incomplete integrals
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11—20 of 78 matching pages
11: 19.2 Definitions
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19.2.4
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19.2.5
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19.2.6
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19.2.11_5
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►Lastly, corresponding to Legendre’s incomplete integral of the third kind we have
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12: 19.4 Derivatives and Differential Equations
13: 19.39 Software
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§19.39(iii) Legendre’s and Bulirsch’s Incomplete Integrals
…14: 8.4 Special Values
15: 8.22 Mathematical Applications
§8.22 Mathematical Applications
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8.22.1
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8.22.2
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►The Debye functions
and are closely related to the incomplete Riemann zeta function and the Riemann zeta function.
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16: 19.7 Connection Formulas
17: 19.11 Addition Theorems
18: 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).