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initial version
sage: type(airy_ai)
<type 'function'>
sage: type(gamma)
<type 'function'>
sage: type(sin)
<class 'sage.functions.trig.Function_sin'>
sage: type(log_gamma)
<class 'sage.functions.other.Function_log_gamma'>

Actually, this is somewhat misleading, since gamma uses

sage: type(sage.functions.other.gamma1)
<class 'sage.functions.other.Function_gamma'>

under the hood, but I hope you get the point.

See also Trac 12455 for this very issue - maybe you can help?