Index B

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

Barnes' beta integral §5.13
Barnes' $G$ -function
- asymptotic expansion §5.17
- definition §5.17
- infinite product §5.17
- integral representation §5.17
- recurrence relation §5.17
Bessel functions
- definite integrals §9.11(iii)
- envelope functions §2.8(iv)
- relation to Airy functions §9.6(i), §9.6(ii)
- relation to generalized Airy functions §9.13(i)
beta function §5.12
- applications
  - physical §5.20, §5.20
- definition §5.12
- integral representations §5.12
  - multidimensional §5.14
- integrals §5.13