User contributions
(newest | oldest) View (newer 100 | older 100) (20 | 50 | 100 | 250 | 500)
- 05:39, 4 March 2018 (diff | hist) . . (0) . . m Book:Norman L. Johnson/Continuous Univariate Distributions Volume 2/Second Edition (Tom moved page Creating Book:Norman L. Johnson/Continuous Univariate Distributions Volume 2/Second Edition to Book:Norman L. Johnson/Continuous Univariate Distributions Volume 2/Second Edition without leaving a redirect) (current)
- 01:24, 4 March 2018 (diff | hist) . . (+175) . . N Book:Norman L. Johnson/Continuous Univariate Distributions Volume 2/Second Edition (Created page with "{{Book|Continuous Univariate Distributions Volume 2|1995|John Wiley & Sons, Inc||Norman L. Johnson|author2=Samuel Kotz|author3=N. Balakrishnan}} =Contents= Category:Book")
- 01:08, 4 March 2018 (diff | hist) . . (+102) . . Book:Arthur Erdélyi/Higher Transcendental Functions Volume I
- 01:07, 4 March 2018 (diff | hist) . . (+401) . . N Euler E n'(x)=nE n-1(x) (Created page with "==Theorem== The following formula holds: $$E_n'(x)=n E_{n-1}(x),$$ where $E_n$ denotes an Euler polynomial. ==References== * {{BookReference|Higher Transcendental...") (current)
- 01:05, 4 March 2018 (diff | hist) . . (+17) . . Euler E generating function (current)
- 01:05, 4 March 2018 (diff | hist) . . (-193) . . Euler E (→Properties) (current)
- 01:04, 4 March 2018 (diff | hist) . . (+14) . . Euler E generating function
- 01:04, 4 March 2018 (diff | hist) . . (+11) . . Euler numbers (current)
- 01:03, 4 March 2018 (diff | hist) . . (+208) . . Euler E generating function
- 01:03, 4 March 2018 (diff | hist) . . (+511) . . N Euler numbers (Created page with "The Euler numbers $E_k$ are the coefficients in the following Taylor series for $|z| < \dfrac{\pi}{2}$: $$\mathrm{sech}(z) = \displaystyle\sum_{k=0}^{\infty} E_k \dfrac{z^...")
- 23:27, 3 March 2018 (diff | hist) . . (+82) . . Z/(1-sqrt(q))2Phi1(q,sqrt(q);sqrt(q^3);z)=Sum z^k/(1-q^(k-1/2)) (current)
- 23:27, 3 March 2018 (diff | hist) . . (+82) . . 2Phi1(q,-1;-q;z)=1+2Sum z^k/(1+q^k) (current)
- 23:26, 3 March 2018 (diff | hist) . . (+82) . . (z/(1-q))2Phi1(q,q;q^2;z)=Sum z^k/(1-q^k) (current)
- 23:26, 3 March 2018 (diff | hist) . . (+82) . . 1Phi0(a;;z)1Phi0(b;;az)=1Phi0(ab;;z) (current)
- 23:26, 3 March 2018 (diff | hist) . . (+82) . . 1Phi0(a;;z) as infinite product (current)
- 23:26, 3 March 2018 (diff | hist) . . (+82) . . Basic hypergeometric phi (current)
- 23:26, 3 March 2018 (diff | hist) . . (+82) . . Q-shifted factorial
- 23:26, 3 March 2018 (diff | hist) . . (+82) . . 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) (current)
- 23:25, 3 March 2018 (diff | hist) . . (+82) . . 1F1(a;r;z)1F1(a;r;-z)=2F3(a,r-a;r,r/2,r/2+1/2;z^2/4) (current)
- 23:25, 3 March 2018 (diff | hist) . . (+82) . . 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) (current)
- 23:25, 3 March 2018 (diff | hist) . . (+82) . . 0F1(;r;z)0F1(;r;-z)=0F3(r,r/2,r/2+1/2;-z^2/4) (current)
- 23:25, 3 March 2018 (diff | hist) . . (+82) . . 0F1(;r;z)0F1(;s;z)=2F1(r/2+s/2, r/2+s/2-1/2;r,s,r+s-1;4z) (current)
- 23:25, 3 March 2018 (diff | hist) . . (+82) . . 2F1(a,b;a+b+1/2;z)^2=3F2(2a,a+b,2b;a+b+1/2,2a+2b;z) (current)
- 23:25, 3 March 2018 (diff | hist) . . (+82) . . Pochhammer symbol with non-negative integer subscript (current)
- 23:25, 3 March 2018 (diff | hist) . . (+164) . . Pochhammer (current)
- 23:25, 3 March 2018 (diff | hist) . . (+164) . . Hypergeometric pFq
- 23:24, 3 March 2018 (diff | hist) . . (+82) . . (c-a-b)2F1-(c-a)2F1(a-1)+b(1-z)2F1(b+1)=0 (current)
- 23:24, 3 March 2018 (diff | hist) . . (+82) . . (c-a-1)2F1+a2F1(a+1)-(c-1)2F1(c-1)=0 (current)
- 23:24, 3 March 2018 (diff | hist) . . (+82) . . C(a-(c-b)z)2F1-ac(1-z)2F1(a+1)+(c-a)(c-b)z2F1(c+1)=0 (current)
- 23:24, 3 March 2018 (diff | hist) . . (+82) . . (c-a-b)2F1+a(1-z)2F1(a+1)-(c-b)2F1(b-1)=0 (current)
- 23:23, 3 March 2018 (diff | hist) . . (+82) . . (b-a)2F1+a2F1(a+1)-b2F1(b+1)=0 (current)
- 23:23, 3 March 2018 (diff | hist) . . (+82) . . (c-2a-(b-a)z)2F1+a(1-z)2F1(a+1)-(c-a)2F1(a-1)=0 (current)
- 23:23, 3 March 2018 (diff | hist) . . (+164) . . Hypergeometric 2F1 (current)
- 23:23, 3 March 2018 (diff | hist) . . (+82) . . Bernoulli numbers (current)
- 23:23, 3 March 2018 (diff | hist) . . (+82) . . Li 2(z)=-Li 2(1/z)-(1/2)(log z)^2 + i pi log(z) + pi^2/3 (current)
- 23:23, 3 March 2018 (diff | hist) . . (+82) . . Li2(z)=zPhi(z,2,1) (current)
- 23:23, 3 March 2018 (diff | hist) . . (+82) . . Relationship between dilogarithm and log(1-z)/z (current)
- 23:22, 3 March 2018 (diff | hist) . . (+82) . . Dilogarithm (current)
- 23:22, 3 March 2018 (diff | hist) . . (+82) . . Lerch transcendent (current)
- 23:22, 3 March 2018 (diff | hist) . . (+82) . . Digamma at z+n (current)
- 23:22, 3 March 2018 (diff | hist) . . (+82) . . Digamma at n+1 (current)
- 23:22, 3 March 2018 (diff | hist) . . (+82) . . Digamma functional equation (current)
- 23:22, 3 March 2018 (diff | hist) . . (+82) . . Digamma at 1 (current)
- 23:21, 3 March 2018 (diff | hist) . . (+82) . . Digamma (current)
- 21:04, 3 March 2018 (diff | hist) . . (+82) . . Beta in terms of sine and cosine (current)
- 21:04, 3 March 2018 (diff | hist) . . (+82) . . Integral of (1+t)^(2x-1)(1-t)^(2y-1)(1+t^2)^(-x-y)dt=2^(x+y-2)B(x,y) (current)
- 21:03, 3 March 2018 (diff | hist) . . (+82) . . Integral of t^(x-1)(1-t^z)^(y-1) dt=(1/z)B(x/z,y) (current)
- 21:03, 3 March 2018 (diff | hist) . . (+82) . . Integral of (1+bt^z)^(-y)t^x dt = (1/z)*b^(-(x+1)/z) B((x+1)/z,y-(x+1)/z) (current)
- 21:03, 3 March 2018 (diff | hist) . . (+82) . . 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) (current)
- 21:03, 3 March 2018 (diff | hist) . . (+82) . . 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) (current)
- 21:03, 3 March 2018 (diff | hist) . . (+82) . . Integral (t-b)^(x-1)(a-t)^(y-1)dt=(a-b)^(x+y-1)B(x,y) (current)
- 21:03, 3 March 2018 (diff | hist) . . (+82) . . Integral t^(x-1)(1+bt)^(-x-y) dt = b^(-x) B(x,y) (current)
- 21:02, 3 March 2018 (diff | hist) . . (+82) . . Integral t^(x-1)(1-t)^(y-1)(1+bt)^(-x-y)dt = (1+b)^(-x)B(x,y) (current)
- 21:02, 3 March 2018 (diff | hist) . . (+82) . . 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 (current)
- 21:02, 3 March 2018 (diff | hist) . . (+82) . . 1/B(n,m)=n((n+m-1) choose (m-1)) (current)
- 21:01, 3 March 2018 (diff | hist) . . (+82) . . 1/B(n,m)=m((n+m-1) choose (n-1)) (current)
- 21:01, 3 March 2018 (diff | hist) . . (+82) . . 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) (current)
- 20:58, 3 March 2018 (diff | hist) . . (+82) . . B(x,y)B(x+y,z)=B(z,x)B(x+z,y) (current)
- 20:58, 3 March 2018 (diff | hist) . . (+82) . . B(x,y)B(x+y,z)=B(y,z)B(y+z,x) (current)
- 20:58, 3 March 2018 (diff | hist) . . (+82) . . B(x,y+1)=(y/(x+y))B(x,y) (current)
- 20:58, 3 March 2018 (diff | hist) . . (+82) . . B(x,y+1)=(y/x)B(x+1,y) (current)
- 20:58, 3 March 2018 (diff | hist) . . (+82) . . Beta as product of gamma functions (current)
- 20:57, 3 March 2018 (diff | hist) . . (+82) . . Beta is symmetric (current)
- 20:57, 3 March 2018 (diff | hist) . . (+82) . . B(x,y)=integral (t^(x-1)+t^(y-1))(1+t)^(-x-y) dt (current)
- 20:57, 3 March 2018 (diff | hist) . . (+82) . . Beta as improper integral (current)
- 20:57, 3 March 2018 (diff | hist) . . (+82) . . Beta
- 20:57, 3 March 2018 (diff | hist) . . (+82) . . Euler-Mascheroni constant (current)
- 20:56, 3 March 2018 (diff | hist) . . (+82) . . Reciprocal gamma written as an infinite product (current)
- 20:56, 3 March 2018 (diff | hist) . . (+82) . . Gamma function written as infinite product (current)
- 20:56, 3 March 2018 (diff | hist) . . (+82) . . Gamma function written as a limit of a factorial, exponential, and a rising factorial (current)
- 20:56, 3 March 2018 (diff | hist) . . (+82) . . Gamma(z) as integral of a power of log(1/t) for Re(z) greater than 0 (current)
- 20:56, 3 March 2018 (diff | hist) . . (+82) . . Gamma
- 20:55, 3 March 2018 (diff | hist) . . (+80) . . Book:Arthur Erdélyi/Higher Transcendental Functions Volume I
- 20:54, 3 March 2018 (diff | hist) . . (+2) . . Book:Arthur Erdélyi/Higher Transcendental Functions Volume I
- 20:53, 3 March 2018 (diff | hist) . . (0) . . m Book:Arthur Erdélyi/Higher Transcendental Functions Volume I (Tom moved page Book:Harry Bateman/Higher Transcendental Functions Volume I to Book:Arthur Erdélyi/Higher Transcendental Functions Volume I)
- 20:53, 3 March 2018 (diff | hist) . . (+75) . . N Book:Harry Bateman/Higher Transcendental Functions Volume I (Tom moved page Book:Harry Bateman/Higher Transcendental Functions Volume I to Book:Arthur Erdélyi/Higher Transcendental Functions Volume I) (current)
- 03:22, 26 February 2018 (diff | hist) . . (+46) . . Book:Nicholas Higham/Functions of Matrices: Theory and Computation (current)
- 03:20, 26 February 2018 (diff | hist) . . (+6) . . Modular form (current)
- 03:20, 26 February 2018 (diff | hist) . . (+21) . . Modular form
- 03:19, 26 February 2018 (diff | hist) . . (+501) . . N Modular form (Created page with "A modular form of weight $k$ for $\mathrm{SL}(2,\mathbb{Z})$ is a function $f \colon \mathbb{H} \rightarrow \mathbb{C}$, where $\mathbb{H}$ is a the upper half-plane that sati...")
- 03:10, 26 February 2018 (diff | hist) . . (+23) . . Matrix exponential (current)
- 03:10, 26 February 2018 (diff | hist) . . (+377) . . N Matrix e^A=limit of (I+A/s)^s (Created page with "==Theorem== The following formula holds for any matrix $A \in \mathbb{C}^{n \times n}$: $$e^A = \displaystyle\lim_{s \rightarrow \infty} \left( I + \dfrac{A}{s} \right)^s.$$...") (current)
- 15:46, 25 February 2018 (diff | hist) . . (+474) . . Catalan's constant using Legendre chi (current)
- 15:40, 25 February 2018 (diff | hist) . . (0) . . Catalan's constant (current)
- 04:28, 24 February 2018 (diff | hist) . . (0) . . Book:Nicholas Higham/Functions of Matrices: Theory and Computation
- 04:28, 24 February 2018 (diff | hist) . . (+35) . . Book:Nicholas Higham/Functions of Matrices: Theory and Computation
- 04:27, 24 February 2018 (diff | hist) . . (+40) . . Matrix exponential
- 04:26, 24 February 2018 (diff | hist) . . (+121) . . Matrix exponential
- 04:16, 24 February 2018 (diff | hist) . . (+2,234) . . Book:Nicholas Higham/Functions of Matrices: Theory and Computation
- 04:06, 24 February 2018 (diff | hist) . . (+5,025) . . N Book:Nicholas Higham/Functions of Matrices: Theory and Computation (Created page with "{{Book|Functions of Matrices: Theory and Computation|2008|||Nicholas Higham}} :List of Figures :List of Tables :Preface :1 Theory of Matrix Functions ::1.1 Introduction ::1.2...")
- 02:28, 24 February 2018 (diff | hist) . . (+23) . . Main Page (→*-integral functions)
- 02:25, 24 February 2018 (diff | hist) . . (+175) . . N Entire exponential integral (Created page with "The $\mathrm{Ein}$ function is defined by $$\mathrm{Ein}(z)=\displaystyle\int_0^z \dfrac{1-e^{-t}}{t} \mathrm{d}t.$$ =Properties= =References= Category:SpecialFunction")
- 02:01, 24 February 2018 (diff | hist) . . (+2) . . Integral of (z^n)log(z)dz=(z^(n+1)/(n+1))log(z)-z^(n+1)/(n+1)^2 for integer n neq -1 (current)
- 01:48, 24 February 2018 (diff | hist) . . (0) . . Coth of a sum (current)
- 23:18, 20 February 2018 (diff | hist) . . (+88) . . Integral of Bessel J for nu=1 (current)
- 23:17, 20 February 2018 (diff | hist) . . (+21) . . Integral of Bessel J for nu=1
- 23:16, 20 February 2018 (diff | hist) . . (+109) . . Integral of Bessel J for nu=1
- 23:15, 20 February 2018 (diff | hist) . . (+112) . . Integral of Bessel J for nu=1
- 23:14, 20 February 2018 (diff | hist) . . (+506) . . Integral of Bessel J for nu=1
- 23:10, 20 February 2018 (diff | hist) . . (+124) . . Integral of Bessel J for nu=1
(newest | oldest) View (newer 100 | older 100) (20 | 50 | 100 | 250 | 500)