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ReinerRoththesis.pdf (339.31 KB)
ETD Abstract Container
Abstract Header
Rodrigues Formula for Jacobi Polynomials on the Unit Circle
Author Info
Reiner-Roth, Griffin
Permalink:
http://rave.ohiolink.edu/etdc/view?acc_num=osu1365772575
Abstract Details
Year and Degree
, Master of Science, Ohio State University, Mathematics.
Abstract
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.
Committee
Rodica Costin (Advisor)
Barbara Keyfitz (Committee Member)
Subject Headings
Mathematics
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RIS
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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)
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Document number:
osu1365772575
Download Count:
3,428
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This open access ETD is published by The Ohio State University and OhioLINK.