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calculating 1F1 about flint HOT 7 OPEN

maitra avatar maitra commented on July 16, 2024
calculating 1F1

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Comments (7)

albinahlback avatar albinahlback commented on July 16, 2024

No problem! I think it is under this section of the documentation. If you are only interested in the real-valued function, please see this part of the documentation instead.

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fredrik-johansson avatar fredrik-johansson commented on July 16, 2024

Adding to that, if you only care about machine-precision floats, there is a function here.

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maitra avatar maitra commented on July 16, 2024

Thank you very much, @albinahlback and @fredrik-johansson -- I was looking at the source code trying to figure this out. I now see that the real version calls the complex version. Thanks again for the library!

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maitra avatar maitra commented on July 16, 2024

No problem! I think it is under this section of the documentation. If you are only interested in the real-valued function, please see this part of the documentation instead.

From the above, I read that void arb_hypgeom_1f1_integration is recommended for large arguments, but a > 1 and b - a > 1 but I was wondering, what is recommended for large x and a > b > 1?

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albinahlback avatar albinahlback commented on July 16, 2024

Why just not use the function arb_hypgeom_1f1 (aka arb_hypgeom_m)? Is there a reason for using that specific algorithm?

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maitra avatar maitra commented on July 16, 2024

Why just not use the function arb_hypgeom_1f1 (aka arb_hypgeom_m)? Is there a reason for using that specific algorithm?

Oh, because x is large for me, therefore I was looking for some easy way to calculate or some approximation.

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albinahlback avatar albinahlback commented on July 16, 2024

Ping @fredrik-johansson

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