# AiryAiZero

AiryAiZero[k]

represents the k zero of the Airy function .

AiryAiZero[k,x0]

represents the k zero less than x0.

# Details

• Mathematical function, suitable for both symbolic and numerical manipulation.
• N[AiryAiZero[k]] gives a numerical approximation so long as the specified zero exists.
• AiryAiZero[k] represents the k zero less than 0.
• AiryAiZero can be evaluated to arbitrary numerical precision.
• AiryAiZero automatically threads over lists. »

# Examples

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## Basic Examples(4)

Evaluate numerically:

AiryAiZero gives the zeros of AiryAi:

Display zeros of the AiryAi function over a subset of the reals:

Series expansion at Infinity:

## Scope(12)

### Numerical Evaluation(5)

Find the third zero of :

Find the second zero of less than :

Evaluate numerically to high precision:

Evaluate efficiently at high precision:

Compute the elementwise values of an array using automatic threading:

Or compute the matrix AiryAiZero function using MatrixFunction:

Compute average-case statistical intervals using Around:

### Specific Values(4)

Limiting value at infinity:

The first three zeros:

Find the second zero of AiryAi using Solve:

### Visualization(2)

Display zeros of AiryAi function:

Show the second zero less than :

### Series Expansion(1)

Asymptotic behavior of AiryAiZero[k] for large k:

## Applications(1)

Display zeros on the plot:

Wolfram Research (2007), AiryAiZero, Wolfram Language function, https://reference.wolfram.com/language/ref/AiryAiZero.html.

#### Text

Wolfram Research (2007), AiryAiZero, Wolfram Language function, https://reference.wolfram.com/language/ref/AiryAiZero.html.

#### CMS

Wolfram Language. 2007. "AiryAiZero." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/AiryAiZero.html.

#### APA

Wolfram Language. (2007). AiryAiZero. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/AiryAiZero.html

#### BibTeX

@misc{reference.wolfram_2024_airyaizero, author="Wolfram Research", title="{AiryAiZero}", year="2007", howpublished="\url{https://reference.wolfram.com/language/ref/AiryAiZero.html}", note=[Accessed: 08-August-2024 ]}

#### BibLaTeX

@online{reference.wolfram_2024_airyaizero, organization={Wolfram Research}, title={AiryAiZero}, year={2007}, url={https://reference.wolfram.com/language/ref/AiryAiZero.html}, note=[Accessed: 08-August-2024 ]}