incomplete gamma functions
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11: 8.4 Special Values
12: 8.12 Uniform Asymptotic Expansions for Large Parameter
§8.12 Uniform Asymptotic Expansions for Large Parameter
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8.12.3
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8.12.4
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►For other uniform asymptotic approximations of the incomplete gamma functions in terms of the function
see Paris (2002b) and Dunster (1996a).
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Inverse Function
…13: 8.1 Special Notation
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►Unless otherwise indicated, primes denote derivatives with respect to the argument.
►The functions treated in this chapter are the incomplete gamma functions
, , , , and ; the incomplete beta functions
and ; the generalized exponential integral ; the generalized sine and cosine integrals , , , and .
►Alternative notations include: Prym’s functions
, , Nielsen (1906a, pp. 25–26), Batchelder (1967, p. 63); , , Dingle (1973); , , Magnus et al. (1966); , , Luke (1975).