## Term Paper on Special Functions

Instead of a final this semester, you will be doing a term paper which consists
of picking a special function, researching it via the web and books and any
other way you wish, then writing a paper explaining the mathematics you have
learned. The best papers will also contain something you created yourself
such as an example to demonstrate understanding of the topic. The level of
the discussion and examples should be for college students. I am happy
to discuss the project with you, including helping you with the material.

The following is a list of possible topics. Feel free to choose another topic
as long as you check with me first to be sure the topic is suitable. Each
topic may be done by at most two students, so the first to ask for a topic
gets to do it.

- Bessel functions taken by Trish Sierra
- elliptic functions/integrals taken by Jenna Scott and Anna Grimmer
- Gamma function taken by Ben Johnson and Austin Clark
- Hermite polynomials/functions taken by Ashley Schnoor
- hypergeometric functions taken by Stephen Bagley
- Laguerre polynomials/functions taken by Lydia Hudson
- Legendre polynomials/functions taken by Cynthia Galvan
- Riemann zeta function taken by Michael Rugh and Abby Wiatrek
- Weierstrass P function taken by
- Lambert's W function defined by W(z)e^{W(z)}=z taken by
- Weierstrass function taken by Jill Bell

See the book for a list of questions to get you started.