What names should the Airy functions get in sympy?
The following list shows what other CAS and similar
software does:

Maxima:
        
   airy_ai(...)
   airy_dai(...)

Sage:

   airy_ai(...)
   airy_ai_prime(...)

mpmath:

   airyai(...)
   No primed functions?

Octave:

   airy(k, ...)
   with k = (1,2,3,4) and 0 mens Ai(Z), 1 means dAi(Z)/dZ etc

Mathematica:

   AiryAi[...]
   AiryAiPrime[...]

Maple:
  
   AiryAi(...)
   AiryAi(n, ...) for the primed version

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