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/dports/math/cloog/cloog-cloog-0.20.0/test/published/CC2006/
H A Dswim.B.MAIN__.scop7.cloog2584 … 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 …]
/dports/math/cloog/cloog-cloog-0.20.0/test/urgent/
H A Dswim7.cloog2584 … 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 …]
H A Dscop7.cloog1405 … 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 …]
H A Dswim.cloog1204 … 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 …]
H A Dmatmul.B.main.scop1.cloog90 … 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 …]
H A Dmatmul.cloog90 … 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 …]
H A Dmatmul1.cloog151 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 …]
/dports/math/cloog/cloog-cloog-0.20.0/test/
H A Dswim.cloog1204 … 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 …]
H A Dvasilache.cloog153 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 …]
/dports/math/reduce/Reduce-svn5758-src/packages/rubi_red/tests4/SpecialFunctions/
H A DGammaFunctions.m19 {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 …]
/dports/science/py-scipy/scipy-1.7.1/doc/source/tutorial/stats/
H A Dcontinuous_burr.rst12 …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…
H A Dcontinuous_fisk.rst13 …}\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)\\
19Gamma^{3}\left(1-\frac{1}{c}\right)\Gamma^{3}\left(\frac{1}{c}+1\right)+\Gamma\left(1-\frac{3}{c}\…
20Gamma\left(1-\frac{2}{c}\right)\Gamma^{2}\left(1-\frac{1}{c}\right)\Gamma^{2}\left(\frac{1}{c}+1\r…
/dports/math/openturns/openturns-1.18/lib/test/
H A Dt_GammaFactory_std.expout1 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
/dports/math/R-cran-mcmc/mcmc/tests/
H A Dinitseq.Rout.save31 > 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 …]
/dports/math/openturns/openturns-1.18/lib/src/Uncertainty/Distribution/
H A DGamma.cxx31 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()
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/dports/lang/rust/rustc-1.58.1-src/src/test/ui/associated-type-bounds/auxiliary/
H A Dfn-dyn-aux.rs8 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 …]
H A Dfn-aux.rs8 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 …]
/dports/x11/plasma5-kgamma5/kgamma5-5.23.5/kcmkgamma/
H A Dkgamma.desktop73 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 …]
/dports/math/openturns/openturns-1.18/python/test/
H A Dt_GammaFactory_std.expout1 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 …]
/dports/math/teyjus/teyjus-2.1-7-ge63f40a/examples/ndprover/
H A Dndtac.mod45 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 …]
/dports/math/xlife++/xlifepp-sources-v2.0.1-2018-05-09/doc/tex/
H A DMaxwell_BEM.tex113 $$\int_{\Gamma}\div_\Gamma\vU\,\psi=-\int_{\Gamma}\vU.\vgrad_\Gamma \psi.$$
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]
358Gamma \vtheta.\vxi + \int_\Gamma \div_\Gamma\vtheta\, \div_\Gamma\vxi=\int_\Gamma (\vxi\times \vn)…
[all …]
/dports/math/apache-commons-math/commons-math3-3.6.1-src/src/test/java/org/apache/commons/math3/special/
H A DGammaTest.java30 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 …]
/dports/biology/hyphy/hyphy-2.5.33/tests/hbltests/UnitTests/HBLCommands/
H A DGamma.bf6 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…
/dports/math/reduce/Reduce-svn5758-src/packages/rubi_red/tests/SpecialFunctions/
H A DGammaFunctions.m4 (*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 …]
/dports/math/reduce/Reduce-svn5758-src/contrib/rubi-red/rubi4/IntegrationProblems/MathematicaSyntaxFiles/SpecialFunctions/
H A DGammaFunctions.m4 (*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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