I am really confused about finding poles of certain complex functions.

93 Views Asked by At

There are certain complex functions which lack a proper denominator corresponding to which poles can be found for the given function. For example , the gaussian function, the frenel functions are some of the popular functions lacking any denominator, in the complex plane . So , as a result of those function lacking any pole , I am wondering how to evaluate their corresponding improper integrals using contour integration (complex analysis). Is there any way by which a denominator can be generated assuming certain conditions for those functions lacking denominator? I really want to clear the doubt regarding this ...All of yours opinions would be highly appreciabble in my regard. Thanks a lot in advance .