Path: news.mathworks.com!not-for-mail From: <HIDDEN> Newsgroups: comp.soft-sys.matlab Subject: Re: Hermite polynomials with complex parameters. Date: Fri, 2 Mar 2012 18:15:17 +0000 (UTC) Organization: The MathWorks, Inc. Lines: 18 Message-ID: <jir2nl$n02$1@newscl01ah.mathworks.com> References: <jine89$ee3$1@newscl01ah.mathworks.com> <jinhmi$5qa$1@speranza.aioe.org> <jioqjh$dgl$1@newscl01ah.mathworks.com> <jipjno$r89$1@newscl01ah.mathworks.com> <jipr4c$ia9$1@newscl01ah.mathworks.com> <jipss8$n57$1@newscl01ah.mathworks.com> <jipvcj$ro$1@speranza.aioe.org> Reply-To: <HIDDEN> NNTP-Posting-Host: www-01-blr.mathworks.com Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit X-Trace: newscl01ah.mathworks.com 1330712117 23554 172.30.248.46 (2 Mar 2012 18:15:17 GMT) X-Complaints-To: news@mathworks.com NNTP-Posting-Date: Fri, 2 Mar 2012 18:15:17 +0000 (UTC) X-Newsreader: MATLAB Central Newsreader 1187260 Xref: news.mathworks.com comp.soft-sys.matlab:759641 "Nasser M. Abbasi" <nma@12000.org> wrote in message <jipvcj$ro$1@speranza.aioe.org>... > The above only gives you one numerical value. Not a polynomial, > which is what you asked for: > In[7]:= HermiteH[1 + I, 0.5] > Out[7]= 1.9951895074974817 - 0.29935560945022155*I > I thought you wanted a Hermite polynomial, as in > In[8]:= HermiteH[5, x] > Out[8]= 120*x - 160*x^3 + 32*x^5 > which only works for non-negative integers. > If I type > HermiteH[1 + I, x] > then Mathematica does not do anything with it. - - - - - - - - - - Hi Nasser. I see nothing contradictory in the various results you get with HermiteH. HermiteH(n,z) when n is a positive integer is in fact a polynomial function of z which can be given a specific polynomial coefficient format rather than simply a value. However when n is otherwise, there is no way that Mathematica can express what function of z it is, so as you say, it "does not do anything with it". On the other hand if you give a specific value for z, then HermiteH can return with the corresponding function value for that z which it apparently does in every case, hence your single result for HermiteH[1+I,0.5]. When Xiang originally asked "how to simulate hermite polynomials" it was presumably a minor misnomer which was later corrected by saying "For general 'n', its actually hermite function." Roger Stafford