do we have relation between LommelS2 and MeijerG in matlab?

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Do we have matlab relation between two special function "LommelS2 and MeijerG"?
How to convert LommelS2 code into MeijerG?
Please help !!

Answers (2)

Walter Roberson
Walter Roberson on 25 Jan 2021
Edited: Walter Roberson on 26 Jan 2021
and scroll down to near the bottom to see the conversions.
  19 Comments

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gourav pandey
gourav pandey on 5 Apr 2021
Edited: gourav pandey on 5 Apr 2021
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!!
  1 Comment
Walter Roberson
Walter Roberson on 5 Apr 2021
You are overwriting Lommels within the loop, so the final result will reflect only m == n

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