The First Kind: Difference between revisions
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[[Airy Rough Notes]] | [[Airy Rough Notes]] | ||
[https://imkt.org/wp-content/uploads/2018/07/1135-00-1456.pdf | [https://imkt.org/wp-content/uploads/2018/07/1135-00-1456.pdf Bruce Miller, Cataloging DLMF’s Special Functions SS , JMM 2018] | ||
Revision as of 03:30, 12 August 2020
AiryAi ${\rm AiryAi}(z)$ --- note this is the single-variable case
- Sage: https://doc.sagemath.org/html/en/reference/functions/sage/functions/airy.html
- For numerical values using Arb see paper of Frederik Johansson
This module implements Airy functions and their generalized derivatives. It supports symbolic functionality through Maxima and numeric evaluation through mpmath and scipy.
Airy functions are solutions to the differential equation f″(x)−xf(x)=0
Four global function symbols are immediately available, please see
airy_ai(): for the Airy Ai function
airy_ai_prime(): for the first differential of the Airy Ai function
airy_bi(): for the Airy Bi function
airy_bi_prime(): for the first differential
of the Airy Bi function
- http://dlmf.nist.gov/9
- http://en.wikipedia.org/wiki/Airy_function
- http://www.encyclopediaofmath.org/index.php/Airy_functions
- http://mathworld.wolfram.com/AiryFunctions.html
Bruce Miller, Cataloging DLMF’s Special Functions SS , JMM 2018