For example, the exponential function, sine, cosine, Airy functions and Parabolic cylinder functions arise in this way.
2.
:: Those are missing Bessel functions, Gamma functions, elliptic functions, parabolic cylinder functions, hyperbolic functions, hypergeometric functions, and Legendre functions.
3.
S . K . Sen, Algorithm 850 : real parabolic cylinder functions ( MR 2 272 353 ) by Gil, Ampro; Segura, Javier, Temme, Nico M ., published in ACM Trans.
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