Real zeros of the Airy Ai function - Maple 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

AiryAiZeros1

AiryAiZeros1

(1)

evalfAiryAiZeros1

2.338107410

(2)

evalfAiryBiZeros1..4

1.173713223,3.271093303,4.830737842,6.169852128

(3)

AiryAiAiryAiZeros5

0

(4)

See Also

Airy, inifcns


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