Help finding the result of a sum over a lattice with two variables
$begingroup$
I would need some help for finding a closed form for
$$f(a,b):=sum_{(k,l)inmathbb{Z}^2, lne0}frac{1}{(2 i k a pi +
l b) (2 i (k - l) a pi + l b)}$$
In general, I do not know many strategies for solving double summations. How could I proceed in this situation?
Thank you.
summation closed-form integer-lattices summation-method
asked Nov 30 '18 at 10:38
user3141592user3141592
852622
$endgroup$
add a comment |
$begingroup$
I would need some help for finding a closed form for
$$f(a,b):=sum_{(k,l)inmathbb{Z}^2, lne0}frac{1}{(2 i k a pi +
l b) (2 i (k - l) a pi + l b)}$$
In general, I do not know many strategies for solving double summations. How could I proceed in this situation?
Thank you.
summation closed-form integer-lattices summation-method
asked Nov 30 '18 at 10:38
user3141592user3141592
852622
$endgroup$
add a comment |
$begingroup$
I would need some help for finding a closed form for
$$f(a,b):=sum_{(k,l)inmathbb{Z}^2, lne0}frac{1}{(2 i k a pi +
l b) (2 i (k - l) a pi + l b)}$$
In general, I do not know many strategies for solving double summations. How could I proceed in this situation?
Thank you.
summation closed-form integer-lattices summation-method
asked Nov 30 '18 at 10:38
user3141592user3141592
852622
$endgroup$
I would need some help for finding a closed form for
$$f(a,b):=sum_{(k,l)inmathbb{Z}^2, lne0}frac{1}{(2 i k a pi +
l b) (2 i (k - l) a pi + l b)}$$
In general, I do not know many strategies for solving double summations. How could I proceed in this situation?
Thank you.
summation closed-form integer-lattices summation-method
summation closed-form integer-lattices summation-method
asked Nov 30 '18 at 10:38
user3141592user3141592
852622
asked Nov 30 '18 at 10:38
user3141592user3141592
852622
edited Dec 2 '18 at 11:16
user3141592
asked Nov 30 '18 at 10:38
user3141592user3141592
852622
asked Nov 30 '18 at 10:38
user3141592user3141592
852622
asked Nov 30 '18 at 10:38
user3141592user3141592
852622
852622
add a comment |
add a comment |
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