python libraries

[robmio]

Although the "HP PRIME" G2 calculator is very fast, when it calculates the integral to obtain the "Studentize q Rance distribution CDF" function, it takes about 33 seconds. Is there a way, with Python, to reduce the computation time of this function?

#cas
Studentized_Range_q_P_Value(q,k,ν):=
BEGIN
LOCAL funzione;
funzione:=(√(2*π)*k*ν^(ν/2))/
(Gamma(ν/2)*2^(ν/2-1))*∫(s^(ν-1)*
e^((-ν*s^2/2))/(√(2*π))*∫(e^((-z^2)/2)/
(√(2*π))*(normald_cdf(0,1,z+q*s)-
normald_cdf(0,1,z))^(k-1),z,
-(∞),+∞),s,0,+∞);
RETURN 1-funzione;
END;
#end


This is one of the reasons why I asked if HP PRIME can "import" the Scipy library, Numpy or scipy.integrate (see https://www.youtube.com/watch?v=lzp48-AzUO0).

Best regards, Roberto