Seminar Details
Gosper's Algorithm and Bell Numbers
- Start Date: February 16, 2023
- Event Start Time: 5:00 PM
- Event End Time: 6:00 PM
- Seminar Series: Experimental Math Seminar
- Presenter(s): Robert Dougherty Bliss - Rutgers University
- Event Location: Online Event
- Event Additional Info: <p>Presented Via Zoom: <a href="https://rutgers.zoom.us/j/94346444480">https://rutgers.zoom.us/j/94346444480</a></p> <p>Password: 6564120420</p> <p>For further information see: <a href="https://sites.math.rutgers.edu/~zeilberg/expmath/">https://sites.math.rutgers.edu/~zeilberg/expmath/</a></p>
- Presentation Type: Stand Alone Presentation
- Abstract:
Computers are now very good at evaluating finite sums in closed form. They can do them almost instantly and can often prove that a sum cannot be evaluated in closed form, like the partial sums of k!. Just like in calculus, we can fix summands that don't yield closed forms by multiplying them by a suitable "summation factor." I will show that this idea, applied to sums of falling factorials, produces sequences of polynomials closely related to the Bell numbers.
Link to video: https://vimeo.com/801007617