From: Richard Kreckel <Richard.Kreckel@uni-mainz.de>
Date: Fri, 31 Mar 2000 00:30:20 +0000 (+0000)
Subject: - Documentation adjusted to new tgamma-lgamma-Euler-convention.
X-Git-Tag: release_0-6-0~39
X-Git-Url: https://www.ginac.de/ginac.git//ginac.git?p=ginac.git;a=commitdiff_plain;h=ada31d7da653cfb6a7571b367d7b939f7d29db40

- Documentation adjusted to new tgamma-lgamma-Euler-convention.
---

diff --git a/doc/tutorial/ginac.texi b/doc/tutorial/ginac.texi
index d8970b5b..e284e03e 100644
--- a/doc/tutorial/ginac.texi
+++ b/doc/tutorial/ginac.texi
@@ -388,15 +388,15 @@ tan(x)^2+1
 x-1/6*x^3+Order(x^4)
 > series(1/tan(x),x==0,4);
 x^(-1)-1/3*x+Order(x^2)
-> series(Gamma(x),x==0,3);
-x^(-1)-gamma+(1/12*Pi^2+1/2*gamma^2)*x+
-(-1/3*zeta(3)-1/12*Pi^2*gamma-1/6*gamma^3)*x^2+Order(x^3)
+> series(tgamma(x),x==0,3);
+x^(-1)-Euler+(1/12*Pi^2+1/2*Euler^2)*x+
+(-1/3*zeta(3)-1/12*Pi^2*Euler-1/6*Euler^3)*x^2+Order(x^3)
 > evalf(");
 x^(-1)-0.5772156649015328606+(0.9890559953279725555)*x
 -(0.90747907608088628905)*x^2+Order(x^3)
-> series(Gamma(2*sin(x)-2),x==Pi/2,6);
--(x-1/2*Pi)^(-2)+(-1/12*Pi^2-1/2*gamma^2-1/240)*(x-1/2*Pi)^2
--gamma-1/12+Order((x-1/2*Pi)^3)
+> series(tgamma(2*sin(x)-2),x==Pi/2,6);
+-(x-1/2*Pi)^(-2)+(-1/12*Pi^2-1/2*Euler^2-1/240)*(x-1/2*Pi)^2
+-Euler-1/12+Order((x-1/2*Pi)^3)
 @end example
 
 Here we have made use of the @command{ginsh}-command @code{"} to pop the
@@ -1017,7 +1017,7 @@ following table.
 
 @cindex @code{Pi}
 @cindex @code{Catalan}
-@cindex @code{gamma}
+@cindex @code{Euler}
 @cindex @code{evalf()}
 Constants behave pretty much like symbols except that they return some
 specific number when the method @code{.evalf()} is called.
@@ -1033,7 +1033,7 @@ The predefined known constants are:
 @item @code{Catalan}
 @tab Catalan's constant
 @tab 0.91596559417721901505460351493238411
-@item @code{gamma}
+@item @code{Euler}
 @tab Euler's (or Euler-Mascheroni) constant
 @tab 0.57721566490153286060651209008240243
 @end multitable
@@ -1150,11 +1150,11 @@ int main()
     symbol x("x"), y("y");
     
     ex foo = x+y/2;
-    cout << "Gamma(" << foo << ") -> " << Gamma(foo) << endl;
+    cout << "tgamma(" << foo << ") -> " << tgamma(foo) << endl;
     ex bar = foo.subs(y==1);
-    cout << "Gamma(" << bar << ") -> " << Gamma(bar) << endl;
+    cout << "tgamma(" << bar << ") -> " << tgamma(bar) << endl;
     ex foobar = bar.subs(x==7);
-    cout << "Gamma(" << foobar << ") -> " << Gamma(foobar) << endl;
+    cout << "tgamma(" << foobar << ") -> " << tgamma(foobar) << endl;
     // ...
 @}
 @end example
@@ -1163,9 +1163,9 @@ This program shows how the function returns itself twice and finally an
 expression that may be really useful:
 
 @example
-Gamma(x+(1/2)*y) -> Gamma(x+(1/2)*y)
-Gamma(x+1/2) -> Gamma(x+1/2)
-Gamma(15/2) -> (135135/128)*Pi^(1/2)
+tgamma(x+(1/2)*y) -> tgamma(x+(1/2)*y)
+tgamma(x+1/2) -> tgamma(x+1/2)
+tgamma(15/2) -> (135135/128)*Pi^(1/2)
 @end example
 
 @cindex branch cut
@@ -1817,11 +1817,11 @@ expansion method is given, GiNaC defaults to simple Taylor expansion,
 which is correct if there are no poles involved as is the case for the
 @code{cos} function.  The way GiNaC handles poles in case there are any
 is best understood by studying one of the examples, like the Gamma
-function for instance.  (In essence the function first checks if there
-is a pole at the evaluation point and falls back to Taylor expansion if
-there isn't.  Then, the pole is regularized by some suitable
-transformation.)  Also, the new function needs to be declared somewhere.
-This may also be done by a convenient preprocessor macro:
+(@code{tgamma}) function for instance.  (In essence the function first
+checks if there is a pole at the evaluation point and falls back to
+Taylor expansion if there isn't.  Then, the pole is regularized by some
+suitable transformation.)  Also, the new function needs to be declared
+somewhere.  This may also be done by a convenient preprocessor macro:
 
 @example
 DECLARE_FUNCTION_1P(cos)