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Re: Trying to recursively define a double factorial
*To*: mathgroup at smc.vnet.net
*Subject*: [mg126529] Re: Trying to recursively define a double factorial
*From*: Murray Eisenberg <murray at math.umass.edu>
*Date*: Thu, 17 May 2012 04:10:12 -0400 (EDT)
*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com
*References*: <201205160820.EAA23026@smc.vnet.net>
*Reply-to*: murray at math.umass.edu
You are defining the ordinary factorial function (which is already built
in to Mathematica as Factorial).
You don't need the ";/(n>0)" condition in your definition: Mathematica
uses a special rule such as MyF1[1]=1 before it uses a general rule. So
it would suffice to define:
myF1[1] = 1;
myF1[n_] := myF1[n] = n myF1[n-1]
Note that I changed your capitalized function name to one that begins
with a lower-case letter; since all built-in Mathematica names begin
with capital letters, ordinarily a user's own names should not.
Also -- a very minor point, there's no need for an explicit
multiplication sign.
On 5/16/12 4:20 AM, Jorge Cantu wrote:
> My goal here is to define a recursive function for a double factorial. The domain of this function is the set of positive integers. For a positive even integer n the value DF[n] is the product of all positive even integers which are<n. For a positive odd integer n the value DF[n] is the product of all positive odd integers which are<n.
>
> I wanna make a recursive function of this double factorial without If(and other similar statements). Here is my work so far:
>
>
> Clear[MyF1, n];
> MyF1[1] = 1;
> MyF1[n_Integer] /; (n> 0) := MyF1[n] = n*MyF1[n - 1]
>
> Table[MyF1[k], {k, (*integer*), (*integer*)}]
>
>
>
> How do I do this?
>
--
Murray Eisenberg murray at math.umass.edu
Mathematics & Statistics Dept.
Lederle Graduate Research Tower phone 413 549-1020 (H)
University of Massachusetts 413 545-2859 (W)
710 North Pleasant Street fax 413 545-1801
Amherst, MA 01003-9305
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