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- ...thrm{erf}$ denotes the [[error function]] (i.e. $\mathrm{erf}$ is an [[odd function]]). proving that $\mathrm{erf}$ is odd. $\blacksquare$800 bytes (116 words) - 03:41, 28 March 2017
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- ::8. Legendre's Chi-function ::6. The Multiplication Formula for Odd Multiples4 KB (409 words) - 20:56, 27 June 2016
- 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
- ...$\zeta(2n+1)$. Hence it became a notorious open problem to find $\zeta$ at odd integers.682 bytes (105 words) - 17:17, 24 June 2016
- ...a sequence of [[Orthogonal polynomial|orthogonal polynomials]] with weight function $e^{-\frac{x^2}{2}}$. <strong>Theorem:</strong> ([[Generating function]]) The Hermite polynomials obey2 KB (228 words) - 18:41, 24 May 2016
- #$\mathrm{sn \hspace{2pt}}$ is an odd function815 bytes (121 words) - 19:06, 5 July 2016
- The Möbius function is the function $\mu$ defined by the formula ...uarefree\hspace{2pt}positive\hspace{2pt}integer\hspace{2pt}with\hspace{2pt}odd\hspace{2pt}number\hspace{2pt}of\hspace{2pt}prime\hspace{2pt}factors} \\2 KB (278 words) - 23:55, 8 December 2016
- The hyperbolic sine function $\mathrm{sinh} \colon \mathbb{C} \rightarrow \mathbb{C}$ is defined by ...to-one]], its [[inverse function]] the [[arcsinh|inverse hyperbolic sine]] function is clear.2 KB (217 words) - 23:44, 21 October 2017
- where $\sin$ denotes the [[sine]] function. Using the [[Taylor series of the exponential function]] and the definition of $\sin$,1 KB (206 words) - 03:19, 1 July 2017
- The Fresnel C function is defined by the formula [[Fresnel C is odd]]<br />871 bytes (132 words) - 05:10, 21 December 2017
- The Fresnel $S$ function is defined by [[Fresnel S is odd]] <br />867 bytes (129 words) - 17:21, 5 October 2016
- where $\cos$ denotes the [[cosine]] function. Using the [[Taylor series of the exponential function]] and the definition of $\cos$,1 KB (201 words) - 03:18, 1 July 2017
- ::8. The Gamma function ::16. The Beta function7 KB (822 words) - 05:19, 21 December 2017
- The [[Airy Ai]] function ...force $f(t)e^{zt} \Bigg |_{C}=0$. We will do this by first determining the function $f$. Plugging this back into the formula $(*)$ yields5 KB (873 words) - 00:50, 13 September 2023
- ::4.1. Logarithmic Function ::4.2. Exponential Function22 KB (2,666 words) - 05:08, 21 December 2017
- [[Sum of odd indexed Fibonacci numbers]]<br /> [[Fibonacci zeta function]]<br />2 KB (362 words) - 13:12, 1 August 2018
- ...thrm{erf}$ denotes the [[error function]] (i.e. $\mathrm{erf}$ is an [[odd function]]). proving that $\mathrm{erf}$ is odd. $\blacksquare$800 bytes (116 words) - 03:41, 28 March 2017
- where $\mathrm{erf}$ denotes the [[error function]] and $\overline{z}$ denotes the [[complex conjugate]]. ...ions|1964|Milton Abramowitz|author2=Irene A. Stegun|prev=Error function is odd|next=findme}}: 7.1.10396 bytes (49 words) - 05:03, 5 June 2016
- The series defining the [[secant zeta function]] $\psi_s(z)$ converges absolutely in the following cases: # when $z=\dfrac{p}{q}$ with $q$ odd, $s>1$430 bytes (56 words) - 06:09, 16 June 2016
- The [[Fresnel S]] function is an [[odd function]].133 bytes (15 words) - 17:13, 5 October 2016
- [[Fresnel C]] is an [[odd function]].120 bytes (13 words) - 17:23, 5 October 2016
- :Chapter I. The gamma function and related functions ::1.1 The gamma function5 KB (517 words) - 22:54, 19 December 2017