Index S
-
saddle points §2.4(iv)
- coalescing §2.4(v)
-
Schrödinger equation
- Airy functions §9.16
-
Scorer functions §9.12
- analytic properties §9.12(i)
- applications §9.16
-
approximations
- expansions in Chebyshev series §9.19(iv)
- asymptotic expansions §9.12(viii)
- computation §9.17(ii), §9.17(iii)
- connection formulas §9.12(v)
- definition §9.12(i)
-
differential equation §9.12(i)
- initial values §9.12(iii)
- numerically satisfactory solutions §9.12(iv)
- standard solutions §9.12(i)
- graphs §9.12(ii)
- integral representations §9.12(vii), §9.12(i), §9.12(vii)
-
integrals
- asymptotic expansions §9.12(viii)
- tables §9.18(vi)
- Maclaurin series §9.12(vi)
- notation §9.1
- tables §9.18(vi), §9.18(vi), §9.18(vi)
- zeros §9.12(ix)
-
Selberg-type integrals
- gamma function §5.14
-
separable Gauss sum
- number theory §27.10
-
sieve of Eratosthenes
-
symbols §34.4- addition theorem §34.5(vi)
- applications §34.12
- approximations for large parameters §34.8
- computation §34.13
-
definition §34.4
- alternative §34.5(vi)
- generating functions §34.5(v)
- graphical method §34.9
- notation §34.1
- orthogonality §34.5(iv)
- recursion relations §34.5(iii)
- Regge symmetries §34.5(ii)
- representation as
- special cases §34.5(i)
- summation convention §34.3(iv)
- sum rules §34.5(vi)
- sums §34.5(vi)
- symmetry §34.5(ii)
- tables §34.14
- zeros §34.10
-
spherical harmonics
-
relation to
symbols §34.3(vii)
-
relation to
-
statistical mechanics
- solvable models §5.20
- Stieltjes transform
- Stirling's formula §5.11(i)
- Stirling's series §5.11(i)
- Stokes line §2.11(iv)
- Stokes multipliers §2.7(ii)
-
Stokes phenomenon §2.11(iv)
- smoothing of §2.11(iv)
-
string theory
- beta function §5.20
- summation by parts §2.10(ii)
-
symmetric elliptic integrals
- asymptotic expansions §2.6(ii)