do we have relation between LommelS2 and MeijerG in matlab?

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gourav pandey
gourav pandey 2021-1-25
评论： Mubashara Wali 2021-4-5
Do we have matlab relation between two special function "LommelS2 and MeijerG"?
How to convert LommelS2 code into MeijerG?
Please help !!

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回答（2 个）

Walter Roberson
Walter Roberson 2021-1-25
编辑：Walter Roberson 2021-1-26
https://www.maplesoft.com/support/help/Maple/view.aspx?path=LommelS1
and scroll down to near the bottom to see the conversions.
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Walter Roberson
Walter Roberson 2021-4-5
I have corrected the ABC and regenerated the result. I had accidentally put in 1 - 1- alpha instead of 1 - alpha

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gourav pandey
gourav pandey 2021-4-5
编辑：gourav pandey 2021-4-5
Walter Roberson, thanks for your reply..can you help me here also
clc;
close;
clear all;
n=5;
h=@(omega1) 0;
for m= 0:1:n
mu1c = -(1./2).*n-(1./2).*m+3./2 ;
nu1c = (1./2).*n+(1./2).*m+1./2 ;
Lommels =@(omega1) meijerG([(1./2).*mu1c+1./2], [], [(1./2).*mu1c+1./2, (1./2).*nu1c, -(1./2).*nu1c], [], -(1./4).*omega1.^2).*2^mu1c./(2.*gamma(-(1./2).*mu1c+(1./2).*nu1c+1./2).*gamma(-(1./2).*mu1c-(1./2).*nu1c+1./2))
end
Lommels(1)
Lommels(10)
Lommels(99)
Lommels(100)
Lommels(500)
Lommels(1000)
%% Why m i getting sudden blow in value of 'Lommels' when omega1 veluse more than 120 or 150... it should decay as omega1 increase.
Thank you in advance!!

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