Pages that link to "Template:BookReference"
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View (previous 100 | next 100) (20 | 50 | 100 | 250 | 500)- Logarithmic derivative of Riemann zeta in terms of Mangoldt function (transclusion) (← links)
- Generating function for Hermite (physicist) polynomials (transclusion) (← links)
- Closed formula for physicist's Hermite polynomials (transclusion) (← links)
- Hermite (physicist) polynomial at negative argument (transclusion) (← links)
- Series for q-sin sub q (transclusion) (← links)
- Sqrt(1-z^2)2F1(1,1;3/2;z^2)=arcsin(z)/z (transclusion) (← links)
- Period of sinh (transclusion) (← links)
- Period of cosh (transclusion) (← links)
- Period of tanh (transclusion) (← links)
- Symmetry relation of exponential integral E (transclusion) (← links)
- Recurrence relation of exponential integral E (transclusion) (← links)
- Digamma at 1/2 (transclusion) (← links)
- Digamma at n+1/2 (transclusion) (← links)
- (c-2a-(b-a)z)2F1+a(1-z)2F1(a+1)-(c-a)2F1(a-1)=0 (transclusion) (← links)
- (b-a)2F1+a2F1(a+1)-b2F1(b+1)=0 (transclusion) (← links)
- (c-a-b)2F1+a(1-z)2F1(a+1)-(c-b)2F1(b-1)=0 (transclusion) (← links)
- C(a-(c-b)z)2F1-ac(1-z)2F1(a+1)+(c-a)(c-b)z2F1(c+1)=0 (transclusion) (← links)
- (c-a-1)2F1+a2F1(a+1)-(c-1)2F1(c-1)=0 (transclusion) (← links)
- (c-a-b)2F1-(c-a)2F1(a-1)+b(1-z)2F1(b+1)=0 (transclusion) (← links)
- Reciprocal Riemann zeta in terms of Mobius (transclusion) (← links)
- Derivative of the logarithm (transclusion) (← links)
- Beta in terms of power of t over power of (1+t) (transclusion) (← links)
- Riemann zeta as integral of monomial divided by an exponential (transclusion) (← links)
- Q-number of a negative (transclusion) (← links)
- 1/q-number as a q-number (transclusion) (← links)
- Q-shifted factorial (transclusion) (← links)
- Asymptotic behavior of Sievert integral (transclusion) (← links)
- Relationship between Sievert integral and exponential integral E (transclusion) (← links)
- Series for polygamma in terms of Riemann zeta (transclusion) (← links)
- Dirichlet series (transclusion) (← links)
- General Dirichlet series (transclusion) (← links)
- Riemann zeta as contour integral (transclusion) (← links)
- Riemann zeta at even integers (transclusion) (← links)
- Functional equation for Riemann zeta (transclusion) (← links)
- Functional equation for Riemann zeta with cosine (transclusion) (← links)
- Functional equation for Riemann xi (transclusion) (← links)
- Riemann-Landau xi (transclusion) (← links)
- Riemann-Landau xi is even (transclusion) (← links)
- Pochhammer symbol with non-negative integer subscript (transclusion) (← links)
- 2F1(a,b;a+b+1/2;z)^2=3F2(2a,a+b,2b;a+b+1/2,2a+2b;z) (transclusion) (← links)
- 0F1(;r;z)0F1(;s;z)=2F1(r/2+s/2, r/2+s/2-1/2;r,s,r+s-1;4z) (transclusion) (← links)
- 0F1(;r;z)0F1(;r;-z)=0F3(r,r/2,r/2+1/2;-z^2/4) (transclusion) (← links)
- 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) (transclusion) (← links)
- 1F1(a;r;z)1F1(a;r;-z)=2F3(a,r-a;r,r/2,r/2+1/2;z^2/4) (transclusion) (← links)
- 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) (transclusion) (← links)
- 1Phi0(a;;z) as infinite product (transclusion) (← links)
- 1Phi0(a;;z)1Phi0(b;;az)=1Phi0(ab;;z) (transclusion) (← links)
- (z/(1-q))2Phi1(q,q;q^2;z)=Sum z^k/(1-q^k) (transclusion) (← links)
- 2Phi1(q,-1;-q;z)=1+2Sum z^k/(1+q^k) (transclusion) (← links)
- Z/(1-sqrt(q))2Phi1(q,sqrt(q);sqrt(q^3);z)=Sum z^k/(1-q^(k-1/2)) (transclusion) (← links)
- 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)