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Series and passing a function a changing number of variables
*To*: mathgroup at smc.vnet.net
*Subject*: [mg106758] Series and passing a function a changing number of variables
*From*: Ignacio Plazeta <Ignacio.Plazeta at speednet.es>
*Date*: Sat, 23 Jan 2010 07:29:27 -0500 (EST)
Dear Friends
-- 1 -----------------------------------------------
This command works fine:
Series[ Exp[ x + 2 y^x ] , {x, 0, 2} , {y, 0, 2} ]
this one doesn't:
Series[ Exp[ x + 2 y^x ] , {{x, 0, 2}, {y, 0, 2}} ]
It returns:
"Series specification is not a list with three elements ..."
-- 2 -----------------------------------------------
I'm trying to set up this kind of function:
myTaylorExpander[ function_ , varList , startPoint_ , ord_ ]
where varList length is changing; because of the above mentioned
behavior of Series function I can't simply try something like:
numVar = Length[ varList ];
args = Table[
{ varList[[k]] , startPoint , ord}
, { k, 1 , numVar }
]
Series[ f , args ] // Normal
-- 3 -----------------------------------------------
Is there a way to get out of this by a trick to pass a functions
a changing number of variable ? Anything else fitting is welcomed too.
Warmest Regards.
Ignacio Plazeta
( Spain )
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