about the definision of the gamma and other polygamma function's, ways to approximate polygamma funcsions, all the sigma and intergalic polygammas, the conection to euler mascheroni constant, representation by product functions, things like that. $\endgroup$ – pgp1 Mar 24 at 18:15
  • $\begingroup$ The value of digamma is $1$ at approximately $3.2$ which can be found using several programs such as Maple, Mathematica, Sage,PARI/GP etc. Does this answer your question? $\endgroup$ – Somos Mar 24 at 20:10
  • $\begingroup$ cross posted mathoverflow.net/questions/326223/… $\endgroup$ – verret Mar 24 at 20:22
  • $\begingroup$ I know that it equal to 3.2 but I want to know if there is explanation why? $\endgroup$ – pgp1 Mar 25 at 14:36

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