General orthogonal polynomials
Herbert Stahl
Reading Time
at 250 WPM4h 28m
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9
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268
total minutes
General orthogonal polynomials
Published
2010
Publisher
Cambridge University Press
Pages
268
ISBN-13
9780521135047
Description
In this treatise, the authors present the general theory of orthogonal polynomials on the complex plane and several of its applications. The assumptions on the measure of orthogonality are general, the only restriction is that it has compact support on the complex plane. In the development of the theory the main emphasis is on asymptotic behaviour and the distribution of zeros. In the following chapters, the author explores the exact upper and lower bounds are given for the orthonormal polynomials and for the location of their zeros; regular n-th root asymptotic behaviour; and applications of the theory, including exact rates for convergence of rational interpolants, best rational approximants and non-diagonal Pade approximants to Markov functions (Cauchy transforms of measures). The results are based on potential theoretic methods, so both the methods and the results can be extended to extremal polynomials in norms other than L2 norms. A sketch of the theory of logarithmic potentials is given in an appendix.
Subjects
Classical and Quantum Orthogonal Polynomials in One Variable
Orthogonal Polynomials
Introduction to real functions and orthogonal expansions
Introduction to orthogonal transforms
Notes on Tchebycheff polynomials
Orthogonal polynomials
Frequently Asked Questions
How many pages are in General orthogonal polynomials?
This edition of General orthogonal polynomials has approximately 268 pages. Please note, this is an estimate and the exact page count can vary between hardcover, paperback, and e-book versions.
How long does it take to read General orthogonal polynomials?
For most readers, General orthogonal polynomials typically takes between 5h 35m and 3h 43m to complete. This is based on the book's length of approximately 67,000 words and common reading speeds.
Here's a detailed breakdown: • Continuous reading at 250 WPM: approximately 4h 28m of focused reading • Casual reading (30 minutes/day): you could finish in roughly 9 days • Estimated word count: 67,000 words
Your individual reading time will vary based on your personal reading pace, the amount of daily reading time, and your familiarity with the subject matter.
What is the word count of General orthogonal polynomials?
The estimated word count for General orthogonal polynomials is approximately 67,000 words. This figure is calculated using industry-standard methods that consider genre-specific word density patterns, typical formatting and layout characteristics, and standard words-per-page ratios for published books.
This is an approximation — actual word count may vary based on font size, formatting, edition, and the presence of illustrations or charts.
Who is the author of General orthogonal polynomials?
General orthogonal polynomials was written by Herbert Stahl.
When was General orthogonal polynomials published?
The publication date for this specific edition is 2010. The original work may have been published on a different date.