Jacobi: Special cases
Koornwinder Addendum: Jacobi
Orthogonality relation
Symmetry
Jacobi: Special cases: Special values
Bilateral generating functions
Quadratic transformations
Differentiation formulas
Generalized Gegenbauer polynomials
Gegenbauer / Ultraspherical
Hypergeometric representation
Orthogonality relation(s)
Recurrence relation
Monic recurrence relation
Differential equation
Forward shift operator
Backward shift operator
Rodrigues-type formula
Generating functions
Limit relation
Gegenbauer / Ultraspherical polynomial to Hermite polynomial
Koornwinder Addendum: Gegenbauer
Orthogonality relation
Hypergeometric representation
Jacobi: Special cases: Special value
Expression in terms of Jacobi
Re: (9.8.21)
Bilateral generating functions
Trigonometric expansions
Fourier transform
Laplace transforms
Addition formula
Chebyshev
Hypergeometric representation
Orthogonality relation(s)
Recurrence relations
Monic recurrence relations
Differential equations
Forward shift operator
Backward shift operator
Rodrigues-type formulas
Generating functions
Koornwinder Addendum: Chebyshev
Legendre / Spherical
Hypergeometric representation
Orthogonality relation(s)
Recurrence relation
Monic recurrence relation
Differential equation
Rodrigues-type formula
Generating functions