equation 7.4.10 from handbook of mathematical functions

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Tammun filistin
Tammun filistin 2018-2-8
评论： Walter Roberson 2019-5-1
dear friends
how i can find the integral in the attached photo by MATLAB
fun = @(t) exp(-t.^2)/(t+1);
q = integral(fun,0,inf)
%%ı tried to write it in this way also but i couldnt have asolution
syms a t x
fun2=exp(-2*t.^2)/(t+1);
sol1 = int(fun2,t,0,inf);
  1 个评论
Walter Roberson
Walter Roberson 2018-2-8
For x = 1, MATLAB and Maple both give a MeijerG based result; Wolfram Alpha (Mathematica) times out trying to compute it in the free version.
For x not 1, none of the three will find the solution shown -- which, after all, just substitutes one indefinite integral for another.

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采纳的回答

Birdman
Birdman 2018-2-8
fun = @(t) exp(-t.^2)/(t+1);
q = integral(fun,0,inf,'ArrayValued',true)

更多回答（2 个）

Star Strider
Star Strider 2018-2-8
you need to vectorise the division as well as the exponentiation:
fun = @(t) exp(-t.^2)./(t+1);
↑ ← VECTORIZE HERE AS WELL
q = integral(fun,0,inf)
q =
0.605133652503344
samriti bali
samriti bali 2019-4-29
To walter Roberson sir .... i have a query regarding meijer G function...sir can u please tell me how to simulate the equation of meijer G function in matlab shown in pic ..sir Plz reply
query.jpg
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samriti bali
samriti bali 2019-4-30
Respected sir, i have already gone through this link and all other links....but nothing is clear from it...that's why i posted my query here...if u can tell me the format to write this equation in matlab then ur help will be beneficial for me.
Walter Roberson
Walter Roberson 2019-5-1
Calculate one term where j=0. The result will be 0 if the term is 0 and otherwise will be infinity times the sign of the term. You have posted an infinite sum whose terms do not vary with the variable of summation so you will either get +inf, 0, or -inf

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