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From: SourceForge.net <noreply@so...>  20090712 12:54:24

Bugs item #2793294, was opened at 20090518 12:54 Message generated for change (Comment added) made by crategus You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=2793294&group_id=4933 Please note that this message will contain a full copy of the comment thread, including the initial issue submission, for this request, not just the latest update. Category: Lisp Core Group: None >Status: Closed >Resolution: Fixed Priority: 5 Private: No Submitted By: Nobody/Anonymous (nobody) Assigned to: Nobody/Anonymous (nobody) Summary: derivative of gamma_incomplete Initial Comment: (%i1) diff(gamma_incomplete(x,y),x,2); log(0) has been generated.  an error. To debug this try debugmode(true); (%i2) build_info(); Maxima version: 5.18post Maxima build date: 5:51 5/18/2009 host type: i686pcmingw32 lispimplementationtype: Clozure Common Lisp lispimplementationversion: Version 1.3dev (WindowsX8632)  >Comment By: Dieter Kaiser (crategus) Date: 20090712 14:54 Message: With revision 1.35 of comm.lisp sdiffgrad has been extended to accept a lambda expression on the property list. For this case a noun form is returned, if the sign of the first argument is not known to be positive. For the example of this bug report we get: (%i1) diff(gamma_incomplete(a,x),a,2); (%o1) 'diff(gamma_incomplete(a,x),a,2) (%i2) assume(a>0)$ (%i3) diff(gamma_incomplete(a,x),a,2); (%o3) log(x)*((gamma(a)gamma_incomplete(a,x))*log(x) gamma(a)^2*hypergeometric_regularized([a,a],[a+1,a+1],x)*x^a) +gamma(a)^2*hypergeometric_regularized([a,a],[a+1,a+1],x)*x^a*log(x) +gamma(a)^2*'diff(hypergeometric_regularized([a,a],[a+1,a+1],x),a,1) *x^a +2*psi[0](a)*gamma(a)^2*hypergeometric_regularized([a,a],[a+1,a+1],x) *x^a+psi[1](a)*gamma(a)+psi[0](a)^2*gamma(a) Closing this bug report as fixed. Dieter Kaiser  Comment By: Dieter Kaiser (crategus) Date: 20090518 21:08 Message: I do not think that this is really a bug, but a problem of the domain of the functions involved. The first derivative gives: (%i4) diff(gamma_incomplete(a,x),a); (%o4) gamma_incomplete_generalized(a,0,x)*log(x) +gamma(a)^2*hypergeometric_generalized([a,a],[a+1,a+1],x)*x^a +psi[0](a)*gamma(a) This result contains the function gamma_incomplete_generalized(a,0,x). That is equivalent to gamma_incomplete(a,0)gamma_incomplete(a,x). But gamma_incomplete(a,0) is not defined for a<=0. The derivative of gamma_incomplete(a,0) and gamma_incomplete_generalized(a,0,x) causes the error log(0) generated. We can avoid this error when assuming that a>0. For this case we get the simplification: (%i2) assume(a>0); (%o2) [a > 0] gamma_incomplete simplifies: (%i3) gamma_incomplete(a,0); (%o3) gamma(a) gamma_incomplete_generalized simplifies accordingly: (%i4) gamma_incomplete_generalized(a,0,x); (%o4) gamma(a)gamma_incomplete(a,x) With a>0 the second derivative is: (%i5) diff(gamma_incomplete(a,x),a,2); (%o5) log(x)*((gamma(a)gamma_incomplete(a,x))*log(x) gamma(a)^2*hypergeometric_generalized([a,a],[a+1,a+1],x)*x^a) +gamma(a)^2*hypergeometric_generalized([a,a],[a+1,a+1],x)*x^a*log(x) +gamma(a)^2*'diff(hypergeometric_generalized([a,a],[a+1,a+1],x),a,1) *x^a +2*psi[0](a)*gamma(a)^2*hypergeometric_generalized([a,a],[a+1,a+1],x) *x^a+psi[1](a)*gamma(a)+psi[0](a)^2*gamma(a) When we try to get the derivative for a negative parameter an error is generated: (%i6) diff(gamma_incomplete(a,x),a,2); log(0) has been generated.  an error. To debug this try debugmode(true); It seems to me that the derivatives are only well defined for a positive parameter a. I am not sure what we should do to improve this behavior. Perhaps we can include a test for the sign of the parameter and return a noun form if the sign is not known to be positive. Dieter Kaiser  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=2793294&group_id=4933 
From: SourceForge.net <noreply@so...>  20090712 12:50:01

Bugs item #2699862, was opened at 20090321 09:51 Message generated for change (Comment added) made by crategus You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=2699862&group_id=4933 Please note that this message will contain a full copy of the comment thread, including the initial issue submission, for this request, not just the latest update. Category: None Group: None >Status: Closed >Resolution: Fixed Priority: 4 Private: No Submitted By: Barton Willis (willisbl) Assigned to: Nobody/Anonymous (nobody) Summary: derivative of polylogarithm Initial Comment: Returning a noun form for the derivative of a function of two or more variables isn't an option: (%i23) li[x](x)$ Wrong: (%i24) diff(%,x); (%o24) 'diff(li[x](x),x,1)+li[x1](x)/x (%i25) ev(%,'diff); (%o25) 'diff(li[x](x),x,1)+(2*li[x1](x))/x (%i26) ev(%,'diff); (%o26) 'diff(li[x](x),x,1)+(3*li[x1](x))/x  >Comment By: Dieter Kaiser (crategus) Date: 20090712 14:49 Message: With revision 1.35 of comm.lisp sdiffgrad has been extended to accept nil on the property list. In this case a noun form is returned. For the example of the bug report we get: (%i13) li[x](x); (%o13) li[x](x) (%i14) diff(%,x); (%o14) 'diff(li[x](x),x,1) (%i15) ev(%,'diff); (%o15) 'diff(li[x](x),x,1) Closing this bug report as fixed. Dieter Kaiser  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=2699862&group_id=4933 
From: SourceForge.net <noreply@so...>  20090712 01:25:07

Bugs item #2820202, was opened at 20090711 20:24 Message generated for change (Tracker Item Submitted) made by willisbl You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=2820202&group_id=4933 Please note that this message will contain a full copy of the comment thread, including the initial issue submission, for this request, not just the latest update. Category: Lisp Core Group: None Status: Open Resolution: None Priority: 6 Private: No Submitted By: Barton Willis (willisbl) Assigned to: Nobody/Anonymous (nobody) Summary: rootscontract(%i/2); Initial Comment: (%i1) rootscontract(%i/2); (%o1) %i/2 (%i2) build_info(); Maxima version: 5.18.1 Maxima build date: 20:57 4/19/2009 host type: i686pcmingw32 lispimplementationtype: GNU Common Lisp (GCL) lispimplementationversion: GCL 2.6.8 (%o2)  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=2820202&group_id=4933 