In this problem we are going to explore some applications of contour integrals. The application is not very obvious rather comes with many faces. First thing we are going to do is to evaluate summation of series using contour in- tegrals. We will consider the following series 1 (a + n)? n=-00 While this series at first glance seems a formidable opponent, we will see that using contour integrals we can evaluate it easily. Note that here a is not an integer.

In this problem we are going to explore some applications of contour integrals. The application is not very obvious rather comes with many faces. First thing we are going to do is to evaluate summation of series using contour in- tegrals. We will consider the following series 1 (a + n)? n=-00 While this series at first glance seems a formidable opponent, we will see that using contour integrals we can evaluate it easily. Note that here a is not an integer.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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