1—10 of 97 matching pages
nonnegative integer, except in §9.9(iii).
§9.14 Incomplete Airy Functions►Incomplete Airy functions are defined by the contour integral (9.5.4) when one of the integration limits is replaced by a variable real or complex parameter. …
§9.15 Mathematical Applications►Airy functions play an indispensable role in the construction of uniform asymptotic expansions for contour integrals with coalescing saddle points, and for solutions of linear second-order ordinary differential equations with a simple turning point. …
§9.16 Physical Applications►Airy functions are applied in many branches of both classical and quantum physics. … ►In fluid dynamics, Airy functions enter several topics. …An application of Airy functions to the solution of this equation is given in Gramtcheff (1981). ►Airy functions play a prominent role in problems defined by nonlinear wave equations. …
5: 9.3 Graphics
§9.19(i) Approximations in Terms of Elementary Functions►
Martín et al. (1992) provides two simple formulas for approximating to graphical accuracy, one for , the other for .
§9.19(ii) Expansions in Chebyshev Series… ►
Razaz and Schonfelder (1980) covers , , , . The Chebyshev coefficients are given to 30D.