AiryAiZeros - Maple Programming Help

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AiryAiZeros

Real zeros of the Airy Ai function

AiryBiZeros

Real zeros of the Airy Bi function

 Calling Sequence AiryAiZeros(n) AiryAiZeros(n1..n2) AiryBiZeros(n) AiryBiZeros(n1..n2)

Parameters

 n - algebraic expression (the index of a zero) n1, n2 - algebraic expressions (a range n1..n2 of indices for consecutive zeros)

Description

 • AiryAiZeros(n) denotes the n-th negative real root of the AiryAi function.
 • If n is numeric, then it must be a positive integer. In this case, a numerical approximation can be computed using the evalf procedure.
 • AiryAiZeros(n1..n2) represents the sequence of consecutive zeros with index from n1 to n2.
 • AiryBiZeros(n) and AiryBiZeros(n1..n2) correspond to the zeros of the AiryBi function.
 • These functions may use fsolve to find a floating point approximation for the zeros. To solve ill-conditioned problems, it is convenient to assign the name 'fulldigits' to the environment variable _Envfulldigits.

Examples

 > $\mathrm{AiryAiZeros}\left(1\right)$
 ${\mathrm{AiryAiZeros}}{}\left({1}\right)$ (1)
 > $\mathrm{evalf}\left(\mathrm{AiryAiZeros}\left(1\right)\right)$
 ${-}{2.338107410}$ (2)
 > $\mathrm{evalf}\left(\mathrm{AiryBiZeros}\left(1..4\right)\right)$
 ${-}{1.173713223}{,}{-}{3.271093303}{,}{-}{4.830737842}{,}{-}{6.169852128}$ (3)
 > $\mathrm{AiryAi}\left(\mathrm{AiryAiZeros}\left(5\right)\right)$
 ${0}$ (4)