User contributions
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- 04:47, 21 December 2017 (diff | hist) . . (-18) . . Elliptic K
- 03:37, 21 December 2017 (diff | hist) . . (+9) . . Laplace transform (current)
- 03:27, 21 December 2017 (diff | hist) . . (+2) . . Laplace transform
- 03:23, 21 December 2017 (diff | hist) . . (+1) . . Laplace transform
- 02:41, 21 December 2017 (diff | hist) . . (+1) . . Li 2(z)+Li 2(1-z)=pi^2/6-log(z)log(1-z) (current)
- 02:40, 21 December 2017 (diff | hist) . . (+515) . . N Li 2(z)+Li 2(1-z)=pi^2/6-log(z)log(1-z) (Created page with "==Theorem== The following formula holds: $$\mathrm{Li}_2(z)+\mathrm{Li}_2(1-z)=\dfrac{\pi^2}{6} - \log(z)\log(1-z),$$ where $\mathrm{Li}_2$ denotes the dilogarithm, $\pi$...")
- 02:33, 21 December 2017 (diff | hist) . . (+33) . . Dilogarithm (→References)
- 02:27, 21 December 2017 (diff | hist) . . (+37) . . Book:Milton Abramowitz/Handbook of mathematical functions
- 02:26, 21 December 2017 (diff | hist) . . (+293) . . Dilogarithm
- 01:58, 21 December 2017 (diff | hist) . . (+104) . . Euler totient (→Videos) (current)
- 01:09, 21 December 2017 (diff | hist) . . (+284) . . Struve function (current)
- 01:08, 21 December 2017 (diff | hist) . . (+40) . . Book:Milton Abramowitz/Handbook of mathematical functions
- 01:07, 21 December 2017 (diff | hist) . . (-16) . . Book:Milton Abramowitz/Handbook of mathematical functions
- 01:05, 21 December 2017 (diff | hist) . . (-2) . . H (-(n+1/2))(z)=(-1)^n J (n+1/2)(z) for integer n geq 0 (current)
- 01:05, 21 December 2017 (diff | hist) . . (+563) . . N H (3/2)(z)=sqrt(z/(2pi))(1+2/z^2)-sqrt(2/(pi z))(sin(z)+cos(z)/z) (Created page with "==Theorem== The following formula holds: $$\mathbf{H}_{\frac{3}{2}}(z)=\sqrt{\dfrac{z}{2\pi}} \left( 1 + \dfrac{2}{z^2} \right)- \sqrt{\dfrac{2}{\pi z}} \left( \sin(z)+ \dfrac...") (current)
- 01:03, 21 December 2017 (diff | hist) . . (0) . . m H (1/2)(z)=sqrt(2/(pi z))(1-cos(z)) (Tom moved page H (1/2)(z)=(2/(pi z))^(1/2)(1-cos(z)) to H (1/2)(z)=sqrt(2/(pi z))(1-cos(z))) (current)
- 01:03, 21 December 2017 (diff | hist) . . (+49) . . N H (1/2)(z)=(2/(pi z))^(1/2)(1-cos(z)) (Tom moved page H (1/2)(z)=(2/(pi z))^(1/2)(1-cos(z)) to H (1/2)(z)=sqrt(2/(pi z))(1-cos(z))) (current)
- 01:03, 21 December 2017 (diff | hist) . . (+543) . . N H (1/2)(z)=sqrt(2/(pi z))(1-cos(z)) (Created page with "==Theorem== The following formula holds: $$\mathbf{H}_{\frac{1}{2}}(z) = \sqrt{\dfrac{2}{\pi z}}(1-\cos(z)),$$ where $\mathbf{H}_{\frac{1}{2}}$ denotes a Struve function,...")
- 00:59, 21 December 2017 (diff | hist) . . (+466) . . N H (-(n+1/2))(z)=(-1)^n J (n+1/2)(z) for integer n geq 0 (Created page with "==Theorem== If $n \geq 0$ is an integer, then $$\mathbf{H}_{-(n+\frac{1}{2})}(z) = (-1)^n J_{n+\frac{1}{2}}(z),$$ where $\mathbf{H}$ denotes a Struve function and $J$ deno...")
- 00:57, 21 December 2017 (diff | hist) . . (+55) . . H (nu)(x) geq 0 for x gt 0 and nu geq 1/2 (current)
- 00:56, 21 December 2017 (diff | hist) . . (+423) . . N H (nu)(x) geq 0 for x gt 0 and nu geq 1/2 (Created page with "==Theorem== The following formula holds for $x>0$ and $\nu \geq \dfrac{1}{2}$: $$\mathbf{H}_{\nu}(x) \geq 0,$$ where $\mathbf{H}$ denotes a Struve function. ==Proof== ==...")
- 00:55, 21 December 2017 (diff | hist) . . (+525) . . N D/dz(z^(-nu)H (nu))=1/(sqrt(pi)2^(nu)Gamma(nu+3/2))-z^(-nu)H (nu+1) (Created page with "==Theorem== The following formula holds: $$\dfrac{\mathrm{d}}{\mathrm{d}z} \left[ z^{-\nu}\mathbf{H}_{\nu}(z) \right] = \dfrac{1}{\sqrt{\pi}2^{\nu}\Gamma(\nu+\frac{3}{2})} - z...") (current)
- 00:51, 21 December 2017 (diff | hist) . . (-34) . . Derivative of Struve H0 (current)
- 00:50, 21 December 2017 (diff | hist) . . (0) . . m D/dz(z^(nu)H (nu))=z^(nu)H (nu-1) (Tom moved page D/dz(z^(-nu)H (nu))=1/(sqrt(pi)2^(nu)Gamma(nu+3/2))-z^(-nu)H (nu+1) to D/dz(z^(nu)H (nu))=z^(nu)H (nu-1) without leaving a redirect) (current)
- 00:50, 21 December 2017 (diff | hist) . . (+484) . . N D/dz(z^(nu)H (nu))=z^(nu)H (nu-1) (Created page with "==Theorem== The following formula holds: $$\dfrac{\mathrm{d}}{\mathrm{d}z} \left[ z^{\nu}\mathbf{H}_{\nu}(z) \right]=z^{\nu}\mathbf{H}_{\nu-1}(z),$$ where $\mathbf{H}$ denotes...")
- 00:47, 21 December 2017 (diff | hist) . . (+17) . . Derivative of Struve H0
- 00:47, 21 December 2017 (diff | hist) . . (+78) . . Struve function (→Properties)
- 01:50, 20 December 2017 (diff | hist) . . (-22) . . Main Page
- 01:49, 20 December 2017 (diff | hist) . . (0) . . Clausen cosine
- 01:46, 20 December 2017 (diff | hist) . . (+297) . . N Unsigned Lah numbers (Created page with "The unsigned Lah numbers $L(n,k)$ are defined by $$L(n,k)={{n-1} \choose {k-1}} \dfrac{n!}{k!},$$ where ${{n-1} \choose {k-1}}$ denotes a binomial coefficient and $n!$ den...") (current)
- 01:46, 20 December 2017 (diff | hist) . . (+7) . . Signed Lah numbers (current)
- 01:46, 20 December 2017 (diff | hist) . . (+43) . . Signed Lah numbers
- 01:45, 20 December 2017 (diff | hist) . . (+254) . . N Signed Lah numbers (Created page with "The signed Lah numbers $L(n,k)$ are defined by $$L(n,k)={{n-1} \choose {k-1}} \dfrac{n!}{k!},$$ where ${{n-1} \choose {k-1}}$ denotes a binomial coefficient and $n!$ denot...")
- 01:44, 20 December 2017 (diff | hist) . . (+38) . . Main Page (→Special sequences)
- 01:32, 20 December 2017 (diff | hist) . . (+250) . . N Matrix exponential (Created page with "The $n$-dimensional matrix exponential $\exp_n \colon \mathbb{R}^{n \times n} \rightarrow \mathbb{R}^{n \times n}$ is defined by $$\exp_n(X)=\displaystyle\sum_{k=0}^{\infty} \...")
- 01:29, 20 December 2017 (diff | hist) . . (+245) . . N C n^(lambda)'(x)=2lambda C (n+1)^(lambda+1)(x) (Created page with "==Theorem== The following formula holds: $$\dfrac{\mathrm{d}}{\mathrm{d}x} C_n^{\lambda}(x)=2\lambda C_{n+1}^{\lambda+1}(x),$$ where $C_n^{\lambda}$ denotes Gegenbauer C....") (current)
- 01:29, 20 December 2017 (diff | hist) . . (-5) . . Gegenbauer C (→Properties) (current)
- 01:28, 20 December 2017 (diff | hist) . . (-207) . . Gegenbauer C
- 01:28, 20 December 2017 (diff | hist) . . (+260) . . N NC n^(lambda)(x)=(n-1+2lambda)xC (n-1)^(lambda)(x)-2lambda(1-x^2)C (n-2)^(lambda-1)(x) (Created page with "==Theorem== The following formula holds: $$nC_n^{\lambda}(x) = (n-1+2\lambda)xC_{n-1}^{\lambda}(x) - 2\lambda(1-x^2)C_{n-2}^{\lambda-1}(x),$$ where $C_n^{\lambda}$ denotes G...") (current)
- 01:27, 20 December 2017 (diff | hist) . . (-212) . . Gegenbauer C
- 01:26, 20 December 2017 (diff | hist) . . (+11) . . Gegenbauer C
- 01:26, 20 December 2017 (diff | hist) . . (+13) . . (n+2lambda)C n^(lambda)(x)=2lambda(C n^(lambda+1)(x)-xC (n-1)^(lambda+1)(x)) (current)
- 01:26, 20 December 2017 (diff | hist) . . (+248) . . N (n+2lambda)C n^(lambda)(x)=2lambda(C n^(lambda+1)(x)-xC (n-1)^(lambda+1)(x)) (Created page with "==Theorem== The following formula holds: $$(n+2\lambda)C_n^{\lambda}(x) = 2\lambda(C_n^{\lambda+1}(x)-xC_{n-1}^{\lambda+1}(x)),$$ where $C_n^{\lambda}$ denotes [[Gegenbauer C]...")
- 01:25, 20 December 2017 (diff | hist) . . (-211) . . Gegenbauer C (→Properties)
- 01:24, 20 December 2017 (diff | hist) . . (+11) . . Gegenbauer C
- 23:49, 19 December 2017 (diff | hist) . . (+1) . . Gegenbauer C (→Properties)
- 23:48, 19 December 2017 (diff | hist) . . (0) . . m NC n^(lambda)(x)=2lambda(xC (n-1)^(lambda+1)(x)-C (n-2)^(lambda+1)(x)) (Tom moved page NC n^(lambda)(x)=2lambda(xC (n-1)^(lambda+1)(x)-C (n-2)^(lambda+1)(x) to NC n^(lambda)(x)=2lambda(xC (n-1)^(lambda+1)(x)-C (n-2)^(lambda+1)(x))) (current)
- 23:48, 19 December 2017 (diff | hist) . . (+84) . . N NC n^(lambda)(x)=2lambda(xC (n-1)^(lambda+1)(x)-C (n-2)^(lambda+1)(x) (Tom moved page NC n^(lambda)(x)=2lambda(xC (n-1)^(lambda+1)(x)-C (n-2)^(lambda+1)(x) to NC n^(lambda)(x)=2lambda(xC (n-1)^(lambda+1)(x)-C (n-2)^(lambda+1)(x))) (current)
- 23:48, 19 December 2017 (diff | hist) . . (+243) . . N NC n^(lambda)(x)=2lambda(xC (n-1)^(lambda+1)(x)-C (n-2)^(lambda+1)(x)) (Created page with "==Theorem== The following formula holds: $$nC_n^{\lambda}(x) = 2\lambda(xC_{n-1}^{\lambda+1}(x) - C_{n-2}^{\lambda+1}(x)),$$ where $C_n^{\lambda}$ denotes Gegenbauer C. =...")
- 23:47, 19 December 2017 (diff | hist) . . (-213) . . Gegenbauer C (→Properties)
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