User contributions
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- 18:28, 23 September 2014 (diff | hist) . . (+75) . . Secant zeta function
- 18:27, 23 September 2014 (diff | hist) . . (+71) . . N Secant zeta function (Created page with "=References= [http://arxiv.org/pdf/1304.3922.pdf Secant zeta functions]")
- 18:26, 23 September 2014 (diff | hist) . . (+31) . . Main Page
- 06:08, 23 September 2014 (diff | hist) . . (+920) . . Gamma
- 05:58, 23 September 2014 (diff | hist) . . (+6) . . Main Page (→Tools from calculus)
- 05:58, 23 September 2014 (diff | hist) . . (+25) . . Main Page (→Tools from calculus)
- 05:55, 23 September 2014 (diff | hist) . . (+144) . . Gamma
- 05:55, 23 September 2014 (diff | hist) . . (+49) . . Apéry's constant
- 05:55, 23 September 2014 (diff | hist) . . (+410) . . Gamma (→Properties)
- 05:49, 23 September 2014 (diff | hist) . . (+641) . . N Apéry's constant (Created page with "Apéry's constant is the value $\zeta(3)$, where $\zeta$ denotes the Riemann zeta function. This constant is notable because it is known in general that for integers $n$,...")
- 02:18, 23 September 2014 (diff | hist) . . (0) . . Q-Pochhammer
- 02:15, 23 September 2014 (diff | hist) . . (+156) . . N Q-Hermite polynomial (Created page with "=References= [http://arxiv.org/pdf/1101.2875v4.pdf On the $q$-Hermite polynomials and their relationship with some other families of orthogonal polynomials]")
- 02:14, 23 September 2014 (diff | hist) . . (+56) . . Main Page (→Special functions)
- 17:27, 21 September 2014 (diff | hist) . . (+143) . . N E (Created page with "The number $e$ can be defined in the following way: let $f$ be the unique solution of the initial value problem $$y'=y;y(0)=1,$$ then $e=f(1)$.")
- 17:26, 21 September 2014 (diff | hist) . . (+308) . . Fransén–Robinson constant
- 17:05, 21 September 2014 (diff | hist) . . (+147) . . N Fransén–Robinson constant (Created page with "The Fransén–Robinson constant is defined to be the number $F$ given by the formula $$F = \displaystyle\int_0^{\infty} \dfrac{1}{\Gamma(x)} dx.$$")
- 17:05, 21 September 2014 (diff | hist) . . (+39) . . Main Page (→Special constants)
- 11:01, 21 September 2014 (diff | hist) . . (+1) . . Gamma
- 11:01, 21 September 2014 (diff | hist) . . (+337) . . Gamma (→Properties)
- 03:49, 14 September 2014 (diff | hist) . . (+220) . . Hermite (probabilist)
- 01:34, 14 September 2014 (diff | hist) . . (+943) . . Hermite (probabilist)
- 01:30, 14 September 2014 (diff | hist) . . (+4) . . Hermite (probabilist)
- 01:29, 14 September 2014 (diff | hist) . . (+308) . . N Hermite (probabilist) (Created page with "<div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>Theorem:</strong> The Hermite polynomials $H_n$ satisfy the Rodrigues' formula $$H_n(t) = (-1)...")
- 01:27, 14 September 2014 (diff | hist) . . (+29) . . Main Page
- 04:54, 12 September 2014 (diff | hist) . . (-1) . . Main Page (→Special functions)
- 03:08, 12 September 2014 (diff | hist) . . (+180) . . N Prime counting (Created page with "The prime counting function $\pi \colon \mathbb{R} \rightarrow \mathbb{Z}^+$ is defined by the formula $$\pi(x) = \{\mathrm{number \hspace{2pt} of \hspace{2pt} primes} \leq x...")
- 03:07, 12 September 2014 (diff | hist) . . (+34) . . Main Page (→Special functions)
- 02:59, 12 September 2014 (diff | hist) . . (+24) . . Main Page (→Special functions)
- 10:20, 10 September 2014 (diff | hist) . . (+124) . . N Lambert W (Created page with "Let $z \in \mathbb{C}$ and define the Lambert $W$ function by the relation $z=W(z)e^{W(z)}$. This function has two branches.")
- 20:22, 31 August 2014 (diff | hist) . . (-3) . . Main Page (→Other)
- 20:22, 31 August 2014 (diff | hist) . . (+118) . . Main Page
- 00:55, 29 August 2014 (diff | hist) . . (+28) . . Q-Bessel functions
- 00:55, 29 August 2014 (diff | hist) . . (+22) . . Main Page (→Special functions)
- 00:53, 29 August 2014 (diff | hist) . . (+40) . . Main Page (→Special functions)
- 00:53, 29 August 2014 (diff | hist) . . (+706) . . N Q-Bessel functions (Created page with "The three Jackson $q$-Bessel functions are $$J_{\nu}^{(1)}(x;q) = \dfrac{(q^{\nu+1};q)_{\infty}}{(q;q)_{\infty}} \left( \dfrac{x}{2} \right)^{\nu} {}_2\Phi_1\left(0,0;q^{\nu+1...")
- 05:35, 3 August 2014 (diff | hist) . . (+27) . . Main Page (→Special constants)
- 01:00, 3 August 2014 (diff | hist) . . (+282) . . Airy Bi
- 00:58, 3 August 2014 (diff | hist) . . (+100) . . N Airy Bi (Created page with "The Airy functions $\mathrm{Ai}$ and $\mathrm{Bi}$ solve the differential equation $$y'' - xy = 0.$$")
- 00:57, 3 August 2014 (diff | hist) . . (+324) . . N Exponential (Created page with "Let $a$ be constant. Exponential functions are of the form $$f(x)=a^x.$$ The most commonly used exponential function is $e^x$, where $e$ is the E | base of the natural logar...")
- 00:55, 3 August 2014 (diff | hist) . . (+31) . . Main Page (→Special functions)
- 00:55, 3 August 2014 (diff | hist) . . (+293) . . Main Page
- 00:49, 3 August 2014 (diff | hist) . . (+6) . . Ihara zeta function (→References)
- 00:49, 3 August 2014 (diff | hist) . . (+157) . . Ihara zeta function (→References)
- 00:46, 3 August 2014 (diff | hist) . . (+104) . . N Euler product (Created page with "An Euler product is a way to represent a Dirichlet series as an infinite product over prime numbers.")
- 00:45, 3 August 2014 (diff | hist) . . (+330) . . Riemann zeta
- 00:42, 3 August 2014 (diff | hist) . . (+4) . . Ihara zeta function
- 00:42, 3 August 2014 (diff | hist) . . (+568) . . N Ihara zeta function (Created page with "Let $X$ be a finite graph. The Ihara zeta function is given by the formula $$\zeta_X(t) = \displaystyle\prod_{[C]} \dfrac{1}{1-t^{|C|}},$$ where $[C]$ is the set of equiva...")
- 00:37, 3 August 2014 (diff | hist) . . (+30) . . Main Page (→Special functions)
- 11:03, 28 July 2014 (diff | hist) . . (+41) . . Main Page (→Special functions)
- 22:51, 27 July 2014 (diff | hist) . . (+24) . . Main Page (→Special functions)
- 22:50, 27 July 2014 (diff | hist) . . (+9) . . Dedekind eta
- 18:43, 27 July 2014 (diff | hist) . . (+33) . . Main Page (→Special functions)
- 18:41, 27 July 2014 (diff | hist) . . (-58) . . Q-Binomial
- 18:41, 27 July 2014 (diff | hist) . . (+789) . . Q-Binomial (→Properties)
- 18:32, 27 July 2014 (diff | hist) . . (-74) . . Q-Binomial (→Properties)
- 18:32, 27 July 2014 (diff | hist) . . (+411) . . Q-Binomial
- 18:21, 27 July 2014 (diff | hist) . . (0) . . Main Page (→Special functions)
- 18:20, 27 July 2014 (diff | hist) . . (+104) . . N Q-Binomial (Created page with "$${n \brack m}_q = \dfrac{(q;q)_n}{(q;q)m(q;q)_{n-m}},$$ where $(q;q)_k$ is the q-Pochhammer symbol.")
- 18:18, 27 July 2014 (diff | hist) . . (+1) . . Main Page (→Special functions)
- 18:17, 27 July 2014 (diff | hist) . . (0) . . Q-factorial
- 18:17, 27 July 2014 (diff | hist) . . (+189) . . N Q-factorial (Created page with "The $q$-Factorial is defined for a non-negative integer $k$ by $$[k]_q!=1(1+q)(1+q+q^2)\ldots(1+q+\ldots+q^{k-1})=\dfrac{(q;q)_k}{(1-q)^k},$$ where $(q;q)_k$ is the q-Pochha...")
- 18:14, 27 July 2014 (diff | hist) . . (+38) . . Main Page (→Special functions)
- 18:12, 27 July 2014 (diff | hist) . . (+1) . . Main Page
- 18:09, 27 July 2014 (diff | hist) . . (+608) . . N Format notes (Created page with "This is a list of common code templates and styles we use at specialfunctionswiki. =Theorem/proof box template= The code <pre><div class="toccolours mw-collapsible mw-collaps...")
- 18:08, 27 July 2014 (diff | hist) . . (+15) . . MediaWiki:Sidebar
- 18:08, 27 July 2014 (diff | hist) . . (-14) . . MediaWiki:Sidebar
- 18:08, 27 July 2014 (diff | hist) . . (+188) . . N MediaWiki:Sidebar (Created page with " * navigation ** mainpage|mainpage-description ** recentchanges-url|recentchanges ** randompage-url|randompage ** formatnotes | Format Notes ** helppage|help * SEARCH * TOOLBO...")
- 18:06, 27 July 2014 (diff | hist) . . (+52) . . Main Page (→Special functions)
- 08:02, 27 July 2014 (diff | hist) . . (+284) . . Main Page (→Special functions)
- 07:58, 27 July 2014 (diff | hist) . . (+176) . . Main Page (→Special functions)
- 07:56, 27 July 2014 (diff | hist) . . (-1) . . Partition
- 07:55, 27 July 2014 (diff | hist) . . (+374) . . N Partition (Created page with "Let $n$ be an integer. Let $p(0)=1$ and let $p(n)=0$ for negative $n$. For positive $n$, the partition function $p(n)$ is the number of possible partitions of a number $n$ int...")
- 07:52, 27 July 2014 (diff | hist) . . (+63) . . Main Page (→Special functions)
- 07:51, 27 July 2014 (diff | hist) . . (+27) . . Main Page (→Special functions)
- 07:51, 27 July 2014 (diff | hist) . . (+44) . . Main Page (→Special functions)
- 07:34, 27 July 2014 (diff | hist) . . (+20) . . Main Page (→Special functions)
- 07:33, 27 July 2014 (diff | hist) . . (+27) . . Main Page (→Special functions)
- 07:32, 27 July 2014 (diff | hist) . . (+26) . . Main Page (→Special functions)
- 07:32, 27 July 2014 (diff | hist) . . (+275) . . Sine (→Properties)
- 07:31, 27 July 2014 (diff | hist) . . (+419) . . N Sine (Created page with "The sine function, usually written $\sin$, is the solution of the second order initial value problem $y''=-y;y(0)=0$. =Properties= <div class="toccolours mw-collapsible mw-co...")
- 07:27, 27 July 2014 (diff | hist) . . (-1) . . Error function
- 07:27, 27 July 2014 (diff | hist) . . (+81) . . N Error function (Created page with "$$\mathrm{erf}(x)=\dfrac{2}{\sqrt{\pi}}\displaystyle\int_0^x e^{-\tau^2} d\tau.$$")
- 07:26, 27 July 2014 (diff | hist) . . (+25) . . Main Page (→Special functions)
- 07:26, 27 July 2014 (diff | hist) . . (+537) . . Gamma
- 07:24, 27 July 2014 (diff | hist) . . (-10) . . Main Page (→Special functions)
- 07:22, 27 July 2014 (diff | hist) . . (+1,473) . . Q-Gamma
- 07:12, 27 July 2014 (diff | hist) . . (+144) . . Q-Pochhammer
- 07:08, 27 July 2014 (diff | hist) . . (+273) . . N Q-Gamma (Created page with "Let $0<q<1$. Define $$\Gamma_q(x) = \dfrac{(q;q)_{\infty}}{(q^x;q)_{\infty}}(1-q)^{1-x},$$ where $(\cdot;\cdot)_{\infty}$ denotes the q-Pochhammer symbol. =References= As...")
- 07:05, 27 July 2014 (diff | hist) . . (+74) . . Q-Pochhammer
- 07:02, 27 July 2014 (diff | hist) . . (+6) . . Main Page (→Special functions)
- 07:02, 27 July 2014 (diff | hist) . . (+110) . . Main Page (→Special functions)
- 06:12, 27 July 2014 (diff | hist) . . (+52) . . Main Page (→Special functions)
- 05:15, 27 July 2014 (diff | hist) . . (+1,386) . . Gamma
- 05:06, 27 July 2014 (diff | hist) . . (+24) . . Main Page (→Special functions)
- 05:03, 27 July 2014 (diff | hist) . . (+17) . . Main Page (→Special functions)
- 05:03, 27 July 2014 (diff | hist) . . (+39) . . Main Page (→Special functions)
- 04:24, 27 July 2014 (diff | hist) . . (+123) . . Riemann zeta
- 04:08, 27 July 2014 (diff | hist) . . (+198) . . N Dirichlet eta (Created page with "Let $\mathrm{Re} \hspace{2pt} z > 0$, then define $$\eta(z) = \displaystyle\sum_{n=1}^{\infty} \dfrac{(-1)^{n-1}}{n^s}.$$ This series is clearly the Riemann zeta function...")
- 04:06, 27 July 2014 (diff | hist) . . (+33) . . Main Page (→Special functions)
- 04:05, 27 July 2014 (diff | hist) . . (+152) . . N Dedekind eta (Created page with "Let $q=e^{2\pi i t}$. We define the Dedekind eta function by the formula $$\eta(t) = e^{\frac{\pi i t}{12}} \displaystyle\prod_{n=1}^{\infty} (1-q^n).$$")
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