User:MathFacts/Alternative

This is a table of derivatives and integrals of elementary functions in alternative calculi.

In the following table $$\psi(x,y)$$ is the generalized polygamma function, $$K(x)=e^{\zeta^\prime(-1,x)-\zeta^\prime(-1)}$$ is the K-function, $$(!x)=\frac{\Gamma(x+1,-1)}{e}$$ is subfactorial, $$B_n(x)\,$$ are the Bernoulli polynomials.