Skip to Main Content
 

Global Search Box

 
 
 
 

ETD Abstract Container

Abstract Header

Rodrigues Formula for Jacobi Polynomials on the Unit Circle

Reiner-Roth, Griffin

Abstract Details

, Master of Science, Ohio State University, Mathematics.
We begin by discussing properties of orthogonal polynomials on a Borel measurable subset of the complex plane. Then we focus on Jacobi polynomials and give a formula (analogous to the one discovered by R. D. Costin) for finding Jacobi polynomials on the unit circle. Finally, we consider some examples of Jacobi polynomials and demonstrate different methods of discovering them.
Rodica Costin (Advisor)
Barbara Keyfitz (Committee Member)

Recommended Citations

Citations

  • Reiner-Roth, G. (n.d.). Rodrigues Formula for Jacobi Polynomials on the Unit Circle [Master's thesis, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1365772575

    APA Style (7th edition)

  • Reiner-Roth, Griffin. Rodrigues Formula for Jacobi Polynomials on the Unit Circle. Ohio State University, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1365772575.

    MLA Style (8th edition)

  • Reiner-Roth, Griffin. "Rodrigues Formula for Jacobi Polynomials on the Unit Circle." Master's thesis, Ohio State University. Accessed MARCH 19, 2024. http://rave.ohiolink.edu/etdc/view?acc_num=osu1365772575

    Chicago Manual of Style (17th edition)