Dear all,
This week's talk is by Abdulhafeez Abdulsalam (University of Ibadan, Nigeria and ICTP, Italy). Here is the announcement.
Talk Announcement:
Title: Fourier sine and cosine transforms of expressions with nested square roots
Title: Fourier sine and cosine transforms of expressions with nested square roots
Speaker: Abdulhafeez Abdulsalam, University of Ibadan, Nigeria and ICTP, Italy
When: May 8, 2025, 4:00 PM- 5:00 PM IST (12:30 PM CET)
When: May 8, 2025, 4:00 PM- 5:00 PM IST (12:30 PM CET)
Where: Zoom: Please write to the organisers for a link
Live LInk: https://youtube.com/live/4_6SukI6IJ0?feature=share
Abstract
We begin by applying the Laplace transform to derive closed forms for several challenging integrals that seem nearly impossible to evaluate. Using the solution to the Pythagorean equation a^2 + b^2 = c^2, we find that these closed forms become even more intriguing. This approach enables us to propose new integral representations for the error function, with some of the resulting formulas appearing as Fourier sine and cosine transforms.
Best wishes,
Gaurav Bhatnagar, Atul Dixit and Krishnan Rajkumar (organisers)
