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Home > Discriminants: calculation, properties, and connection to the root distribution of polynomials with rational generating functions

Discriminants: calculation, properties, and connection to the root distribution of polynomials with rational generating functions


Book Informaton

Author

Khang D. Tran

Series

PhD thesis at University of Illinois at Urbana-Champaign

Year of Publication

2012

Language

en

ARI Id

1673196908816


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Showing 1 to 20 of 29 entries
Chapters/HeadingsAuthor(s)PagesInfo
Chapter 1 Introduction 1
Chapter 2 New discriminant calculations: Triangular numbers and a di-
agonal sequence 4
21 Triangular numbers and Chebyshev polynomials 4
22 A linear polynomial transformation and its root distribution 7
23 The diagonal sequence of a resultant 9
Chapter 3 A property of q-discriminants of certain cubics 18
31 Factorization of the q-Discriminant 21
32 Sensitive Asymptotics 25
Chapter 4 Factorization of discriminants of transformed Chebyshev poly-
nomials: The Mutt and Jeff syndrome 32
41 Discriminant, resultant and Chebyshev polynomials 34
42 The Mutt and Jeff polynomial pair 36
43 The discriminant of J(x) 37
44 The discriminant of M(x) 40
45 The roots of M(x) and J(x) 42
Chapter 5 Roots of polynomials and their generating functions: A specific
example 49
51 A general form of the discriminant 52
52 Generating function for H (1)
Chapters/HeadingsAuthor(s)PagesInfo
Showing 1 to 20 of 29 entries
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