§9.10 Integrals
Contents
- §9.10(i) Indefinite Integrals
- §9.10(ii) Asymptotic Approximations
- §9.10(iii) Other Indefinite Integrals
- §9.10(iv) Definite Integrals
- §9.10(v) Laplace Transforms
- §9.10(vi) Mellin Transform
- §9.10(vii) Stieltjes Transforms
- §9.10(viii) Repeated Integrals
- §9.10(ix) Compendia
§9.10(i) Indefinite Integrals
§9.10(ii) Asymptotic Approximations
9.10.4,
9.10.5.
9.10.6,
9.10.7.
For higher terms in (9.10.4)–(9.10.7) see Vallée and Soares (2010, §3.1.3). For error bounds see Boyd (1993).
See also Muldoon (1970).
§9.10(iii) Other Indefinite Integrals
See also §9.11(iv).
§9.10(iv) Definite Integrals
9.10.11
,
,
9.10.12
§9.10(v) Laplace Transforms
9.10.13.
9.10.14.
9.10.15,
9.10.16.
For the confluent hypergeometric function and the incomplete gamma function see §§13.1, 13.2, and 8.2(i).
For Laplace transforms of products of Airy functions see Shawagfeh (1992).
§9.10(vi) Mellin Transform
9.10.17.
§9.10(vii) Stieltjes Transforms
§9.10(viii) Repeated Integrals
9.10.20
9.10.21
9.10.22