Digital Library of Mathematical Functions:

§18.10(iii) Contour Integral Representations ‣ §18.10 Integral Representations ‣ Classical Orthogonal Polynomials ‣ Chapter 18 Orthogonal Polynomials
§18.10(ii) Laplace-Type Integral Representations ‣ §18.10 Integral Representations ‣ Classical Orthogonal Polynomials ‣ Chapter 18 Orthogonal Polynomials
§18.10(i) Dirichlet–Mehler-Type Integral Representations ‣ §18.10 Integral Representations ‣ Classical Orthogonal Polynomials ‣ Chapter 18 Orthogonal Polynomials
§18.11(ii) Formulas of Mehler–Heine Type ‣ §18.11 Relations to Other Functions ‣ Classical Orthogonal Polynomials ‣ Chapter 18 Orthogonal Polynomials
§18.12 Generating Functions ‣ Classical Orthogonal Polynomials ‣ Chapter 18 Orthogonal Polynomials
§18.14(iii) Local Maxima and Minima ‣ §18.14 Inequalities ‣ Classical Orthogonal Polynomials ‣ Chapter 18 Orthogonal Polynomials
§18.14(i) Upper Bounds ‣ §18.14 Inequalities ‣ Classical Orthogonal Polynomials ‣ Chapter 18 Orthogonal Polynomials
In §18.15(i) Jacobi ‣ §18.15 Asymptotic Approximations ‣ Classical Orthogonal Polynomials ‣ Chapter 18 Orthogonal Polynomials
§18.15(ii) Ultraspherical ‣ §18.15 Asymptotic Approximations ‣ Classical Orthogonal Polynomials ‣ Chapter 18 Orthogonal Polynomials
§18.15(iii) Legendre ‣ §18.15 Asymptotic Approximations ‣ Classical Orthogonal Polynomials ‣ Chapter 18 Orthogonal Polynomials
§18.15(iii) Legendre ‣ §18.15 Asymptotic Approximations ‣ Classical Orthogonal Polynomials ‣ Chapter 18 Orthogonal Polynomials
§18.15(ii) Ultraspherical ‣ §18.15 Asymptotic Approximations ‣ Classical Orthogonal Polynomials ‣ Chapter 18 Orthogonal Polynomials
§18.15(ii) Ultraspherical ‣ §18.15 Asymptotic Approximations ‣ Classical Orthogonal Polynomials ‣ Chapter 18 Orthogonal Polynomials
§18.15(i) Jacobi ‣ §18.15 Asymptotic Approximations ‣ Classical Orthogonal Polynomials ‣ Chapter 18 Orthogonal Polynomials
§18.15(iv) Laguerre ‣ §18.15 Asymptotic Approximations ‣ Classical Orthogonal Polynomials ‣ Chapter 18 Orthogonal Polynomials
§18.15(v) Hermite ‣ §18.15 Asymptotic Approximations ‣ Classical Orthogonal Polynomials ‣ Chapter 18 Orthogonal Polynomials
§18.16(ii) Jacobi ‣ §18.16 Zeros ‣ Classical Orthogonal Polynomials ‣ Chapter 18 Orthogonal Polynomials
§18.16(iv) Laguerre ‣ §18.16 Zeros ‣ Classical Orthogonal Polynomials ‣ Chapter 18 Orthogonal Polynomials
§18.16(v) Hermite ‣ §18.16 Zeros ‣ Classical Orthogonal Polynomials ‣ Chapter 18 Orthogonal Polynomials
§18.16(vi) Additional References ‣ §18.16 Zeros ‣ Classical Orthogonal Polynomials ‣ Chapter 18 Orthogonal Polynomials
§18.17(viii) Other Integrals ‣ §18.17 Integrals ‣ Classical Orthogonal Polynomials ‣ Chapter 18 Orthogonal Polynomials
§18.18(i) Series Expansions of Arbitrary Functions ‣ §18.18 Sums ‣ Classical Orthogonal Polynomials ‣ Chapter 18 Orthogonal Polynomials
Expansion of 𝐿² functions ‣ §18.18(i) Series Expansions of Arbitrary Functions ‣ §18.18 Sums ‣ Classical Orthogonal Polynomials ‣ Chapter 18 Orthogonal Polynomials
§18.18(viii) Other Sums ‣ §18.18 Sums ‣ Classical Orthogonal Polynomials ‣ Chapter 18 Orthogonal Polynomials
§18.1(iii) Other Notations ‣ §18.1 Notation ‣ Notation ‣ Chapter 18 Orthogonal Polynomials
In Orthogonality on Intervals ‣ §18.2(i) Definition ‣ §18.2 General Orthogonal Polynomials ‣ General Orthogonal Polynomials ‣ Chapter 18 Orthogonal Polynomials
In The Szegő Class 𝒢 ‣ §18.2(xi) Some Special Classes of General Orthogonal Polynomials ‣ §18.2 General Orthogonal Polynomials ‣ General Orthogonal Polynomials ‣ Chapter 18 Orthogonal Polynomials
In Orthogonality on General Sets ‣ §18.2(i) Definition ‣ §18.2 General Orthogonal Polynomials ‣ General Orthogonal Polynomials ‣ Chapter 18 Orthogonal Polynomials
§18.2(iii) Standardization and Related Constants ‣ §18.2 General Orthogonal Polynomials ‣ General Orthogonal Polynomials ‣ Chapter 18 Orthogonal Polynomials
§18.2(iv) Recurrence Relations ‣ §18.2 General Orthogonal Polynomials ‣ General Orthogonal Polynomials ‣ Chapter 18 Orthogonal Polynomials
The Szegő Class 𝒢 ‣ §18.2(xi) Some Special Classes of General Orthogonal Polynomials ‣ §18.2 General Orthogonal Polynomials ‣ General Orthogonal Polynomials ‣ Chapter 18 Orthogonal Polynomials
Monotonic Weight Functions ‣ §18.2(xii) Other Special Constructions Involving General OP’s ‣ §18.2 General Orthogonal Polynomials ‣ General Orthogonal Polynomials ‣ Chapter 18 Orthogonal Polynomials
Orthogonality on General Sets ‣ §18.2(i) Definition ‣ §18.2 General Orthogonal Polynomials ‣ General Orthogonal Polynomials ‣ Chapter 18 Orthogonal Polynomials
§18.2(v) Christoffel–Darboux Formula ‣ §18.2 General Orthogonal Polynomials ‣ General Orthogonal Polynomials ‣ Chapter 18 Orthogonal Polynomials
§18.31 Bernstein–Szegő Polynomials ‣ Other Orthogonal Polynomials ‣ Chapter 18 Orthogonal Polynomials
§18.33(iii) Connection with OP’s on the Line ‣ §18.33 Polynomials Orthogonal on the Unit Circle ‣ Other Orthogonal Polynomials ‣ Chapter 18 Orthogonal Polynomials
§18.33(ii) Recurrence Relations ‣ §18.33 Polynomials Orthogonal on the Unit Circle ‣ Other Orthogonal Polynomials ‣ Chapter 18 Orthogonal Polynomials
§18.33(i) Definition ‣ §18.33 Polynomials Orthogonal on the Unit Circle ‣ Other Orthogonal Polynomials ‣ Chapter 18 Orthogonal Polynomials
In §18.35(iii) Other Properties ‣ §18.35 Pollaczek Polynomials ‣ Other Orthogonal Polynomials ‣ Chapter 18 Orthogonal Polynomials
§18.35(iii) Other Properties ‣ §18.35 Pollaczek Polynomials ‣ Other Orthogonal Polynomials ‣ Chapter 18 Orthogonal Polynomials
§18.36(v) Non-Classical Laguerre Polynomials 𝐿^(-𝑘)_𝑛(𝑥), 𝑘={1,2⁢…} ‣ §18.36 Miscellaneous Polynomials ‣ Other Orthogonal Polynomials ‣ Chapter 18 Orthogonal Polynomials
In §18.3 Definitions ‣ Classical Orthogonal Polynomials ‣ Chapter 18 Orthogonal Polynomials
§18.5(iii) Finite Power Series, the Hypergeometric Function, and Generalized Hypergeometric Functions ‣ §18.5 Explicit Representations ‣ Classical Orthogonal Polynomials ‣ Chapter 18 Orthogonal Polynomials
§18.5(ii) Rodrigues Formulas ‣ §18.5 Explicit Representations ‣ Classical Orthogonal Polynomials ‣ Chapter 18 Orthogonal Polynomials
§18.5(i) Trigonometric Functions ‣ §18.5 Explicit Representations ‣ Classical Orthogonal Polynomials ‣ Chapter 18 Orthogonal Polynomials
§18.6(i) Symmetry and Special Values ‣ §18.6 Symmetry, Special Values, and Limits to Monomials ‣ Classical Orthogonal Polynomials ‣ Chapter 18 Orthogonal Polynomials
§18.7(iii) Limit Relations ‣ §18.7 Interrelations and Limit Relations ‣ Classical Orthogonal Polynomials ‣ Chapter 18 Orthogonal Polynomials
§18.7(ii) Quadratic Transformations ‣ §18.7 Interrelations and Limit Relations ‣ Classical Orthogonal Polynomials ‣ Chapter 18 Orthogonal Polynomials
§18.7(i) Linear Transformations ‣ §18.7 Interrelations and Limit Relations ‣ Classical Orthogonal Polynomials ‣ Chapter 18 Orthogonal Polynomials
§18.8 Differential Equations ‣ Classical Orthogonal Polynomials ‣ Chapter 18 Orthogonal Polynomials
§18.9(iii) Derivatives ‣ §18.9 Recurrence Relations and Derivatives ‣ Classical Orthogonal Polynomials ‣ Chapter 18 Orthogonal Polynomials
§18.9(ii) Contiguous Relations in the Parameters and the Degree ‣ §18.9 Recurrence Relations and Derivatives ‣ Classical Orthogonal Polynomials ‣ Chapter 18 Orthogonal Polynomials
§18.9(i) Recurrence Relations ‣ §18.9 Recurrence Relations and Derivatives ‣ Classical Orthogonal Polynomials ‣ Chapter 18 Orthogonal Polynomials
Chapter 18 Orthogonal Polynomials
Notations P ‣ Notations

Online Encyclopedia of Integer Sequences:

Hyperfactorials: Product_{k = 1..n} k^k.
Discriminant of Hermite polynomials.