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- 17:14, 23 June 2016 (diff | hist) . . (+154) . . N Darboux function is nowhere differentiable (Created page with "==Theorem== The Darboux function is nowhere differentiable on $\mathbb{R}$. ==Proof== ==References== Category:Theorem Category:Unproven") (current)
- 17:14, 23 June 2016 (diff | hist) . . (+4) . . Darboux function is continuous (current)
- 17:14, 23 June 2016 (diff | hist) . . (+138) . . N Darboux function is continuous (Created page with "==Theorem== The Darboux function is continuous on $\mathbb{R}$. ==Proof== ==References== Category:Theorem Category:Unproven")
- 17:13, 23 June 2016 (diff | hist) . . (-349) . . Darboux function
- 17:12, 23 June 2016 (diff | hist) . . (+141) . . N Cellérier function is nowhere differentiable (Created page with "==Theorem== The Cellérier function is nowhere differentiable. ==Proof== ==References== Category:Theorem Category:Unproven") (current)
- 17:12, 23 June 2016 (diff | hist) . . (+129) . . N Cellérier function is continuous (Created page with "==Theorem== The Cellérier function is continuous. ==Proof== ==References== Category:Theorem Category:Unproven") (current)
- 17:11, 23 June 2016 (diff | hist) . . (-304) . . Cellérier function (current)
- 17:11, 23 June 2016 (diff | hist) . . (+138) . . N Bolzano function is nowhere differentiable (Created page with "==Theorem== The Bolzano function is nowhere differentiable. ==Proof== ==References== Category:Theorem Category:Unproven") (current)
- 17:10, 23 June 2016 (diff | hist) . . (-163) . . Bolzano function (current)
- 17:10, 23 June 2016 (diff | hist) . . (-11) . . Bolzano function is continuous (current)
- 17:10, 23 June 2016 (diff | hist) . . (+137) . . N Bolzano function is continuous (Created page with "==Theorem== The Bolzano function is everywhere continuous. ==Proof== ==References== Category:Theorem Category:Unproven")
- 17:10, 23 June 2016 (diff | hist) . . (-173) . . Bolzano function (→Properties)
- 17:04, 23 June 2016 (diff | hist) . . (+104) . . Book:Arthur Erdélyi/Higher Transcendental Functions Volume II (→Contents)
- 17:03, 23 June 2016 (diff | hist) . . (+2) . . Bessel J
- 17:03, 23 June 2016 (diff | hist) . . (+121) . . Bessel J
- 15:59, 23 June 2016 (diff | hist) . . (+16) . . Book:Arthur Erdélyi/Higher Transcendental Functions Volume I
- 15:59, 23 June 2016 (diff | hist) . . (-7) . . Book:Arthur Erdélyi/Higher Transcendental Functions Volume I (→Contents)
- 15:58, 23 June 2016 (diff | hist) . . (+3) . . Book:Arthur Erdélyi/Higher Transcendental Functions Volume I (→Contents)
- 15:58, 23 June 2016 (diff | hist) . . (+7) . . Book:Arthur Erdélyi/Higher Transcendental Functions Volume I (→Contents)
- 15:57, 23 June 2016 (diff | hist) . . (+26) . . Book:Arthur Erdélyi/Higher Transcendental Functions Volume I (→Contents)
- 15:57, 23 June 2016 (diff | hist) . . (+6) . . Digamma at z+n
- 15:56, 23 June 2016 (diff | hist) . . (+384) . . N Digamma at z+n (Created page with "==Theorem== The following formula holds for $n=1,2,3,\ldots$: $$\psi(z+n)=\dfrac{1}{z} + \dfrac{1}{z+1} + \ldots + \dfrac{1}{z+n-1} + \psi(z),$$ where $\psi$ denotes the dig...")
- 15:55, 23 June 2016 (diff | hist) . . (+8) . . Digamma at n+1
- 15:54, 23 June 2016 (diff | hist) . . (+17) . . Book:Arthur Erdélyi/Higher Transcendental Functions Volume I
- 15:53, 23 June 2016 (diff | hist) . . (+352) . . N Digamma at 1 (Created page with "==Theorem== The following formula holds: $$\psi(1)=-\gamma,$$ where $\psi$ denotes the digamma function and $\gamma$ denotes the Euler-Mascheroni constant. ==Proof==...")
- 15:52, 23 June 2016 (diff | hist) . . (+93) . . Digamma
- 15:51, 23 June 2016 (diff | hist) . . (+117) . . Book:Arthur Erdélyi/Higher Transcendental Functions Volume I (→Contents)
- 15:50, 23 June 2016 (diff | hist) . . (+1) . . Book:Arthur Erdélyi/Higher Transcendental Functions Volume II
- 15:49, 23 June 2016 (diff | hist) . . (+58) . . Harmonic number
- 15:48, 23 June 2016 (diff | hist) . . (+481) . . N Digamma at n+1 (Created page with "==Theorem== The following formula holds: $$\psi(n+1)=1+\dfrac{1}{2}+\dfrac{1}{3}+\ldots+\dfrac{1}{n} - \gamma=H_n - \gamma,$$ where $\psi$ denotes the digamma function and...")
- 15:47, 23 June 2016 (diff | hist) . . (+319) . . N Digamma functional equation (Created page with "==Theorem== The following formula holds: $$\psi(z)=\psi(z+1)-\dfrac{1}{z},$$ where $\psi$ denotes the digamma function. ==Proof== ==References== * {{BookReference|Higher...")
- 15:45, 23 June 2016 (diff | hist) . . (+63) . . Digamma
- 15:44, 23 June 2016 (diff | hist) . . (-1,637) . . Digamma
- 15:41, 23 June 2016 (diff | hist) . . (+115) . . Book:Arthur Erdélyi/Higher Transcendental Functions Volume I (→Contents)
- 15:40, 23 June 2016 (diff | hist) . . (+377) . . N Beta as product of gamma functions (Created page with "==Theorem== The following formula holds: $$B(x,y)=\dfrac{\Gamma(x)\Gamma(y)}{\Gamma(x+y)},$$ where $B$ denotes the beta function and $\Gamma$ denotes the gamma functio...")
- 15:39, 23 June 2016 (diff | hist) . . (+34) . . Beta is symmetric
- 15:38, 23 June 2016 (diff | hist) . . (+283) . . N Beta is symmetric (Created page with "==Theorem== The following formula holds: $$B(x,y)=B(y,x),$$ where $B$ denotes the beta function. ==Proof== ==References== * {{BookReference|Higher Transcendental Functio...")
- 15:37, 23 June 2016 (diff | hist) . . (+28) . . Beta (→Properties)
- 15:36, 23 June 2016 (diff | hist) . . (+393) . . N Beta as improper integral (Created page with "==Theorem== The following formula holds for $\mathrm{Re}(x)>0$ and $\mathrm{Re}(y)>0$: $$B(x,y)=\displaystyle\int_0^{\infty} \xi^{x-1}(1+\xi)^{-x-y} \mathrm{d}\xi,$$ where $B$...")
- 15:35, 23 June 2016 (diff | hist) . . (+19) . . Beta
- 15:35, 23 June 2016 (diff | hist) . . (+36) . . Beta
- 15:34, 23 June 2016 (diff | hist) . . (+15) . . Book:Arthur Erdélyi/Higher Transcendental Functions Volume I (→Contents)
- 15:34, 23 June 2016 (diff | hist) . . (+105) . . Beta
- 15:32, 23 June 2016 (diff | hist) . . (-123) . . Beta in terms of gamma
- 15:32, 23 June 2016 (diff | hist) . . (-136) . . Partial derivative of beta function (current)
- 06:43, 22 June 2016 (diff | hist) . . (+321) . . N Ramanujan's sum (Created page with "Ramanujan's sum $c_q$ is defined for positive integers $q$ and $n$ by $$c_q(n)=\displaystyle\sum_{a=1,(a,q)=1}^{q} \exp \left( \frac{2 \pi i a n}{q} \right),$$ where $(a,q)$ d...") (current)
- 06:38, 22 June 2016 (diff | hist) . . (-77) . . Main Page (→Special functions in number theory)
- 06:37, 22 June 2016 (diff | hist) . . (+37) . . Euler totient
- 06:36, 22 June 2016 (diff | hist) . . (+65) . . Sum of divisors
- 06:36, 22 June 2016 (diff | hist) . . (-121) . . Riemann zeta
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