33-XX |
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Special functions (33-XX deals with the properties of functions as functions) {For orthogonal functions, see 42Cxx; for aspects of combinatorics, see 05Axx; for number-theoretic aspects, see 11-XX; for representation theory, see 22Exx} |
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33Cxx |
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Hypergeometric functions |
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33C05 |
Classical hypergeometric functions, ${}_2F_1$ |
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33C10 |
Bessel and Airy functions, cylinder functions, ${}_0F_1$ |
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33C15 |
Confluent hypergeometric functions, Whittaker functions, ${}_1F_1$ |
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33C20 |
Generalized hypergeometric series, ${}_pF_q$ |
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33C45 |
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) {For general orthogonal polynomials and functions, see also 42C05} |
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33C47 |
Other special orthogonal polynomials and functions |
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33C50 |
Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable |
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33C52 |
Orthogonal polynomials and functions associated with root systems |
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33C55 |
Spherical harmonics |
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33C60 |
Hypergeometric integrals and functions defined by them ($E$, $G$, $H$ and $I$ functions) |
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33C65 |
Appell, Horn and Lauricella functions |
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33C67 |
Hypergeometric functions associated with root systems |
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33C70 |
Other hypergeometric functions and integrals in several variables |
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33C75 |
Elliptic integrals as hypergeometric functions |
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33C80 |
Connections of hypergeometric functions with groups and algebras, and related topics |
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33C90 |
Applications of hypergeometric functions |
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33C99 |
None of the above, but in this section |