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- 21:55, 2 January 2018 (diff | hist) . . (+11) . . E(2,1)(-z^2)=cos(z) (current)
- 21:35, 2 January 2018 (diff | hist) . . (+142) . . Mittag-Leffler (current)
- 21:35, 2 January 2018 (diff | hist) . . (+182) . . Paper:H.J. Haubold/Mittag-Leffler Functions and Their Applications (current)
- 21:34, 2 January 2018 (diff | hist) . . (+13) . . E(1,1)(z)=exp(z) (current)
- 21:33, 2 January 2018 (diff | hist) . . (-25) . . E(2,1)(z)=cosh(sqrt(z)) (current)
- 21:32, 2 January 2018 (diff | hist) . . (+468) . . N E(2,1)(-z^2)=cos(z) (Created page with "==Theorem== The following formula holds for $z \in \mathbb{C}$: $$E_{2,1}(-z^2)=\cos(z),$$ where $E_{2,1}$ denotes the Mittag-Leffler function and $\cos$ denotes [[cosine]...")
- 21:31, 2 January 2018 (diff | hist) . . (+19) . . E(2,1)(z)=cosh(sqrt(z))
- 21:29, 2 January 2018 (diff | hist) . . (0) . . E(1,1)(z)=exp(z)
- 21:28, 2 January 2018 (diff | hist) . . (+484) . . N E(2,1)(z)=cosh(sqrt(z)) (Created page with "==Theorem== The following formula holds: $$E_{2,1}(z)=\cosh(\sqrt{z}),$$ where $E_{2,1}$ denotes the Mittag-Leffler function and $\cosh$ denotes cosh. ==Proof== ==Re...")
- 21:28, 2 January 2018 (diff | hist) . . (+13) . . Mittag-Leffler
- 21:27, 2 January 2018 (diff | hist) . . (+55) . . N E (0,1)(z)=1/(1-z) for (Tom moved page E (0,1)(z)=1/(1-z) for to E (0,1)(z)=1/(1-z) for abs(z) less than 1) (current)
- 21:27, 2 January 2018 (diff | hist) . . (0) . . m E (0,1)(z)=1/(1-z) for abs(z) less than 1 (Tom moved page E (0,1)(z)=1/(1-z) for to E (0,1)(z)=1/(1-z) for abs(z) less than 1) (current)
- 21:24, 2 January 2018 (diff | hist) . . (+468) . . N E(1,1)(z)=exp(z) (Created page with "==Theorem== The following formula holds: $$E_{1,1}(z)=e^z,$$ where $E_{1,1}$ denotes the Mittag-Leffler function and $e^z$ denotes the exponential. ==Proof== ==Refer...")
- 21:22, 2 January 2018 (diff | hist) . . (+432) . . N E (0,1)(z)=1/(1-z) for abs(z) less than 1 (Created page with "==Theorem== The following formula holds for $|z|<1$: $$E_{0,1}(z)=\dfrac{1}{1-z},$$ where $E_{0,1}$ denotes the Mittag-Leffler function. ==Proof== ==References== * {{Pap...")
- 21:21, 2 January 2018 (diff | hist) . . (+23) . . Mittag-Leffler
- 21:17, 2 January 2018 (diff | hist) . . (+35) . . Mittag-Leffler
- 21:13, 2 January 2018 (diff | hist) . . (+35) . . Mittag-Leffler
- 21:09, 2 January 2018 (diff | hist) . . (+141) . . Mittag-Leffler
- 21:08, 2 January 2018 (diff | hist) . . (0) . . m Paper:H.J. Haubold/Mittag-Leffler Functions and Their Applications (Tom moved page Paper:Mittag-Leffler Functions and Their Applications/H.J. Haubold to Paper:H.J. Haubold/Mittag-Leffler Functions and Their Applications)
- 21:08, 2 January 2018 (diff | hist) . . (+80) . . N Paper:Mittag-Leffler Functions and Their Applications/H.J. Haubold (Tom moved page Paper:Mittag-Leffler Functions and Their Applications/H.J. Haubold to Paper:H.J. Haubold/Mittag-Leffler Functions and Their Applications) (current)
- 17:31, 2 January 2018 (diff | hist) . . (+197) . . Paper:H.J. Haubold/Mittag-Leffler Functions and Their Applications
- 16:49, 2 January 2018 (diff | hist) . . (+146) . . N Paper:H.J. Haubold/Mittag-Leffler Functions and Their Applications (Created page with "{{Book|Mittag-Leffler Functions and Their Applications|2011|Journal of Applied Mathematics||H.J. Haubold|author2=A.M. Mathai|author3=R.K. Saxena}}")
- 16:47, 2 January 2018 (diff | hist) . . (+89) . . Mittag-Leffler
- 15:54, 2 January 2018 (diff | hist) . . (+274) . . N Mittag-Leffler (Created page with "The Mittag-Leffler function $E_{\alpha, \beta}$ is defined by the series $$E_{\alpha, \beta}(z)=\displaystyle\sum_{k=0}^{\infty} \dfrac{z^k}{\Gamma(\alpha k + \beta)},$$ where...")
- 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
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