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View (previous 50 | next 50) (20 | 50 | 100 | 250 | 500)- B(x,y)=integral (t^(x-1)+t^(y-1))(1+t)^(-x-y) dt (transclusion) (← links)
- B(x,y+1)=(y/x)B(x+1,y) (transclusion) (← links)
- B(x,y+1)=(y/(x+y))B(x,y) (transclusion) (← links)
- B(x,y)B(x+y,z)=B(y,z)B(y+z,x) (transclusion) (← links)
- B(x,y)B(x+y,z)=B(z,x)B(x+z,y) (transclusion) (← links)
- B(x,y)B(x+y,z)B(x+y+z,u)=Gamma(x)Gamma(y)Gamma(z)Gamma(u)/Gamma(x+y+z+u) (transclusion) (← links)
- 1/B(n,m)=m((n+m-1) choose (n-1)) (transclusion) (← links)
- 1/B(n,m)=n((n+m-1) choose (m-1)) (transclusion) (← links)
- B(x,y)=2^(1-x-y)integral (1+t)^(x-1)(1-t)^(y-1)+(1+t)^(y-1)(1-t)^(x-1) dt (transclusion) (← links)
- Integral t^(x-1)(1-t)^(y-1)(1+bt)^(-x-y)dt = (1+b)^(-x)B(x,y) (transclusion) (← links)
- Integral t^(x-1)(1+bt)^(-x-y) dt = b^(-x) B(x,y) (transclusion) (← links)
- Integral (t-b)^(x-1)(a-t)^(y-1)dt=(a-b)^(x+y-1)B(x,y) (transclusion) (← links)
- Integral of (t-b)^(x-1)(a-t)^(y-1)/(t-x)^(x+y) dt=(a-b)^(x+y-1)/((a-c)^x(b-c)^y) B(x,y) (transclusion) (← links)
- Integral of (t-b)^(x-1)(a-t)^(y-1)/(c-t)^(x+y) dt = (a-b)^(x+y-1)/((c-a)^x (c-b)^y) B(x,y) (transclusion) (← links)
- Integral of (1+bt^z)^(-y)t^x dt = (1/z)*b^(-(x+1)/z) B((x+1)/z,y-(x+1)/z) (transclusion) (← links)
- Integral of t^(x-1)(1-t^z)^(y-1) dt=(1/z)B(x/z,y) (transclusion) (← links)
- Integral of (1+t)^(2x-1)(1-t)^(2y-1)(1+t^2)^(-x-y)dt=2^(x+y-2)B(x,y) (transclusion) (← links)
- Li2(z)=zPhi(z,2,1) (transclusion) (← links)
- Logarithm base a (transclusion) (← links)
- Log base a in terms of logarithm base b (transclusion) (← links)
- Log a(b)=1/log b(a) (transclusion) (← links)
- Log e(z)=log(z) (transclusion) (← links)
- Log 10(z)=log(z)/log(10) (transclusion) (← links)
- Log 10(z)=log 10(e)log(z) (transclusion) (← links)
- Log(z)=log(10)log 10(z) (transclusion) (← links)
- Limit of log(x)/x^a=0 (transclusion) (← links)
- Limit of x^a log(x)=0 (transclusion) (← links)
- X/(1+x) less than log(1+x) (transclusion) (← links)
- Log(1+x) less than x (transclusion) (← links)
- X less than -log(1-x) (transclusion) (← links)
- -log(1-x) less than x/(1-x) (transclusion) (← links)
- Abs(log(1-x)) less than 3x/2 (transclusion) (← links)
- Log(x) less than or equal to x-1 (transclusion) (← links)
- Log(x) less than or equal to n(x^(1/n)-1) (transclusion) (← links)
- Abs(log(1+z)) less than or equal to -log(1-abs(z)) (transclusion) (← links)
- Log(1+z) as continued fraction (transclusion) (← links)
- Log((1+z)/(1-z)) as continued fraction (transclusion) (← links)
- Li 2(z)=-Li 2(1/z)-(1/2)(log z)^2 + i pi log(z) + pi^2/3 (transclusion) (← links)
- Two-dimensional Laplace transform (transclusion) (← links)
- Unit step function (transclusion) (← links)
- Pythagorean identity for tanh and sech (transclusion) (← links)
- Pythagorean identity for coth and csch (transclusion) (← links)
- Sum of cosh and sinh (transclusion) (← links)
- Difference of cosh and sinh (transclusion) (← links)
- Sinh is odd (transclusion) (← links)
- Cosh is even (transclusion) (← links)
- Tanh is odd (transclusion) (← links)
- Sinh of a sum (transclusion) (← links)
- Cosh of a sum (transclusion) (← links)
- Tanh of a sum (transclusion) (← links)