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- 1F1(a;2a;z)1F1(b;2b;-z)=2F3(a/2+b/2,a/2+b/2+1/2;a+1/2,b+1/2,a+b;z^2/4)
- 1F1(a;r;z)1F1(a;r;-z)=2F3(a,r-a;r,r/2,r/2+1/2;z^2/4)
- 1Phi0(a;;z)1Phi0(b;;az)=1Phi0(ab;;z)
- 1Phi0(a;;z) as infinite product
- 2F0(a,b;;z)2F0(a,b;;-z)=4F1(a,b,a/2+b/2,a/2+b/2+1/2;a+b;4z^2)
- 2F1(1,1;2;z)=-log(1-z)/z
- 2F1(1/2,1/2;3/2;z^2)=arcsin(z)/z
- 2F1(1/2,1;3/2;-z^2)=arctan(z)/z
- 2F1(1/2,1;3/2;z^2)=log((1+z)/(1-z))/(2z)
- 2F1(a,b;a+b+1/2;z)^2=3F2(2a,a+b,2b;a+b+1/2,2a+2b;z)
- 2Phi1(q,-1;-q;z)=1+2Sum z^k/(1+q^k)
- 2cos(mt)cos(nt)=cos((m+n)t)+cos((m-n)t)
- Abel p
- Abs(e^z-1) less than or equal to e^(abs(z))-1 less than or equal to abs(z)e^(abs(z))
- Abs(log(1+z)) less than or equal to -log(1-abs(z))
- Abs(log(1-x)) less than 3x/2
- Abs(z)/4 less than abs(e^z-1) less than (7abs(z))/4 for 0 less than abs(z) less than 1
- Absolute convergence of secant zeta function
- Airy Ai
- Airy Bi