Index O

oblate spheroidal coordinates §30.14(i)
- Laplacian §30.14(iii)
- metric coefficients §30.14(ii)
Olver’s algorithm
- difference equations Table 3.6.1, §3.6(v)—§3.6(v)
Olver’s associated Legendre function §14.21(i), §14.3(ii)
Olver’s confluent hypergeometric function §13.1
Olver’s hypergeometric function §14.3(i), §15.1
OP’s, see also orthogonal polynomials.
open disks around infinity §1.9(iv)
open point set §1.6(iv), §1.9(ii)
optical diffraction
- Struve functions §11.12
optics
- canonical integrals §36.14(ii)
Orr–Sommerfeld equation
- Airy functions §9.16
ortho-normality relation
- eigenfunctions §1.18(viii)
  - continuous spectrum §1.18(vi)
  - discrete spectrum §1.18(ii)

orthogonal matrix polynomials §18.36(iv)
orthogonal polynomials, see also OP’s.
- classical, see classical orthogonal polynomials.
- complex §3.5(viii)
- corecursive §18.30(vi)
- denominator §18.30(vi)
- general, see general orthogonal polynomials.
- multiple §18.36(iii)
- nonsymmetric §18.38(iii)
- numerator §18.30(vi)
- Painlevé transcendents §32.15
- relations to confluent hypergeometric functions §13.18(v), §13.6(v)
- relations to hypergeometric function §15.9(i)—§15.9(i)
- semi-classical §18.2(xii)
- Sobolev §18.36(ii)
orthogonal polynomials associated with root systems §18.37(iii)
orthogonal polynomials on the triangle §18.37(ii)
orthogonal polynomials on the unit circle, see polynomials orthogonal on the unit circle.
orthogonal polynomials with Freud weights §18.32
oscillations of chains
- Bessel functions §10.73(i)
oscillations of plates
- Bessel functions §10.73(i)