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based on an earlier version of the Wolfram Language.
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Bessel-Related Functions
Using original algorithms developed at Wolfram Research, Mathematica has full coverage of all standard Bessel-related functions—evaluating every function to arbitrary precision with optimized algorithms for arbitrary complex values of its parameters, as well as supporting series and asymptotic expansions with full treatment of Stokes sectors, and an extensive web of symbolic transformations and simplifications.
Bessel Functions
BesselJ  ▪ BesselY  ▪ BesselI  ▪ BesselK
Spherical Bessel Functions
Hankel Functions
Airy Functions
AiryAi  ▪ AiryAiPrime  ▪ AiryBi  ▪ AiryBiPrime
Kelvin Functions
KelvinBer  ▪ KelvinBei  ▪ KelvinKer  ▪ KelvinKei
Struve Functions
Function Zeros