The First Kind - Revision history

SemanticMathAdmin at 03:35, 12 August 2020

2020-08-12T03:35:56Z

← Older revision		Revision as of 03:35, 12 August 2020
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	[https://imkt.org/wp-content/uploads/2018/07/1135-00-1456.pdf Bruce Miller, Cataloging DLMF’s Special Functions SS , JMM 2018]		[https://imkt.org/wp-content/uploads/2018/07/1135-00-1456.pdf Bruce Miller, Cataloging DLMF’s Special Functions SS , JMM 2018]

			DLMF_AI
			* defines
			** ScorerGi
			*** parameters null
			*** definitionurl "http://dlmf.nist.gov/9.12.E4"
			*** signature "{\\Complexes\\mapsto\\Complexes}"
			*** arguments "{z}"
			*** description "{the Scorer (or inhomogeneous Airy) function $\\ScorerGi$}"
			** ScorerHi
			*** parameters null
			*** definitionurl "http://dlmf.nist.gov/9.12.E5"
			*** signature "{\\Complexes\\mapsto\\Complexes}"
			*** arguments "{z}"
			*** description "{the Scorer (or inhomogeneous Airy) function $\\ScorerHi$}"
			** AiryBi
			*** parameters null
			*** equiv "airy:Bi"
			*** definitionurl "http://dlmf.nist.gov/9.2.SS1"
			*** signature "{\\Complexes\\mapsto\\Complexes}"
			*** arguments "{z}"
			*** description "{the Airy function $\\AiryBi$}"
			** AiryAi
			*** parameters null
			*** equiv "airy:Ai"
			*** definitionurl "http://dlmf.nist.gov/9.2.SS1"
			*** signature "{\\Complexes\\mapsto\\Complexes}"
			*** arguments "{z}"
			*** description "{the Airy function $\\AiryAi$}"
			*** date "2018-08-09"
			** version "0"
			** status "experimental"
			** description "Definitions from Airy and Rel

SemanticMathAdmin at 03:30, 12 August 2020

2020-08-12T03:30:21Z

← Older revision		Revision as of 03:30, 12 August 2020
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	[[Airy Rough Notes]]		[[Airy Rough Notes]]

	[https://imkt.org/wp-content/uploads/2018/07/1135-00-1456.pdf \|Bruce Miller, Cataloging DLMF’s Special Functions SS , JMM 2018]		[https://imkt.org/wp-content/uploads/2018/07/1135-00-1456.pdf Bruce Miller, Cataloging DLMF’s Special Functions SS , JMM 2018]

SemanticMathAdmin at 03:29, 12 August 2020

2020-08-12T03:29:58Z

← Older revision		Revision as of 03:29, 12 August 2020
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	[[Airy Rough Notes]]		[[Airy Rough Notes]]

	[[https://imkt.org/wp-content/uploads/2018/07/1135-00-1456.pdf \|Bruce Miller, Cataloging DLMF’s Special Functions SS , JMM 2018]]		[https://imkt.org/wp-content/uploads/2018/07/1135-00-1456.pdf \|Bruce Miller, Cataloging DLMF’s Special Functions SS , JMM 2018]

SemanticMathAdmin at 03:29, 12 August 2020

2020-08-12T03:29:35Z

← Older revision		Revision as of 03:29, 12 August 2020
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	[[Airy Rough Notes]]		[[Airy Rough Notes]]

			[[https://imkt.org/wp-content/uploads/2018/07/1135-00-1456.pdf \|Bruce Miller, Cataloging DLMF’s Special Functions SS , JMM 2018]]

SemanticMathAdmin at 03:15, 12 August 2020

2020-08-12T03:15:16Z

← Older revision		Revision as of 03:15, 12 August 2020
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	${\rm Ai}(z)$ --- note this is the single-variable case		AiryAi ${\rm AiryAi}(z)$ --- note this is the single-variable case

	* Sage: https://doc.sagemath.org/html/en/reference/functions/sage/functions/airy.html		* Sage: https://doc.sagemath.org/html/en/reference/functions/sage/functions/airy.html
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	* http://www.encyclopediaofmath.org/index.php/Airy_functions		* http://www.encyclopediaofmath.org/index.php/Airy_functions
	* http://mathworld.wolfram.com/AiryFunctions.html		* http://mathworld.wolfram.com/AiryFunctions.html

			[[Airy Rough Notes]]

SemanticMathAdmin at 03:08, 12 August 2020

2020-08-12T03:08:48Z

← Older revision		Revision as of 03:08, 12 August 2020
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	</pre>		</pre>

			* http://dlmf.nist.gov/9
	* http://en.wikipedia.org/wiki/Airy_function		* http://en.wikipedia.org/wiki/Airy_function
	* http://dlmf.nist.gov/9
	* http://www.encyclopediaofmath.org/index.php/Airy_functions		* http://www.encyclopediaofmath.org/index.php/Airy_functions
	* http://mathworld.wolfram.com/AiryFunctions.html		* http://mathworld.wolfram.com/AiryFunctions.html

SemanticMathAdmin at 03:03, 12 August 2020

2020-08-12T03:03:38Z

← Older revision		Revision as of 03:03, 12 August 2020
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	of the Airy Bi function		of the Airy Bi function
	</pre>		</pre>

			* http://en.wikipedia.org/wiki/Airy_function
			* http://dlmf.nist.gov/9
			* http://www.encyclopediaofmath.org/index.php/Airy_functions
			* http://mathworld.wolfram.com/AiryFunctions.html

SemanticMathAdmin at 02:52, 12 August 2020

2020-08-12T02:52:12Z

← Older revision		Revision as of 02:52, 12 August 2020
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	${\rm Ai}(z)$		${\rm Ai}(z)$ --- note this is the single-variable case

	* Sage: https://doc.sagemath.org/html/en/reference/functions/sage/functions/airy.html		* Sage: https://doc.sagemath.org/html/en/reference/functions/sage/functions/airy.html
			** For numerical values using '''Arb''' see paper of [[Johansson-Iaas20160525.pdf \|Frederik Johansson]]
	<pre>		<pre>
	This module implements Airy functions and their generalized derivatives. It supports symbolic functionality through Maxima and numeric evaluation through mpmath and scipy.		This module implements Airy functions and their generalized derivatives. It supports symbolic functionality through Maxima and numeric evaluation through mpmath and scipy.

SemanticMathAdmin: Start

2020-08-12T02:41:55Z

Start

New page

${\rm Ai}(z)$

* Sage: https://doc.sagemath.org/html/en/reference/functions/sage/functions/airy.html
<pre>
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
</pre>