Index N

$n$ -dimensional sphere
- gamma function §5.19(iii)
nanotubes
- Struve functions §11.12
Narayana numbers
- definition §26.6(i)
- generating function §26.6(ii)
- identity §26.6(iv)
- relation to lattice paths §26.6(i)
- table Table 26.6.3
negative definite
- Taylor series §1.5(iii)
neighborhood §1.5(i), §1.9(ii)
- cut §1.10(vi)
- of infinity §1.9(iv)
- punctured §1.10(iii)
Neumann-type expansions
- modified Bessel functions §10.44(iii)
Neumann’s addition theorem
- Bessel functions §10.23(ii)
- modified Bessel functions §10.44(ii)
Neumann’s expansion
- Bessel functions §10.23(iii)
Neumann’s integral
- Bessel functions §10.9(i)
- Legendre functions §14.12(ii)
Neumann’s polynomial
- Bessel functions §10.23(iii)
Nevai–Blumenthal class §18.2(xi)
Neville’s theta functions §20.1
- relations to Jacobian elliptic functions §22.2
Newton’s interpolation formula §3.3(iv)
Newton’s rule (or method) §3.8(ii)
- convergence §3.8(ii)
Nicholson-type integral
- parabolic cylinder functions §12.12
Nicholson’s integral
- Bessel functions §10.9(iii)
$\mathit{9j}$ symbols §34.6
- addition theorem §34.7(vi)
- applications §34.12
- approximations for large parameters §34.8
- computation §34.13
- definition §34.6
- generating functions §34.7(v)
- graphical method §34.9
- notation §34.1
- orthogonality §34.7(iv)
- recursion relations §34.7(iii)
- representation as
  - finite sum of $\mathit{3j}$ symbols §34.6
  - finite sum of $\mathit{6j}$ symbols §34.6
  - generalized hypergeometric functions §34.6
- special case §34.7(i)
- sum rule §34.7(vi)
- summation convention §34.3(iv)
- sums §34.7(vi)
- symmetry §34.7(ii)
- tables §34.14
- zeros §34.10

nodal polynomials §3.3(i)
nodes §3.5(iv), §3.5(v)
nome
- Jacobi’s §19.5
- Jacobian elliptic functions §22.2
- theta functions §20.1
- Weierstrass elliptic functions §23.1
non-classical Freud-type OP’s
- DVR representations of operators Table 18.39.1
- quantum field theory Table 18.39.1
nonlinear equations
- fixed points §3.8(i)
- numerical solutions
  - iterative methods §3.8—§3.8(vi)
- systems §3.8(vii)
nonlinear evolution equations
- Weierstrass elliptic functions §23.21(ii)
nonlinear harmonic oscillator
- Painlevé equations §32.2(iii)
nonlinear ordinary differential equations
- Jacobian elliptic functions §22.19(iii)
nonlinear partial differential equations
- Jacobian elliptic functions §22.19(iii)
Nörlund polynomials §24.16(i)
normal probability functions §7.1
Novikov’s conjecture
- Riemann theta functions §21.9
nuclear physics
- Coulomb functions §33.22(ii)
nuclear structure
- $\mathit{3j},\mathit{6j},\mathit{9j}$ symbols §34.12
number theory, see also additive number theory, multiplicative number theory, and prime numbers.
- Bernoulli and Euler numbers and polynomials §24.17(iii)
- generalized hypergeometric functions §16.23(iv)
- Jacobian elliptic functions §22.18(iv)
- modular functions §23.20(v)
- theta functions §20.12(i)
- Weierstrass elliptic functions §23.20(v)
number-theoretic functions Ch.27—§27.10
- completely multiplicative §27.3
- computation §27.20
- Dirichlet character §27.8
  - induced modulus §27.8
  - Legendre symbol §27.9
  - primitive §27.8
  - principal §27.8
- Dirichlet divisor problem §27.11
- divisor function §27.2(i)
- divisor sums §27.6
- inversion formulas §27.5
- Lambert series §27.7
- Möbius inversion §27.17, §27.5—§27.5
  - pairs §27.5
- multiplicative §27.3
- orthogonality §27.8
- periodic §27.10
- Ramanujan’s sum §27.10
- tables §27.21
numerator polynomials §18.2(x), §18.30(vi)
- Markov’s theorem §18.30(vi)
numerical differentiation, see differentiation, numerical.

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