Mittag-Leffler function

[Stephen Crowley]

I don't see the Mittag-Leffler function in arb.. how is the recommended way to go about implementing it?

For integer α there is the confluent hypergeometric representation but I dont think this works for non-integers

[Stephen Crowley]

https://www.degruyter.com/document/doi/10.1515/9783110571684-013/pdf

Looks like Laplace inversion is the optimal way to evaluate it 

On Sat, Jul 30, 2022, 4:19 PM Stephen Crowley <stephenc...@gmail.com> wrote:

I don't see the Mittag-Leffler function in arb.. how is the recommended way to go about implementing it?

For integer α there is the confluent hypergeometric representation but I dont think this works for non-integers

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[Fredrik Johansson]

Yes, integral representations would be the way to do it.

There is already an open issue about implementing the Mittag-Leffler function: https://github.com/fredrik-johansson/arb/issues/430

Fredrik

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