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Feb 24, 2018 at 10:32 comment added Carlo Beenakker certainly, but it's the same expression, just written in an explicitly real form; it's usually like that with Mathematica, you need to work on the answer to arrive at a compact and clear formula.
Feb 24, 2018 at 9:33 comment added user64494 @Carlo Beenakker: Sorry, but the result of WA (see dropbox.com/s/rhqaox6fs6vkjen/as.docx?dl=0 ) differs from the result presented by you in your answer.
Feb 24, 2018 at 9:20 history edited Carlo Beenakker CC BY-SA 3.0
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Feb 24, 2018 at 9:09 comment added Carlo Beenakker Wolfram Alpha code
Feb 24, 2018 at 8:04 comment added user64494 @Carlo Beenakker: Can you kindly present the Mathematica code used by you to this end (I have in mind the asymptotics.)? BTW, the statement "I tried to use Maple to calculate the limit and the result is 0" in the question does not correspond to reality for Maple 2017.3 which fails with it
Feb 24, 2018 at 1:36 history edited Carlo Beenakker CC BY-SA 3.0
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Feb 24, 2018 at 0:18 comment added user431550 Okay, no problem:). Thank you very much and your reference book! I will try to look for this book in my school library.
Feb 23, 2018 at 21:43 comment added Carlo Beenakker I used Mathematica for this, but I presume it should be in Lin & Wong --- although I can't check because it's behind a paywall :(
Feb 23, 2018 at 21:30 vote accept user431550
Feb 23, 2018 at 21:24 comment added user431550 Yes! This is great! Thanks a lot for your help and nice pictures. May I ask where can I find this expression for 1F2? I went to the L.Luke's book. There are lots of transformations. Do I need to use the Bessel function? Thanks again!
Feb 23, 2018 at 20:56 history edited Carlo Beenakker CC BY-SA 3.0
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Feb 23, 2018 at 20:42 history edited Carlo Beenakker CC BY-SA 3.0
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Feb 23, 2018 at 20:31 history answered Carlo Beenakker CC BY-SA 3.0