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- (b-a)2F1+a2F1(a+1)-b2F1(b+1)=0
- (c-2a-(b-a)z)2F1+a(1-z)2F1(a+1)-(c-a)2F1(a-1)=0
- (c-a-1)2F1+a2F1(a+1)-(c-1)2F1(c-1)=0
- (c-a-b)2F1+a(1-z)2F1(a+1)-(c-b)2F1(b-1)=0
- (c-a-b)2F1-(c-a)2F1(a-1)+b(1-z)2F1(b+1)=0
- (n+1)L (n+1)(x) = (2n+1-x)L n(x)-nL (n-1)(x)
- (n+2)C (n+2)^(lambda)(x)=2(lambda+n+1)xC (n+1)^(lambda)(x)-(2lambda+n)C n^(lambda)(x)
- (n+2lambda)C n^(lambda)(x)=2lambda(C n^(lambda+1)(x)-xC (n-1)^(lambda+1)(x))
- (z/(1-q))2Phi1(q,q;q^2;z)=Sum z^k/(1-q^k)
- *-c functions footer
- *-integral functions footer
- -log(1-x) less than x/(1-x)
- 0!=1
- 0F0(;;z)=exp(z)
- 0F1(;r;z)0F1(;r;-z)=0F3(r,r/2,r/2+1/2;-z^2/4)
- 0F1(;r;z)0F1(;s;z)=2F1(r/2+s/2, r/2+s/2-1/2;r,s,r+s-1;4z)
- 1+x greater than exp(x/(1+x)) for nonzero real x greater than -1
- 1/B(n,m)=m((n+m-1) choose (n-1))
- 1/B(n,m)=n((n+m-1) choose (m-1))
- 1/q-number as a q-number