of the first and second kinds
(0.010 seconds)
11—20 of 205 matching pages
11: 19.7 Connection Formulas
12: 10.31 Power Series
13: 19.6 Special Cases
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►Exact values of and for various special values of are given in Byrd and Friedman (1971, 111.10 and 111.11) and Cooper et al. (2006).
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14: 19.38 Approximations
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►Minimax polynomial approximations (§3.11(i)) for and in terms of with can be found in Abramowitz and Stegun (1964, §17.3) with maximum absolute errors ranging from 4×10⁻⁵ to 2×10⁻⁸.
Approximations of the same type for and for are given in Cody (1965a) with maximum absolute errors ranging from 4×10⁻⁵ to 4×10⁻¹⁸.
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15: 19.3 Graphics
16: 10.38 Derivatives with Respect to Order
17: 10.27 Connection Formulas
18: 14.6 Integer Order
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14.6.2
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19: 10.30 Limiting Forms
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10.30.1
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10.30.2
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10.30.3
►For , when is purely imaginary and , see (10.45.2) and (10.45.7).
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►For see (10.25.3).