Beta and Airy Functions
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06-24-2015, 11:20 AM
Post: #1
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Beta and Airy Functions
Don't seem to be fully implemented on HP Prime.
XCAS: Input: Beta(x,y) Output: Gamma x * Gamma y / Gamma (x+y) Prime: ?????? XCAS: Input: Beta(n,2) Output: Gamma n / Gamma (n+2) Prime: ?????? XCAS: Input: Airy_Ai(1) Output: 0.135292416313 Prime: ???????? XCAS: Input: Airy_Bi(1) Output: 1.20742359495 Prime: ????????? Latest Software Rev. |
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06-24-2015, 02:39 PM
Post: #2
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RE: Beta and Airy Functions
All of these seem to be working fine for me and match xcas output.
Airy cant' be implemented on our end due to it using a numerical library we can't use at the moment - hence why it wasn't included. TW Although I work for HP, the views and opinions I post here are my own. |
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06-24-2015, 03:27 PM
Post: #3
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RE: Beta and Airy Functions
Anyone know an efficient way of caculating the Airy function?
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06-24-2015, 03:33 PM
Post: #4
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RE: Beta and Airy Functions
A burrito rich diet?
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06-24-2015, 06:48 PM
Post: #5
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RE: Beta and Airy Functions | |||
06-27-2015, 11:19 AM
Post: #6
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RE: Beta and Airy Functions
(06-24-2015 06:48 PM)parisse Wrote: http://people.math.sfu.ca/~cbm/aands/page_446.htm That method becomes unstable outside a range for z of about -10 to 10. I believe that is because the calculator is trying to divide one huge number by another huge number to get a small number. How can one calculate the airy function outside that range? Code:
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06-27-2015, 12:15 PM
Post: #7
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RE: Beta and Airy Functions
Thank you, parisse & more so roadrunner, here my translation of your programme for the 48G.
Code:
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06-27-2015, 12:41 PM
Post: #8
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RE: Beta and Airy Functions
For |z| large, you can use asymptotic series expansion near infinity.
http://people.math.sfu.ca/~cbm/aands/page_448.htm |
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06-27-2015, 05:25 PM
Post: #9
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RE: Beta and Airy Functions
& here's a sys version for the 49G.
Code:
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06-28-2015, 12:47 AM
Post: #10
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RE: Beta and Airy Functions
(06-27-2015 12:41 PM)parisse Wrote: For |z| large, you can use asymptotic series expansion near infinity. That's much better. Now it matches this web site: http://keisan.casio.com/exec/system/1180573401 pretty close. I only checked out to +/-100. Code:
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07-20-2015, 08:10 PM
Post: #11
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RE: Beta and Airy Functions
Thank You !!
A very useful program. Request for you: Could you please put the program in the HP Prime Software library section. So that other people can use the functions as well. Thank You Colm |
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07-20-2015, 08:55 PM
Post: #12
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RE: Beta and Airy Functions
Colm,
I had some issues with the version that I posted in this thread so I posted a newer version that clears up those issues and runs faster to boot. Road PS. Thanks to Mr. Parisse for teaching me asymptotic series expansion near infinity. |
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