Search results

Create the page "Function" on this wiki! See also the search results found.

Page title matches

• Sine function
  18 bytes (2 words) - 15:52, 4 October 2014
• Tangent function
  21 bytes (2 words) - 15:53, 4 October 2014
• Mobius function
  #REDIRECT [[Möbius function]]
  30 bytes (4 words) - 16:13, 4 October 2014
• Mertens function
  Merten's function is defined by the formula where $\mu$ is the [[Möbius function]].
  129 bytes (22 words) - 16:13, 4 October 2014
• Euler E generating function
  where $e^{xt}$ denotes the [[exponential function]] and $E_n$ denotes an [[Euler E]] polynomial.
  519 bytes (75 words) - 01:05, 4 March 2018
• Q-Polygamma function
  ...a functions of order $m$, $\psi_q^{(m)}$, are analogues of the [[polygamma function]] defined by ...ma_q(z).$ Here the function $\Gamma_q$ is the [[q-Gamma function|$q$-Gamma function]].
  368 bytes (60 words) - 18:56, 24 May 2016
• Q-theta function
  235 bytes (39 words) - 00:56, 19 October 2014
• Riemann zeta function
  26 bytes (3 words) - 19:40, 9 June 2016
• Dedekind zeta function
  ...finite [[field extension]] of the [[rational numbers]]. The Dedekind zeta function of $F$ is
  896 bytes (130 words) - 18:52, 24 May 2016
• Dirichlet L-function
  Let $\chi$ be a [[Dirichlet character]]. The Dirichlet $L$-function associated with $\chi$ is ...ac.uk/people/staff/mrwatkin//zeta/devlin.pdf How Euler discovered the zeta function]
  379 bytes (58 words) - 19:27, 17 November 2016
• Riemann-Siegel theta function
  The Riemann-Siegel theta function is defined by where $\Gamma$ denotes the [[Gamma function]] and $\log$ denotes the [[logarithm]].
  229 bytes (33 words) - 00:27, 21 March 2015
• Reciprocal zeta function
  ...eta function is $\dfrac{1}{\zeta(s)}$, where $\zeta$ is the [[Riemann zeta function]]. ...eta$ denotes the [[Riemann zeta function]], and $\mu$ denotes the [[Mobius function]].
  587 bytes (73 words) - 18:53, 24 May 2016
• Lefschetz zeta function
  Let $f$ be a function. The Lefschetz zeta function is
  244 bytes (44 words) - 18:52, 24 May 2016
• P-adic zeta function
  The $p$-adic zeta function is
  95 bytes (14 words) - 18:53, 24 May 2016
• Relationship between the exponential integral and upper incomplete gamma function
  ...integral E]] and $\Gamma$ denotes the [[incomplete gamma|incomplete gamma function]].
  268 bytes (36 words) - 00:16, 8 August 2016
• Partial derivative of beta function
  ...$\Gamma$ denotes the [[gamma function]], and $\psi$ denotes the [[digamma function]].
  397 bytes (62 words) - 15:32, 23 June 2016
• Arithmetic zeta function
  Let $X$ be a [[scheme]]. The arithmetic zeta function over $X$ is defined by
  166 bytes (26 words) - 18:51, 24 May 2016
• Artin-Mazur zeta function
  ...e the [[cardinality]] of the set $\mathrm{Fix}(f^n)$. The Artin-Mazur zeta function is
  441 bytes (74 words) - 18:52, 24 May 2016
• P-adic L function
  73 bytes (10 words) - 04:11, 12 April 2015
• Arakawa-Kaneko zeta function
  where $\Gamma$ denotes the [[gamma function]] and $\mathrm{Li}_k$ denotes the [[polylogarithm]]. ...$ and $\xi_k$ has [[analytic continuation]] to $\mathbb{C}$ as an [[entire function]].
  1 KB (140 words) - 17:22, 24 June 2016

Page text matches

• Error function
  The (normalized) error function $\mathrm{erf}$ is defined by where $\pi$ denotes [[pi]] and $e^{-\tau^2}$ denotes the [[exponential]] function.
  2 KB (271 words) - 00:43, 25 June 2017
• Sine
  The sine function $\sin \colon \mathbb{C} \rightarrow \mathbb{C}$ is defined by ...-theory-fall-2006/projects/chan.pdf The sine product formula and the gamma function]<br />
  2 KB (207 words) - 17:34, 1 July 2017
• Partition
  The partition function $p \colon \mathbb{Z}^+ \rightarrow \mathbb{Z}^+$ is defined so that $p(n)$ [[Generating function for partition function]]<br />
  820 bytes (109 words) - 20:50, 26 June 2016
• Format notes
  =Defining a new function= The such-and-such function $\mathrm{mathname} \colon domain \rightarrow codomain$ is defined by
  8 KB (1,248 words) - 04:48, 26 November 2016
• Q-Binomial
  The $q$-Binomial function is
  1 KB (203 words) - 18:56, 24 May 2016
• Closed form for partition function with sinh
  a [[sawtooth function]], define where $p$ denotes the [[partition]] function, $\pi$ denotes [[pi]], and $\sinh$ denotes the [[sinh|hyperbolic sine]].
  1 KB (172 words) - 20:40, 26 June 2016
• Pure recurrence relation for partition function
  ...the [[partition]] function and $\sigma_1$ denotes the [[sum of divisors]] function. ...rm for partition function with sinh|next=Recurrence relation for partition function with sum of divisors}}: $24.2.1 \mathrm{II}.A.$
  581 bytes (80 words) - 20:41, 26 June 2016
• Ihara zeta function
  Let $X$ be a finite [[graph]]. The Ihara zeta function is given by the formula ...an analogue of the [[Euler product]] representation of the [[Riemann zeta function]].
  765 bytes (122 words) - 18:52, 24 May 2016
• Exponential
  The exponential function $\exp \colon \mathbb{C} \rightarrow \mathbb{C}$ is defined by the formula [[Derivative of the exponential function]]<br />
  2 KB (327 words) - 23:37, 21 October 2017
• Airy Bi
  The Airy function $\mathrm{Bi}$ (sometimes called the "Bairy function") is a solution of the [[Airy differential equation]] which is [[linearly independent]] from the [[Airy Ai]] function.
  2 KB (216 words) - 16:07, 21 October 2017
• Lambert W
  The Lambert $W$ function is the (multi-valued) function that satisfies the equation ...om/watch?v=AJD8kh3DSAM 6: Recursion, Infinite Tetrations and the Lambert W Function (4 August 2014)]
  974 bytes (142 words) - 18:24, 16 June 2018
• Apéry's constant
  where $\zeta$ denotes the [[Riemann zeta function]]. This constant is notable because it is known in general that for integer
  682 bytes (105 words) - 17:17, 24 June 2016
• Prime counting
  The prime counting function $\pi \colon \mathbb{R} \rightarrow \mathbb{Z}^+$ is defined by the formula
  600 bytes (82 words) - 06:35, 22 June 2016
• Hermite (probabilist)
  ...a sequence of [[Orthogonal polynomial|orthogonal polynomials]] with weight function $e^{-\frac{x^2}{2}}$. <strong>Theorem:</strong> ([[Generating function]]) The Hermite polynomials obey
  2 KB (228 words) - 18:41, 24 May 2016
• Fransén–Robinson constant
  where $\dfrac{1}{\Gamma}$ denotes the [[reciprocal gamma function]].
  340 bytes (46 words) - 20:17, 20 June 2016
• Beta
  The beta function $B$ (note: $B$ is [https://en.wikipedia.org/wiki/Beta capital $\beta$] in G [[Partial derivative of beta function]]<br />
  3 KB (578 words) - 19:49, 15 March 2018
• Polylogarithm
  [https://www.youtube.com/watch?v=6v60ivoC2z8 polylogarithm function]
  646 bytes (91 words) - 20:28, 25 June 2017
• Cosine
  The cosine function, $\cos \colon \mathbb{C} \rightarrow \mathbb{C}$ is defined by the formula where $e^z$ is the [[exponential function]].
  1 KB (177 words) - 22:09, 19 December 2017
• Euler-Mascheroni constant
  #the [[Barnes G]] function
  2 KB (206 words) - 20:57, 3 March 2018
• Book:Arthur Erdélyi/Higher Transcendental Functions Volume II
  ::::7.2.3. Kelvin's function and related functions
  5 KB (521 words) - 05:44, 4 March 2018

View (previous 20 | next 20) (20 | 50 | 100 | 250 | 500)