User contributions
(newest | oldest) View (newer 50 | older 50) (20 | 50 | 100 | 250 | 500)
- 15:53, 2 January 2018 (diff | hist) . . (+25) . . Main Page (→Special functions)
- 14:42, 23 December 2017 (diff | hist) . . (+81) . . Paper:Harvey Dubner/Factorial and Primorial Primes (current)
- 14:36, 23 December 2017 (diff | hist) . . (+194) . . N Primorial (Created page with "The primorial $p_n\#$ of the prime number $p_n$ is $$p_n\#=p_n p_{n-1} p_{n-2} \ldots p_1.$$ =References= * {{PaperReference|Factorial and Primorial Primes|1987|Harvey D...") (current)
- 06:18, 23 December 2017 (diff | hist) . . (-1) . . Paper:Harvey Dubner/Factorial and Primorial Primes
- 06:18, 23 December 2017 (diff | hist) . . (+152) . . N Paper:Harvey Dubner/Factorial and Primorial Primes (Created page with "{{Book|Factorial and Primorial Primes|1987|Journal of Recreational Mathematics||Harvey Dubner}} ===Contents==== Primorial<br /> Category:Paper")
- 05:25, 21 December 2017 (diff | hist) . . (+482) . . N Gamma'(z)/Gamma(z)=-gamma-1/z+Sum z/(k(z+k)) (Created page with "==Theorem== The following formula holds: $$\dfrac{\Gamma'(z)}{\Gamma(z)} = -\gamma-\dfrac{1}{z}+\displaystyle\sum_{k=1}^{\infty} \dfrac{z}{k(z+k)},$$ where $\Gamma$ denotes ...") (current)
- 05:22, 21 December 2017 (diff | hist) . . (+55) . . Gamma
- 05:19, 21 December 2017 (diff | hist) . . (+63) . . Book:Earl David Rainville/Special Functions (current)
- 05:18, 21 December 2017 (diff | hist) . . (+97) . . Reciprocal gamma written as an infinite product
- 05:10, 21 December 2017 (diff | hist) . . (+11) . . Fresnel C (current)
- 05:10, 21 December 2017 (diff | hist) . . (0) . . Fresnel C
- 05:08, 21 December 2017 (diff | hist) . . (+277) . . Book:Milton Abramowitz/Handbook of mathematical functions (current)
- 05:06, 21 December 2017 (diff | hist) . . (+440) . . N 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 (Created page with "==Theorem== The following formula holds for integers $n \neq -1$: $$\displaystyle\int z^n \log(z) \mathrm{d}z= \dfrac{z^{n+1}\log(z)}{n+1} - \dfrac{z^{n+1}}{(n+1)^2},$$ where...")
- 05:05, 21 December 2017 (diff | hist) . . (+458) . . N Antiderivative of the logarithm (Created page with "==Theorem== The following formula holds: $$\displaystyle\int \log(z) \mathrm{d}z = z\log(z)-z+C,$$ where $\log$ denotes the logarithm. ==Proof== ==References== * {{BookR...") (current)
- 05:03, 21 December 2017 (diff | hist) . . (+25) . . Logarithm (current)
- 05:02, 21 December 2017 (diff | hist) . . (+157) . . Logarithm
- 05:01, 21 December 2017 (diff | hist) . . (+384) . . N Nth derivative of logarithm (Created page with "==Theorem== The following formula holds: $$\dfrac{\mathrm{d}^n}{\mathrm{d}z^n} \log(z)=(-1)^{n-1}(n-1)! z^{-n},$$ where $\log$ denotes the logarithm. ==Proof== ==Referen...") (current)
- 04:59, 21 December 2017 (diff | hist) . . (+21) . . Derivative of the logarithm (current)
- 04:57, 21 December 2017 (diff | hist) . . (+136) . . Derivative of the logarithm
- 04:56, 21 December 2017 (diff | hist) . . (+1) . . Log((1+z)/(1-z)) as continued fraction (current)
- 04:54, 21 December 2017 (diff | hist) . . (+53) . . Elliptic E (current)
- 04:52, 21 December 2017 (diff | hist) . . (+104) . . Book:Milton Abramowitz/Handbook of mathematical functions
- 04:52, 21 December 2017 (diff | hist) . . (+453) . . N E(m)=(pi/2)2F1(-1/2,1/2;1;m) (Created page with "==Theorem== The following formula holds: $$E(m) = \dfrac{\pi}{2} {}_2F_1 \left( - \dfrac{1}{2}, \dfrac{1}{2};1;m \right),$$ where $E$ denotes Elliptic E, $\pi$ denotes p...") (current)
- 04:50, 21 December 2017 (diff | hist) . . (+452) . . N K(m)=(pi/2)2F1(1/2,1/2;1;m) (Created page with "==Theorem== The following formula holds: $$K(m)=\dfrac{\pi}{2} {}_2F_1 \left( \dfrac{1}{2}, \dfrac{1}{2}; 1; m \right),$$ where $K$ denotes Elliptic K, $\pi$ denotes [[pi]...") (current)
- 04:48, 21 December 2017 (diff | hist) . . (+52) . . Elliptic K (current)
- 04:47, 21 December 2017 (diff | hist) . . (+27) . . Book:Milton Abramowitz/Handbook of mathematical functions
- 04:47, 21 December 2017 (diff | hist) . . (-18) . . Elliptic K
- 03:37, 21 December 2017 (diff | hist) . . (+9) . . Laplace transform (current)
- 03:27, 21 December 2017 (diff | hist) . . (+2) . . Laplace transform
- 03:23, 21 December 2017 (diff | hist) . . (+1) . . Laplace transform
- 02:41, 21 December 2017 (diff | hist) . . (+1) . . Li 2(z)+Li 2(1-z)=pi^2/6-log(z)log(1-z) (current)
- 02:40, 21 December 2017 (diff | hist) . . (+515) . . N Li 2(z)+Li 2(1-z)=pi^2/6-log(z)log(1-z) (Created page with "==Theorem== The following formula holds: $$\mathrm{Li}_2(z)+\mathrm{Li}_2(1-z)=\dfrac{\pi^2}{6} - \log(z)\log(1-z),$$ where $\mathrm{Li}_2$ denotes the dilogarithm, $\pi$...")
- 02:33, 21 December 2017 (diff | hist) . . (+33) . . Dilogarithm (→References)
- 02:27, 21 December 2017 (diff | hist) . . (+37) . . Book:Milton Abramowitz/Handbook of mathematical functions
- 02:26, 21 December 2017 (diff | hist) . . (+293) . . Dilogarithm
- 01:58, 21 December 2017 (diff | hist) . . (+104) . . Euler totient (→Videos) (current)
- 01:09, 21 December 2017 (diff | hist) . . (+284) . . Struve function (current)
- 01:08, 21 December 2017 (diff | hist) . . (+40) . . Book:Milton Abramowitz/Handbook of mathematical functions
- 01:07, 21 December 2017 (diff | hist) . . (-16) . . Book:Milton Abramowitz/Handbook of mathematical functions
- 01:05, 21 December 2017 (diff | hist) . . (-2) . . H (-(n+1/2))(z)=(-1)^n J (n+1/2)(z) for integer n geq 0 (current)
- 01:05, 21 December 2017 (diff | hist) . . (+563) . . N H (3/2)(z)=sqrt(z/(2pi))(1+2/z^2)-sqrt(2/(pi z))(sin(z)+cos(z)/z) (Created page with "==Theorem== The following formula holds: $$\mathbf{H}_{\frac{3}{2}}(z)=\sqrt{\dfrac{z}{2\pi}} \left( 1 + \dfrac{2}{z^2} \right)- \sqrt{\dfrac{2}{\pi z}} \left( \sin(z)+ \dfrac...") (current)
- 01:03, 21 December 2017 (diff | hist) . . (0) . . m H (1/2)(z)=sqrt(2/(pi z))(1-cos(z)) (Tom moved page H (1/2)(z)=(2/(pi z))^(1/2)(1-cos(z)) to H (1/2)(z)=sqrt(2/(pi z))(1-cos(z))) (current)
- 01:03, 21 December 2017 (diff | hist) . . (+49) . . N H (1/2)(z)=(2/(pi z))^(1/2)(1-cos(z)) (Tom moved page H (1/2)(z)=(2/(pi z))^(1/2)(1-cos(z)) to H (1/2)(z)=sqrt(2/(pi z))(1-cos(z))) (current)
- 01:03, 21 December 2017 (diff | hist) . . (+543) . . N H (1/2)(z)=sqrt(2/(pi z))(1-cos(z)) (Created page with "==Theorem== The following formula holds: $$\mathbf{H}_{\frac{1}{2}}(z) = \sqrt{\dfrac{2}{\pi z}}(1-\cos(z)),$$ where $\mathbf{H}_{\frac{1}{2}}$ denotes a Struve function,...")
- 00:59, 21 December 2017 (diff | hist) . . (+466) . . N H (-(n+1/2))(z)=(-1)^n J (n+1/2)(z) for integer n geq 0 (Created page with "==Theorem== If $n \geq 0$ is an integer, then $$\mathbf{H}_{-(n+\frac{1}{2})}(z) = (-1)^n J_{n+\frac{1}{2}}(z),$$ where $\mathbf{H}$ denotes a Struve function and $J$ deno...")
- 00:57, 21 December 2017 (diff | hist) . . (+55) . . H (nu)(x) geq 0 for x gt 0 and nu geq 1/2 (current)
- 00:56, 21 December 2017 (diff | hist) . . (+423) . . N H (nu)(x) geq 0 for x gt 0 and nu geq 1/2 (Created page with "==Theorem== The following formula holds for $x>0$ and $\nu \geq \dfrac{1}{2}$: $$\mathbf{H}_{\nu}(x) \geq 0,$$ where $\mathbf{H}$ denotes a Struve function. ==Proof== ==...")
- 00:55, 21 December 2017 (diff | hist) . . (+525) . . N D/dz(z^(-nu)H (nu))=1/(sqrt(pi)2^(nu)Gamma(nu+3/2))-z^(-nu)H (nu+1) (Created page with "==Theorem== The following formula holds: $$\dfrac{\mathrm{d}}{\mathrm{d}z} \left[ z^{-\nu}\mathbf{H}_{\nu}(z) \right] = \dfrac{1}{\sqrt{\pi}2^{\nu}\Gamma(\nu+\frac{3}{2})} - z...") (current)
- 00:51, 21 December 2017 (diff | hist) . . (-34) . . Derivative of Struve H0 (current)
- 00:50, 21 December 2017 (diff | hist) . . (0) . . m D/dz(z^(nu)H (nu))=z^(nu)H (nu-1) (Tom moved page D/dz(z^(-nu)H (nu))=1/(sqrt(pi)2^(nu)Gamma(nu+3/2))-z^(-nu)H (nu+1) to D/dz(z^(nu)H (nu))=z^(nu)H (nu-1) without leaving a redirect) (current)
(newest | oldest) View (newer 50 | older 50) (20 | 50 | 100 | 250 | 500)
