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From: Igor Khavkine on 30 Apr 2010 05:49
I would like to define a custom special function in Mathematica, let
me call it F[x]. I want it to behave like Sin[x], BesselJ[0,x], etc.
If the argument is symbolic, I do not want Mathematica to do any
special simplifications or evaluations. However, when using Series[]
in an expression like

Series[... F[x] ..., {x,...}]

I want Mathematica to be able to expand F[x] about any particular
point, keeping in mind that F[x] is not analytic everywhere and may
have special branch points about which a Puiseux or Log/power series
expansion must be used.

What is the standard way of defining such behavior on F[x]?

Thanks in advance.

Igor

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