A+ CATEGORY SCIENTIFIC UNIT

# Activities / Library / Books

## Mathematical Sciences Classification System

### 33Cxx - Hypergeometric functions

• 33C05
Classical hypergeometric functions, \${}_2F_1\$
• 33C10
Bessel and Airy functions, cylinder functions, \${}_0F_1\$
• 33C15
Confluent hypergeometric functions, Whittaker functions, \${}_1F_1\$
• 33C20
Generalized hypergeometric series, \${}_pF_q\$
• 33C45
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) [See also 42C05 for general orthogonal polynomials and functions]
• 33C47
Other special orthogonal polynomials and functions
• 33C50
Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable
• 33C52
Orthogonal polynomials and functions associated with root systems
• 33C55
Spherical harmonics
• 33C60
Hypergeometric integrals and functions defined by them (\$E\$, \$G\$, \$H\$ and \$I\$ functions)
• 33C65
Appell, Horn and Lauricella functions
• 33C67
Hypergeometric functions associated with root systems
• 33C70
Other hypergeometric functions and integrals in several variables
• 33C75
Elliptic integrals as hypergeometric functions
• 33C80
Connections with groups and algebras, and related topics
• 33C90
Applications
• 33C99
None of the above, but in this section