Airy equation
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11—20 of 73 matching pages
11: 32.10 Special Function Solutions
§32.10(ii) Second Painlevé Equation
…12: 9.5 Integral Representations
13: 2.8 Differential Equations with a Parameter
14: Errata
Bounds have been sharpened. The second paragraph now reads, “The th error term is bounded in magnitude by the first neglected term multiplied by where for (9.7.7) and for (9.7.8), provided that in the first case and in the second case.” Previously it read, “In (9.7.7) and (9.7.8) the th error term is bounded in magnitude by the first neglected term multiplied by where for (9.7.7) and for (9.7.8), provided that in both cases.” In Equation (9.7.16)
the bounds on the right-hand sides have been sharpened. The factors , , were originally given by , , respectively.
The validity constraint was added. Additionally, specific source citations are now given in the metadata for all equations in Chapter 9 Airy and Related Functions.
The original equation taken from Schulten et al. (1979) was incorrect.
Reported 2015-03-20 by Walter Gautschi.
The original equation taken from Schulten et al. (1979) was incorrect.
Reported 2015-03-20 by Walter Gautschi.
Originally the second occurrence of the function was given incorrectly as .
Reported 2014-05-21 by Hanyou Chu.