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1: 4.7 Derivatives and Differential Equations
2: 5.22 Tables
Zhang and Jin (1996, pp. 67–69 and 72) tabulates Γ ( x ) , 1 / Γ ( x ) , Γ ( x ) , ln Γ ( x ) , ψ ( x ) , ψ ( x ) , ψ ( x ) , and ψ ( x ) for x = 0 ( .1 ) 5 to 8D or 8S; Γ ( n + 1 ) for n = 0 ( 1 ) 100 ( 10 ) 250 ( 50 ) 500 ( 100 ) 3000 to 51S. …
3: Bibliography U
  • K. M. Urwin and F. M. Arscott (1970) Theory of the Whittaker-Hill equation. Proc. Roy. Soc. Edinburgh Sect. A 69, pp. 28–44.
  • 4: 8.14 Integrals
    For additional integrals see Apelblat (1983, §8.2), Erdélyi et al. (1953b, §9.3), Erdélyi et al. (1954a, b), Gradshteyn and Ryzhik (2000, §6.45), Marichev (1983, pp.189–190), Oberhettinger (1972, pp. 68–69), Prudnikov et al. (1986b, §§1.2, 2.10), and Prudnikov et al. (1992a, §3.10).
    5: Bibliography E
  • A. Erdélyi (1944) Certain expansions of solutions of the Heun equation. Quart. J. Math., Oxford Ser. 15, pp. 62–69.
  • G. A. Evans and J. R. Webster (1999) A comparison of some methods for the evaluation of highly oscillatory integrals. J. Comput. Appl. Math. 112 (1-2), pp. 55–69.
  • 6: 4.4 Special Values and Limits
    7: 33.20 Expansions for Small | ϵ |
    8: 4.21 Identities
    9: 8.6 Integral Representations
    For collections of integral representations of γ ( a , z ) and Γ ( a , z ) see Erdélyi et al. (1953b, §9.3), Oberhettinger (1972, pp. 68–69), Oberhettinger and Badii (1973, pp. 309–312), Prudnikov et al. (1992b, §3.10), and Temme (1996b, pp. 282–283).
    10: Bibliography V
  • H. Van de Vel (1969) On the series expansion method for computing incomplete elliptic integrals of the first and second kinds. Math. Comp. 23 (105), pp. 61–69.