relation to Airy function
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1—10 of 46 matching pages
1: 9.6 Relations to Other Functions
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§9.6(i) Airy Functions as Bessel Functions, Hankel Functions, and Modified Bessel Functions
… ►§9.6(ii) Bessel Functions, Hankel Functions, and Modified Bessel Functions as Airy Functions
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9.6.20
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§9.6(iii) Airy Functions as Confluent Hypergeometric Functions
…2: 13.18 Relations to Other Functions
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§13.18(iii) Modified Bessel Functions
…3: 13.6 Relations to Other Functions
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§13.6(iii) Modified Bessel Functions
…4: 36.2 Catastrophes and Canonical Integrals
5: 9.9 Zeros
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§9.9(ii) Relation to Modulus and Phase
…6: 9.13 Generalized Airy Functions
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►Swanson and Headley (1967) define independent solutions and of (9.13.1) by
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►Their relations to the functions
and are given by
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7: 9.16 Physical Applications
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►The use of Airy function and related uniform asymptotic techniques to calculate amplitudes of polarized rainbows can be found in Nussenzveig (1992) and Adam (2002).
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8: 9.8 Modulus and Phase
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►(These definitions of and differ from Abramowitz and Stegun (1964, Chapter 10), and agree more closely with those used in Miller (1946) and Olver (1997b, Chapter 11).)
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9: Philip J. Davis
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►After receiving an overview of the project and watching a short demo that included a few preliminary colorful, but static, 3D graphs constructed for the first Chapter, “Airy and Related Functions”, written by Olver, Davis expressed the hope that designing a web-based resource would allow the team to incorporate interesting computer graphics, such as function surfaces that could be rotated and examined.
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