Location and Time: Vincent Hall 313, 2:30-3:20 MWF
Lecturer: Professor Dennis Stanton, Vincent Hall 253, 612-624-7544
Office Hours MWF 10:30-11:30 and by appointment
Text: "Orthogonal Polynomials of One Variable", by M. Ismail.
Other recommended reading: "Introduction to Orthogonal Polynomials" by T. Chihara
"Orthogonal Polynomials" by Szego
"Special Functions" by Andrews, Askey, Roy
e-mail address: stanton@math.umn.edu
web address: http://www.math.umn.edu/~stanton
Math Office: Vincent Hall 115, 625-4848
Topics: I will cover the introductory material on orthogonal polynomials on the real line. We will discuss the general combinatorial theory of paths behind it all, and then discuss the classical othogonal polynomials. Other topics will be discussed, such as q-versions, electrostatics, discriminants, indeterminate moment problems, and the toda lattice, and other material from our textbook. I hope to cover topics from Chapters 2-6, 9, 11,13-18, 21 or 22.
Grading and Exams: Each student will either present a paper or turn in correct solutions to an appropriate number of homework problems.