convert/Airy - Maple Programming Help

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convert/Airy

convert special functions admitting 1F1 or 0F1 hypergeometric representation into Airy functions

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

convert(expr, Airy)

Parameters

expr

-

Maple expression, equation, or a set or list of them

Description

• 

convert/Airy converts, when possible, special functions admitting a 1F1 or 0F1 hypergeometric representation into Airy functions. The Airy functions are

FunctionAdvisor( Airy );

The 2 functions in the "Airy" class are:

AiryAi,AiryBi

(1)

Examples

BesselK13,z

BesselK13,z

(2)

convert,Airy

π313223z23AiryAi323213z232

(3)

BesselJ13,z

BesselJ13,z

(4)

convert,Airy

313223z233AiryAi323213z232AiryBi323213z2322

(5)

BesselI13,2z323

BesselI13,2z323

(6)

convert,Airy

33AiryAiz3223+AiryBiz32232z3213

(7)

KummerM56,53,2Iz

KummerM56,53,2Iz

(8)

convert,Airy

ⅇIzπ3213313223z233AiryAi323213z232AiryBi323213z2329Γ23z13

(9)

MeijerG,16,23,13,0,23,16,z

MeijerG,16,23,13,0,23,16,z

(10)

convert,Airy

3z13+z13AiryAi323z13+z13+z13AiryBi323z13313z134z16π

(11)

See Also

convert

convert/to_special_function

FunctionAdvisor