Index G

♦A♦B♦C♦D♦E♦F♦G♦H♦I♦J♦K♦L♦M♦N♦O♦P♦Q♦R♦S♦T♦V♦W♦

gamma function Ch.5
- analytic properties §5.2(i)
- applications
  - mathematical §5.19
  - physical §5.20, §5.20
- approximations
  - Chebyshev series §5.23(ii)
  - complex variables §5.23(iii)
  - rational §5.23(i), §5.23(iii)
- asymptotic expansions §5.11, §5.11(iii)
  - error bounds §5.11(ii)
  - exponentially-improved §5.11(ii)
  - for ratios §5.11(iii)
- Bohr-Mollerup theorem §5.5(iv)
- computation §5.21
- continued fraction §5.10
- definition §5.2(i)
- duplication formula §5.5(iii)
- Euler's integral §5.2(i)
- extrema
  - asymptotic approximation §5.4(iii)
  - table of §5.4(iii)
- Gauss's multiplication formula §5.5(iii)
- graphics §5.3, §5.3(ii)
- inequalities §5.6
- infinite products §5.8
- integral representations §5.13, §5.14, §5.9, §5.9(i)
  - for derivatives §5.9(ii)
  - multidimensional §5.14, §5.14
- logarithm
  - continued fraction §5.10
  - convexity §5.5(iv)
  - graphics §5.3(i)
  - integral representations §5.9(i)
  - Taylor series §5.7(i)
- multiplication formulas §5.5(iii)
- notation §5.1
- reciprocal
  - analytic properties §5.2(i)
  - graphics §5.3(i), §5.3(ii)
  - Maclaurin series §5.7(i)
  - zeros §5.2(i)
- recurrence relation §5.5(i)
- reflection formula §5.5(ii)
- special values §5.4
- tables §5.22(ii), §5.22(iii)

Gaunt coefficient
- $3j$ symbol §34.3(vii)
Gaunt's integral
- $3j$ symbol §34.3(vii)
Gauss sum
- number theory
  - Dirichlet character §27.10
  - separable §27.10
generalized Airy functions
- from differential equation §9.13, §9.13(i)
  - asymptotic approximations §9.13(i)
  - definitions §9.13(i)
  - relation to Bessel functions §9.13(i)
  - relation to modified Bessel functions §9.13(i)
  - tables §9.18(vii)
- from integral representations §9.13(ii), §9.13(ii)
  - connection formulas §9.13(ii)
  - definitions §9.13(ii)
  - difference equation §9.13(ii)
  - differential equation §9.13(ii)
generalized exponential integrals
- large argument §2.11(ii)
generalized functions §2.6(iv)
generalized hypergeometric function ${{}_{{0}}F_{{2}}}$
- large argument §2.10(iii)
generalized integrals
- asymptotic expansions §2.6(i)
Glaisher's constant §2.10(i), §5.17
Goldbach conjecture
- number theory §27.13(ii)