Re: hypergeom

*To*: mathgroup at smc.vnet.net*Subject*: [mg81424] Re: hypergeom*From*: dimitris <dimmechan at yahoo.com>*Date*: Sun, 23 Sep 2007 04:28:28 -0400 (EDT)*References*: <fcvqeo$7g5$1@smc.vnet.net>

On 21 , 10:04, Maddy <madd... at gmail.com> wrote: > Hi, > > I got this function > HypergeometricPFQ[{1}, {1/2 + k/2, 1 + k/2}, -1/4 t^2 w^2] > > How can I write it in normal mathematical equation? > > Mathematica help says this: > > HypergeometricPFQ[{a1, a2....ap},{b1, b2 ....bq},z] is the generalized hypergeometric function pFq(a;b;z) > > I don't get what is p and q in my case? > > Kindly help.. Just as a side remark... Say, In[8]:= o = HypergeometricPFQ[{1}, {1/2 + k/2, 1 + k/2}, (-4^(-1))*t^2*w^2] Out[8]= HypergeometricPFQ[{1}, {1/2 + k/2, 1 + k/2}, (-(1/4))*t^2*w^2] Then e.g. In[25]:= FullSimplify[FunctionExpand[o /. Thread[{k, t, w} -> {1/2, 1/3, 2}]]] Out[25]= (1/2)*Sqrt[3*Pi]*(Cos[2/3]*FresnelC[2/Sqrt[3*Pi]] + FresnelS[2/ Sqrt[3*Pi]]*Sin[2/3]) Cheers Dimitris