Help with symsum function?

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Phillip Hatfield
Phillip Hatfield on 10 Sep 2012
I'm trying to use symsum to sum an expression for a homework problem. Because it is a homework problem and I'm using the variable they plan to test the program with I assume that the summation must converge.
syms k n g;
r1 = symsum((1/n^5)*(192/pi^5)*(h/w)*tanh(n*pi*w/(2*h)),1,inf);
r2 = symsum((1/k^5)*(192/pi^5)*(h/w)*tanh(k*pi*w/(2*h)),3,inf);
r3 = symsum((1/g^5)*(192/pi^5)*(h/w)*tanh(g*pi*w/(2*h)),5,inf);
Rf = (12*u*Lc)/(h^3*w)*(1-(r1*r2*r3))^-1;
As far as I know this should give me the sums of those first functions and then the following expression give me the value I want, however this is the output I get:
Rf =
-3/(50000*((5507759538957653564026027263058221796454041*sum(tanh(pi*g)/g^5, g == 5..Inf)*sum(tanh(pi*k)/k^5, k == 3..Inf)*sum(tanh(pi*n)/n^5, n == 1..Inf))/178405961588244985132285746181186892047843328 - 1))
r1 =
(176600389502281*sum(tanh(pi*n)/n^5, n == 1..Inf))/562949953421312
r2 =
(176600389502281*sum(tanh(pi*k)/k^5, k == 3..Inf))/562949953421312
r3 =
(176600389502281*sum(tanh(pi*g)/g^5, g == 5..Inf))/562949953421312
If someone could help me fix whatever is wrong I would be very appreciative.
-Phil
  3 Comments
Phillip Hatfield
Phillip Hatfield on 11 Sep 2012
It doesn't look like it. I used symvar and it didn't return anything, not sure how I would get matlab to use the variables
Walter Roberson
Walter Roberson on 11 Sep 2012
You can specify the variable of summation in between the expression and the limits. For example,
symsum(1/k^2, k, 3, inf)

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