orthogonality relation

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1: 27.8 Dirichlet Characters

… ►If

\left(n,k\right)=1

, then the characters satisfy the orthogonality relation …

3: 18.38 Mathematical Applications

… ►The orthogonality relations in §34.3(iv) for the

3j

symbols can be rewritten in terms of orthogonality relations for Hahn or dual Hahn polynomials as given by §§18.2(i), 18.2(iii) and Table 18.19.1 or by §18.25(iii), respectively. … … ►The orthogonality relations (34.5.14) for the

6j

symbols can be rewritten in terms of orthogonality relations for Racah polynomials as given by (18.25.9)–(18.25.12). … …

4: 16.7 Relations to Other Functions

§16.7 Relations to Other Functions

…

5: 31.9 Orthogonality

… ►For corresponding orthogonality relations for Heun functions (§31.4) and Heun polynomials (§31.5), see Lambe and Ward (1934), Erdélyi (1944), Sleeman (1966a), and Ronveaux (1995, Part A, pp. 59–64). … ►For bi-orthogonal relations for path-multiplicative solutions see Schmidt (1979, §2.2). …

6: William P. Reinhardt

… ►Older work on the scattering theory of the atomic Coulomb problem led to the discovery of new classes of orthogonal polynomials relating to the spectral theory of Schrödinger operators, and new uses of old ones: this work was strongly motivated by his original ownership of a 1964 hard copy printing of the original AMS 55 NBS Handbook of Mathematical Functions. …

7: 29.14 Orthogonality

… ►First, the orthogonality relations (29.3.19) apply; see §29.12(i). …

8: 18.27 $q$ -Hahn Class

… ►Thus in addition to a relation of the form (18.27.2), such systems may also satisfy orthogonality relations with respect to a continuous weight function on some interval. … ►

§18.27(ii) $q$ -Hahn Polynomials

… ►The orthogonality relations are given by (18.27.2), with … ►

Discrete $q$ -Hermite II

… ►

Limit Relations

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9: 14 Legendre and Related Functions

Chapter 14 Legendre and Related Functions

…

10: 18 Orthogonal Polynomials

Chapter 18 Orthogonal Polynomials

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