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math.CA2018★ 4 cited
An integral that counts the zeros of a function
Norbert Hungerbühler, Micha Wasem
Given a real function on an interval satisfying mild regularity conditions, we determine the number of zeros of by evaluating a certain integral. The integrand depe…
math.CA2018★ 7 cited
Non-integer valued winding numbers and a generalized Residue Theorem
Norbert Hungerbühler, Micha Wasem
We define a generalization of the winding number of a piecewise cycle in the complex plane which has a geometric meaning also for points which lie on the cycle. The computati…