/dports/math/cloog/cloog-cloog-0.20.0/test/published/CC2006/ |
H A D | swim.B.MAIN__.scop7.cloog | 2584 … 0 0 0 0 0 0 0 0 0 0 0 0 0 # Alpha & Gamma 1 2586 … 0 0 0 0 0 0 0 0 0 0 0 0 0 # Alpha & Gamma 2 2588 … 0 1 0 0 0 0 0 0 0 0 0 0 0 # Alpha & Gamma 3 2590 … 0 0 0 1 0 0 0 0 0 0 0 0 0 # Alpha & Gamma 4 2592 … 0 0 0 0 0 1 0 0 0 0 0 0 0 # Alpha & Gamma 5 2598 … 0 0 0 0 0 0 0 0 0 0 0 0 0 # Alpha & Gamma 1 2600 … 0 0 0 0 0 0 0 0 0 0 0 0 0 # Alpha & Gamma 2 2602 … 0 1 0 0 0 0 0 0 0 0 0 0 0 # Alpha & Gamma 3 2604 … 0 0 0 1 0 0 0 0 0 0 0 0 0 # Alpha & Gamma 4 2606 … 0 0 0 0 0 1 0 0 0 0 0 0 0 # Alpha & Gamma 5 [all …]
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/dports/math/cloog/cloog-cloog-0.20.0/test/urgent/ |
H A D | swim7.cloog | 2584 … 0 0 0 0 0 0 0 0 0 0 0 0 0 # Alpha & Gamma 1 2586 … 0 0 0 0 0 0 0 0 0 0 0 0 0 # Alpha & Gamma 2 2588 … 0 1 0 0 0 0 0 0 0 0 0 0 0 # Alpha & Gamma 3 2590 … 0 0 0 1 0 0 0 0 0 0 0 0 0 # Alpha & Gamma 4 2592 … 0 0 0 0 0 1 0 0 0 0 0 0 0 # Alpha & Gamma 5 2598 … 0 0 0 0 0 0 0 0 0 0 0 0 0 # Alpha & Gamma 1 2600 … 0 0 0 0 0 0 0 0 0 0 0 0 0 # Alpha & Gamma 2 2602 … 0 1 0 0 0 0 0 0 0 0 0 0 0 # Alpha & Gamma 3 2604 … 0 0 0 1 0 0 0 0 0 0 0 0 0 # Alpha & Gamma 4 2606 … 0 0 0 0 0 1 0 0 0 0 0 0 0 # Alpha & Gamma 5 [all …]
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H A D | scop7.cloog | 1405 … 0 0 0 0 0 0 0 0 0 0 0 0 0 # Alpha & Gamma 1 1407 … 0 0 0 0 0 0 0 0 0 0 0 0 0 # Alpha & Gamma 2 1409 … 0 1 0 0 0 0 0 0 0 0 0 0 0 # Alpha & Gamma 3 1411 … 0 0 0 1 0 0 0 0 0 0 0 0 0 # Alpha & Gamma 4 1413 … 0 0 0 0 0 1 0 0 0 0 0 0 0 # Alpha & Gamma 5 1419 … 0 0 0 0 0 0 0 0 0 0 0 0 0 # Alpha & Gamma 1 1421 … 0 0 0 0 0 0 0 0 0 0 0 0 0 # Alpha & Gamma 2 1423 … 0 1 0 0 0 0 0 0 0 0 0 0 0 # Alpha & Gamma 3 1425 … 0 0 0 1 0 0 0 0 0 0 0 0 0 # Alpha & Gamma 4 1427 … 0 0 0 0 0 1 0 0 0 0 0 0 0 # Alpha & Gamma 5 [all …]
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H A D | swim.cloog | 1204 … 1 0 0 0 0 0 0 0 0 0 0 0 0 # Alpha & Gamma 1 1206 … 0 0 1 0 0 0 0 0 0 0 0 0 0 # Alpha & Gamma 2 1208 … 0 0 0 0 1 0 0 0 0 0 0 0 0 # Alpha & Gamma 3 1214 … 1 0 0 0 0 0 0 0 0 0 0 0 0 # Alpha & Gamma 1 1216 … 0 0 1 0 0 0 0 0 0 0 0 0 0 # Alpha & Gamma 2 1218 … 0 0 0 0 1 0 0 0 0 0 0 0 0 # Alpha & Gamma 3 1224 … 1 0 0 0 0 0 0 0 0 0 0 0 0 # Alpha & Gamma 1 1226 … 0 0 1 0 0 0 0 0 0 0 0 0 0 # Alpha & Gamma 2 1228 … 0 0 0 0 1 0 0 0 0 0 0 0 0 # Alpha & Gamma 3 1234 … 1 0 0 0 0 0 0 0 0 0 0 0 0 # Alpha & Gamma 1 [all …]
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H A D | matmul.B.main.scop1.cloog | 90 … 0 0 0 0 0 0 0 0 0 0 0 0 0 # Alpha & Gamma 1 92 … 1 0 0 0 0 0 0 0 0 0 0 0 0 # Alpha & Gamma 2 94 … 0 0 1 0 0 0 0 0 0 0 0 0 0 # Alpha & Gamma 3 96 … 0 0 0 0 1 0 0 0 0 0 0 0 0 # Alpha & Gamma 4 98 … 0 0 0 0 0 0 1 0 0 0 0 0 0 # Alpha & Gamma 5 100 … 0 0 0 0 0 0 0 0 1 0 0 0 0 # Alpha & Gamma 6 106 … 0 0 0 0 0 0 0 0 0 0 0 0 0 # Alpha & Gamma 1 108 … 1 0 0 0 0 0 0 0 0 0 0 0 0 # Alpha & Gamma 2 110 … 0 0 1 0 0 0 0 0 0 0 0 0 0 # Alpha & Gamma 3 112 … 0 0 0 0 1 0 0 0 0 0 0 0 0 # Alpha & Gamma 4 [all …]
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H A D | matmul.cloog | 90 … 0 0 0 0 0 0 0 0 0 0 0 0 0 # Alpha & Gamma 1 92 … 1 0 0 0 0 0 0 0 0 0 0 0 0 # Alpha & Gamma 2 94 … 0 0 1 0 0 0 0 0 0 0 0 0 0 # Alpha & Gamma 3 96 … 0 0 0 0 1 0 0 0 0 0 0 0 0 # Alpha & Gamma 4 98 … 0 0 0 0 0 0 1 0 0 0 0 0 0 # Alpha & Gamma 5 100 … 0 0 0 0 0 0 0 0 1 0 0 0 0 # Alpha & Gamma 6 106 … 0 0 0 0 0 0 0 0 0 0 0 0 0 # Alpha & Gamma 1 108 … 1 0 0 0 0 0 0 0 0 0 0 0 0 # Alpha & Gamma 2 110 … 0 0 1 0 0 0 0 0 0 0 0 0 0 # Alpha & Gamma 3 112 … 0 0 0 0 1 0 0 0 0 0 0 0 0 # Alpha & Gamma 4 [all …]
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H A D | matmul1.cloog | 151 0 0 1 0 0 0 0 0 0 0 0 0 0 # Alpha & Gamma 1 153 0 0 0 0 1 0 0 0 0 0 0 0 0 # Alpha & Gamma 2 155 0 0 0 0 0 0 1 0 0 0 0 0 0 # Alpha & Gamma 3 157 0 0 0 0 0 0 0 0 1 0 0 0 0 # Alpha & Gamma 4 163 0 0 1 0 0 0 0 0 0 0 0 0 0 # Alpha & Gamma 1 165 0 0 0 0 1 0 0 0 0 0 0 0 0 # Alpha & Gamma 2 167 0 0 0 0 0 0 1 0 0 0 0 0 0 # Alpha & Gamma 3 169 0 0 0 0 0 0 0 0 1 0 0 0 0 # Alpha & Gamma 4 175 0 0 1 0 0 0 0 0 0 0 0 0 0 # Alpha & Gamma 1 177 0 0 0 0 1 0 0 0 0 0 0 0 0 # Alpha & Gamma 2 [all …]
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/dports/math/cloog/cloog-cloog-0.20.0/test/ |
H A D | swim.cloog | 1204 … 1 0 0 0 0 0 0 0 0 0 0 0 0 # Alpha & Gamma 1 1206 … 0 0 1 0 0 0 0 0 0 0 0 0 0 # Alpha & Gamma 2 1208 … 0 0 0 0 1 0 0 0 0 0 0 0 0 # Alpha & Gamma 3 1214 … 1 0 0 0 0 0 0 0 0 0 0 0 0 # Alpha & Gamma 1 1216 … 0 0 1 0 0 0 0 0 0 0 0 0 0 # Alpha & Gamma 2 1218 … 0 0 0 0 1 0 0 0 0 0 0 0 0 # Alpha & Gamma 3 1224 … 1 0 0 0 0 0 0 0 0 0 0 0 0 # Alpha & Gamma 1 1226 … 0 0 1 0 0 0 0 0 0 0 0 0 0 # Alpha & Gamma 2 1228 … 0 0 0 0 1 0 0 0 0 0 0 0 0 # Alpha & Gamma 3 1234 … 1 0 0 0 0 0 0 0 0 0 0 0 0 # Alpha & Gamma 1 [all …]
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H A D | vasilache.cloog | 153 0 0 1 0 0 0 0 0 0 0 0 0 0 # Alpha & Gamma 1 155 0 0 0 0 1 0 0 0 0 0 0 0 0 # Alpha & Gamma 2 157 0 0 0 0 0 0 1 0 0 0 0 0 0 # Alpha & Gamma 3 159 0 0 0 0 0 0 0 0 1 0 0 0 0 # Alpha & Gamma 4 165 0 0 1 0 0 0 0 0 0 0 0 0 0 # Alpha & Gamma 1 167 0 0 0 0 1 0 0 0 0 0 0 0 0 # Alpha & Gamma 2 169 0 0 0 0 0 0 1 0 0 0 0 0 0 # Alpha & Gamma 3 171 0 0 0 0 0 0 0 0 1 0 0 0 0 # Alpha & Gamma 4 177 0 0 1 0 0 0 0 0 0 0 0 0 0 # Alpha & Gamma 1 179 0 0 0 0 1 0 0 0 0 0 0 0 0 # Alpha & Gamma 2 [all …]
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/dports/math/reduce/Reduce-svn5758-src/packages/rubi_red/tests4/SpecialFunctions/ |
H A D | GammaFunctions.m | 19 {Gamma[2, a*x]*x^2, x, 1, (1/3)*x^3*Gamma[2, a*x] - Gamma[5, a*x]/(3*a^3)} 20 {Gamma[2, a*x]*x^1, x, 1, (1/2)*x^2*Gamma[2, a*x] - Gamma[4, a*x]/(2*a^2)} 21 {Gamma[2, a*x]*x^0, x, 1, x*Gamma[2, a*x] - Gamma[3, a*x]/a} 24 {Gamma[2, a*x]/x^3, x, 1, (1/2)*a^2*Gamma[0, a*x] - Gamma[2, a*x]/(2*x^2)} 25 {Gamma[2, a*x]/x^4, x, 1, (1/3)*a^3*Gamma[-1, a*x] - Gamma[2, a*x]/(3*x^3)} 39 {Gamma[-2, a*x]*x^0, x, 1, x*Gamma[-2, a*x] - Gamma[-1, a*x]/a} 41 {Gamma[-2, a*x]/x^2, x, 1, a*Gamma[-3, a*x] - Gamma[-2, a*x]/x} 56 {Gamma[n, a*x]*x^0, x, 1, x*Gamma[n, a*x] - Gamma[1 + n, a*x]/a} 58 {Gamma[n, a*x]/x^2, x, 1, a*Gamma[-1 + n, a*x] - Gamma[n, a*x]/x} 69 {Gamma[n, 2*x]*x^0, x, 1, x*Gamma[n, 2*x] - (1/2)*Gamma[1 + n, 2*x]} [all …]
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/dports/science/py-scipy/scipy-1.7.1/doc/source/tutorial/stats/ |
H A D | continuous_burr.rst | 12 …et }k & = & \Gamma\left(d\right)\Gamma\left(1-\frac{2}{c}\right)\Gamma\left(\frac{2}{c}+d\right)-\… 16 …\mu & = & \frac{\Gamma\left(1-\frac{1}{c}\right)\Gamma\left(\frac{1}{c}+d\right)}{\Gamma\left(d\ri… 17 \mu_{2} & = & \frac{k}{\Gamma^{2}\left(d\right)}\\ 18 …}\left[2\Gamma^{3}\left(1-\frac{1}{c}\right)\Gamma^{3}\left(\frac{1}{c}+d\right)+\Gamma^{2}\left(d… 19 …& & \left.-3\Gamma\left(d\right)\Gamma\left(1-\frac{2}{c}\right)\Gamma\left(1-\frac{1}{c}\right)\… 20 …{2}}\left[6\Gamma\left(d\right)\Gamma\left(1-\frac{2}{c}\right)\Gamma^{2}\left(1-\frac{1}{c}\right… 21 …& & -3\Gamma^{4}\left(1-\frac{1}{c}\right)\Gamma^{4}\left(\frac{1}{c}+d\right)+\Gamma^{3}\left(d\… 22 …& & \left.-4\Gamma^{2}\left(d\right)\Gamma\left(1-\frac{3}{c}\right)\Gamma\left(1-\frac{1}{c}\rig…
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H A D | continuous_fisk.rst | 13 …}\textrm{Let }k & = & \Gamma\left(1-\frac{2}{c}\right)\Gamma\left(\frac{2}{c}+1\right)-\Gamma^{2}\… 17 \mu & = & \Gamma\left(1-\frac{1}{c}\right)\Gamma\left(\frac{1}{c}+1\right)\\ 19 …Gamma^{3}\left(1-\frac{1}{c}\right)\Gamma^{3}\left(\frac{1}{c}+1\right)+\Gamma\left(1-\frac{3}{c}\… 20 …Gamma\left(1-\frac{2}{c}\right)\Gamma^{2}\left(1-\frac{1}{c}\right)\Gamma^{2}\left(\frac{1}{c}+1\r…
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/dports/math/openturns/openturns-1.18/lib/test/ |
H A D | t_GammaFactory_std.expout | 1 Distribution =class=Gamma name=Gamma dimension=1 k=0.2 lambda=1 gamma=1 2 Estimated distribution=class=Gamma name=Gamma dimension=1 k=0.222723 lambda=1.12563 gamma=0.9999 3 Distribution =class=Gamma name=Gamma dimension=1 k=2.3 lambda=1 gamma=1 4 Estimated distribution=class=Gamma name=Gamma dimension=1 k=2.1923 lambda=0.974143 gamma=1.06104 5 Default distribution=class=Gamma name=Gamma dimension=1 k=1 lambda=1 gamma=0 6 Distribution from parameters=class=Gamma name=Gamma dimension=1 k=2.3 lambda=1 gamma=1 7 Gamma =class=Gamma name=Gamma dimension=1 k=2.3 lambda=1 gamma=1 8 Estimated gamma=class=Gamma name=Gamma dimension=1 k=2.1923 lambda=0.974143 gamma=1.06104 9 Default gamma=class=Gamma name=Gamma dimension=1 k=1 lambda=1 gamma=0 10 Gamma from parameters=class=Gamma name=Gamma dimension=1 k=2.3 lambda=1 gamma=1
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/dports/math/R-cran-mcmc/mcmc/tests/ |
H A D | initseq.Rout.save | 31 > k <- min(seq(along = Gamma)[Gamma < 0]) 32 > Gamma <- Gamma[1:k] 39 [1] "gamma0" "Gamma.pos" "Gamma.dec" "Gamma.con" "var.pos" "var.dec" 45 > length(out$Gamma.pos) == length(Gamma) 47 > all.equal(out$Gamma.pos, Gamma) 50 > Gamma.dec <- cummin(Gamma) 51 > all.equal(out$Gamma.dec, Gamma.dec) 58 > Gamma.con <- Gamma.dec[1] + cumsum(c(0, pava(diff(Gamma.dec)))) 59 > all.equal(out$Gamma.con, Gamma.con) 62 > all.equal(0, min(out$Gamma.pos - out$Gamma.dec)) [all …]
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/dports/math/openturns/openturns-1.18/lib/src/Uncertainty/Distribution/ |
H A D | Gamma.cxx | 31 CLASSNAMEINIT(Gamma) 36 Gamma::Gamma() in Gamma() function in Gamma 49 Gamma::Gamma(const Scalar k, in Gamma() function in Gamma 64 Bool Gamma::operator ==(const Gamma & other) const in operator ==() 72 const Gamma* p_other = dynamic_cast<const Gamma*>(&other); in equals() 77 String Gamma::__repr__() const in __repr__() 108 Scalar Gamma::getK() const in getK() 164 Gamma * Gamma::clone() const in clone() 166 return new Gamma(*this); in clone() 170 void Gamma::computeRange() in computeRange() [all …]
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/dports/lang/rust/rustc-1.58.1-src/src/test/ui/associated-type-bounds/auxiliary/ |
H A D | fn-dyn-aux.rs | 8 type Gamma; typedef 9 fn gamma(&self) -> Self::Gamma; in gamma() argument 54 type Gamma = T; typedef 59 type Gamma = GammaType; typedef 64 type Gamma = GammaType; typedef 69 type Gamma = Self; typedef 97 B::Gamma: Alpha in desugared_bound() 106 B::Gamma: 'static, in desugared_bound_region() 124 B::Gamma: 'a + Epsilon<'a>, in desugared_bound_region_specific() 136 let g2: B::Gamma = g1; in desugared_bound_region_forall() [all …]
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H A D | fn-aux.rs | 8 type Gamma; typedef 9 fn gamma(self) -> Self::Gamma; in gamma() argument 54 type Gamma = GammaType; typedef 59 type Gamma = GammaType; typedef 64 type Gamma = Self; typedef 92 B::Gamma: Alpha in desugared_bound() 95 assert_alpha::<B::Gamma>(gamma) in desugared_bound() 101 B::Gamma: 'static, in desugared_bound_region() 119 B::Gamma: 'a + Epsilon<'a>, in desugared_bound_region_specific() 131 let g2: B::Gamma = g1; in desugared_bound_region_forall() [all …]
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/dports/x11/plasma5-kgamma5/kgamma5-5.23.5/kcmkgamma/ |
H A D | kgamma.desktop | 73 Name=Gamma 78 Name[br]=Gamma 80 Name[ca]=Gamma 84 Name[da]=Gamma 85 Name[de]=Gamma 89 Name[es]=Gamma 90 Name[et]=Gamma 91 Name[eu]=Gamma 93 Name[fi]=Gamma 94 Name[fr]=Gamma [all …]
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/dports/math/openturns/openturns-1.18/python/test/ |
H A D | t_GammaFactory_std.expout | 1 distribution= class=Gamma name=Gamma dimension=1 k=0.2 lambda=1 gamma=1 2 Estimated distribution= class=Gamma name=Gamma dimension=1 k=0.222723 lambda=1.12563 gamma=0.9999 3 distribution= class=Gamma name=Gamma dimension=1 k=2.3 lambda=1 gamma=1 4 Estimated distribution= class=Gamma name=Gamma dimension=1 k=2.1923 lambda=0.974143 gamma=1.06104 5 Distribution = Gamma(k = 2.3, lambda = 1, gamma = 1) 7 Default distribution= Gamma(k = 1, lambda = 1, gamma = 0) 8 Distribution from parameters= Gamma(k = 2.3, lambda = 1, gamma = 1) 9 Gamma = Gamma(k = 2.3, lambda = 1, gamma = 1) 10 Estimated gamma= Gamma(k = 2.26872, lambda = 0.995441, gamma = 1.02147) 11 Default gamma= Gamma(k = 1, lambda = 1, gamma = 0) [all …]
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/dports/math/teyjus/teyjus-2.1-7-ge63f40a/examples/ndprover/ |
H A D | ndtac.mod | 45 member (P of_type A) Gamma. 48 nth_item N (P of_type A) Gamma. 51 (andgoal (Gamma --> P1 of_type A) (Gamma --> P2 of_type B)). 54 (Gamma --> P of_type A). 57 (Gamma --> P of_type B). 72 and_e_tac N (Gamma --> PC of_type C) 77 imp_e_tac N (Gamma --> PC of_type C) 82 imp_e_retain N (Gamma --> PC of_type C) 86 nth_item N (P of_type A imp B) Gamma. 92 fchain_tac N (Gamma --> PC of_type C) [all …]
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/dports/math/xlife++/xlifepp-sources-v2.0.1-2018-05-09/doc/tex/ |
H A D | Maxwell_BEM.tex | 113 $$\int_{\Gamma}\div_\Gamma\vU\,\psi=-\int_{\Gamma}\vU.\vgrad_\Gamma \psi.$$ 133 \Delta_{\Gamma}\vU=\vgrad_{\Gamma}\,\div_{\Gamma}\vU-\vcurl_{\Gamma}\,\curl_\Gamma\vU&\ \ \ \text{(… 138 \displaystyle \int_\Gamma \vgrad_{\Gamma}\varphi.\vU = -\int_\Gamma \varphi\,\div_{\Gamma}\vU\\[3mm] 139 \displaystyle \int_\Gamma \vcurl_{\Gamma}\varphi.\vU = \int_\Gamma \varphi\,\curl_{\Gamma}\vU\\[3mm] 140 \displaystyle \int_\Gamma \psi\,\vcurl_{\Gamma}\varphi =- \int_\Gamma \varphi\,\vcurl_{\Gamma}\psi\… 141 \displaystyle -\int_\Gamma \Delta_\Gamma\varphi\,\psi =\int_\Gamma \vgrad_{\Gamma}\varphi.\vgrad_{\… 142 …playstyle -\int_\Gamma \Delta_\Gamma\vU.\vV =\int_\Gamma \div_{\Gamma}\vU\,\div_{\Gamma}\vV+\int_\… 184 $$H^{-\half}_\times(\div_\Gamma,\Gamma)=\left\{ \vmu\in H^{-\half}_\times(\Gamma), \div_\Gamma\vmu\… 192 … +\frac{1}{k}\int_{\Gamma}\int_{\Gamma}G(x,y)\,\div_\Gamma\vlambda(y)\,\div_\Gamma\vmu(x)\\[5mm] 358 …Gamma \vtheta.\vxi + \int_\Gamma \div_\Gamma\vtheta\, \div_\Gamma\vxi=\int_\Gamma (\vxi\times \vn)… [all …]
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/dports/math/apache-commons-math/commons-math3-3.6.1-src/src/test/java/org/apache/commons/math3/special/ |
H A D | GammaTest.java | 30 double actualP = Gamma.regularizedGammaP(a, x); in testRegularizedGamma() 31 double actualQ = Gamma.regularizedGammaQ(a, x); in testRegularizedGamma() 37 double actual = Gamma.logGamma(x); in testLogGamma() 326 final double actual = Gamma.logGamma(x); in testLogGamma() 405 Gamma.invGamma1pm1(-0.51); in testInvGamma1pm1Precondition1() 411 Gamma.invGamma1pm1(1.51); in testInvGamma1pm1Precondition2() 451 Gamma.logGamma1p(-0.51); in testLogGamma1pPrecondition1() 457 Gamma.logGamma1p(1.51); in testLogGamma1pPrecondition2() 950 final double actual = Gamma.gamma(x); in testGamma() 982 double previousGamma = Gamma.gamma(-18.5); in testGammaNegativeDouble() [all …]
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/dports/biology/hyphy/hyphy-2.5.33/tests/hbltests/UnitTests/HBLCommands/ |
H A D | Gamma.bf | 6 return "Gamma function"; 28 …assert(Abs((x["Gamma(_MATRIX_ELEMENT_VALUE_)"] - gamma_x)/abs_gamma_x) < 1e-8, "Does not agree wit… 34 …assert(runCommandWithSoftErrors('Gamma("")', "Operation 'Gamma' is not implemented/defined for a S… 35 …ssert(runCommandWithSoftErrors('Gamma({})', "Operation 'Gamma' is not implemented/defined for a As… 36 …ssert(runCommandWithSoftErrors('Gamma({{"a","b"}})', "Operation 'Gamma' is not implemented/defined… 37 …assert(runCommandWithSoftErrors('Gamma(T)', "Operation 'Gamma' is not implemented/defined for a To… 38 …assert(runCommandWithSoftErrors('Gamma(TT)', "Operation 'Gamma' is not implemented/defined for a T…
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/dports/math/reduce/Reduce-svn5758-src/packages/rubi_red/tests/SpecialFunctions/ |
H A D | GammaFunctions.m | 4 (*Integration Problems Involving Gamma Functions*) 8 (*Integrands involving Gamma*) 11 {x^m*Gamma[n, a*x], x, 1, (x^(1 + m)*Gamma[n, a*x])/(1 + m) - (x^(1 + m)*(a*x)^(-1 - m)*Gamma[1 + m… 12 {x^m*Gamma[n, 2*x], x, 1, (x^(1 + m)*Gamma[n, 2*x])/(1 + m) - (2^(-1 - m)*Gamma[1 + m + n, 2*x])/(1… 13 {x^1000*Gamma[n, a*x], x, 1, (x^1001*Gamma[n, a*x])/1001 - Gamma[1001 + n, a*x]/(1001*a^1001)} 16 {Gamma[n, a+b*x], x, 1, ((a + b*x)*Gamma[n, a + b*x])/b - Gamma[1 + n, a + b*x]/b} 17 {x*Gamma[n, a+b*x], x, 3, (-(1/2))*(a^2/b^2 - x^2)*Gamma[n, a + b*x] + (a*Gamma[1 + n, a + b*x])/b^… 18 {x^2*Gamma[n, a+b*x], x, 7, (1/3)*(a^3/b^3 + x^3)*Gamma[n, a + b*x] - (a^2*Gamma[1 + n, a + b*x])/b… 25 {Log[Gamma[a+b*x]], x, 4, x*Log[Gamma[a + b*x]] - x*LogGamma[a + b*x] + PolyGamma[-2, a + b*x]/b} 50 (*Integrands involving Gamma and PolyGamma*) [all …]
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/dports/math/reduce/Reduce-svn5758-src/contrib/rubi-red/rubi4/IntegrationProblems/MathematicaSyntaxFiles/SpecialFunctions/ |
H A D | GammaFunctions.m | 4 (*Integration Problems Involving Gamma Functions*) 8 (*Integrands involving Gamma*) 11 {x^m*Gamma[n, a*x], x, 1, (x^(1 + m)*Gamma[n, a*x])/(1 + m) - (x^(1 + m)*(a*x)^(-1 - m)*Gamma[1 + m… 12 {x^m*Gamma[n, 2*x], x, 1, (x^(1 + m)*Gamma[n, 2*x])/(1 + m) - (2^(-1 - m)*Gamma[1 + m + n, 2*x])/(1… 13 {x^1000*Gamma[n, a*x], x, 1, (x^1001*Gamma[n, a*x])/1001 - Gamma[1001 + n, a*x]/(1001*a^1001)} 16 {Gamma[n, a+b*x], x, 1, ((a + b*x)*Gamma[n, a + b*x])/b - Gamma[1 + n, a + b*x]/b} 17 {x*Gamma[n, a+b*x], x, 3, (-(1/2))*(a^2/b^2 - x^2)*Gamma[n, a + b*x] + (a*Gamma[1 + n, a + b*x])/b^… 18 {x^2*Gamma[n, a+b*x], x, 7, (1/3)*(a^3/b^3 + x^3)*Gamma[n, a + b*x] - (a^2*Gamma[1 + n, a + b*x])/b… 25 {Log[Gamma[a+b*x]], x, 4, x*Log[Gamma[a + b*x]] - x*LogGamma[a + b*x] + PolyGamma[-2, a + b*x]/b} 50 (*Integrands involving Gamma and PolyGamma*) [all …]
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