Can Somebody help me to write this equation in Matlab to get the value of Lambda?

Somebody help me to write the given expression in Matlab to get the value of lambda. Thank you in advance. I have attached the jpg file along with it. |``` is a incomplete gamma function. Your response and help will be highly appreciated.

Answer 1

[Chris C]

In order to calculate the left hand side (LHS) you'll want to determine when the nth term is small enough to neglect. The following code employs a user defined tolerance to specify when to terminate the summation (while loop). Not knowing what m, gamma and lambda are I just put in a random tolerance. You'll have to decide upon that yourself. With this code you will be able to subtract the right hand side (RHS) from the LHS and then optimize around lambda using fminsearch (or the like).

LHS = 0;
nth_Term = 0;
Tol = 0.001;
k = 0;
while nth_Term > Tol
    nth_Term = (lambda*gamma/2)^k/(factorial(k)*(m+k)^0.5);
    LHS = LHS + nth_Term;
    k = k+1;
end

I just noticed you put in values for gamma and m, because of the size of gamma lambda had better be a fraction or this function will blow up. That knowledge will help to refine your optimization function.

[Ashish Rauniyar]

Dear Chris,

Thank you for the prompt reply. Much appreciated.

[Chris C]

Not a problem. Don't forget to "accept" comments that give a satisfactory solution to your question. That will help with the unanswered queue.

Answer 2

[Rizwana]

function [ans] = test(m,lamda)

r = factorial(m-1);

p = -lamda;

ans = exp(p)/r;

end

If you are interested in learning then start browsing mathworks help section

[Ashish Rauniyar]

Hello Rizwana,

Thank you for the reply. The Right hand side part is ok i can solve. Can you help me to write the left hand side part in Matlab so that i can get a value of lambda?

Regards,

Ashish Rauniyar