convert/0F1
convert to special functions admitting a 0F1 hypergeometric representation
Calling Sequence
Parameters
Description
Examples
convert(expr, `0F1`)
expr
-
Maple expression, equation, or a set or list of them
convert/0F1 converts, when possible, hypergeometric, MeijerG, and special functions admitting a 1F1 hypergeometric representation into special functions admitting a 0F1 hypergeometric representation; that is, into one of
FunctionAdvisor( `0F1` );
The 26 functions in the "0F1" class are particular cases of the hypergeometric function and are given by:
AiryAi,AiryBi,BesselI,BesselJ,BesselK,BesselY,HankelH1,HankelH2,KelvinBei,KelvinBer,KelvinHei,KelvinHer,KelvinKei,KelvinKer,cos,cosh,cot,coth,csc,csch,sec,sech,sin,sinh,tan,tanh
convert/0F1 accepts as optional arguments all those described in convert/to_special_function.
1Γ1+aza2aWhittakerM0,a,2Iz2Iz12+a
zaWhittakerM0,a,2IzΓ1+a2a2Iz12+a
convert,`0F1`
zaBesselIa,IzIza
2−a−1πzasinπ1+aMeijerG,,0,−a,−14z2+2−1+aπsinπaz−aMeijerG,,0,a,−14z2
2−a−1πzaMeijerG,,0,−a,−z24sinπ1+a+2−1+aπz−aMeijerG,,0,a,−z24sinπa
2−a−1πBesselIa,z2asinπ1+a+2−1+aπz−aBesselI−a,zzasinπa2a
LaguerreL−12−a,2a,2Iz−WhittakerM0,a,2Iz
2aΓ1+a−12+a−12−aⅇIz−2Iz12+aBesselIa,IzIza
See Also
convert
convert/`1F1`
convert/`2F1`
convert/to_special_function
FunctionAdvisor
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