Buy General Orthogonal Polynomials Book by Herbert Stahl
close menu
Bookswagon
search
My Account
Home > Mathematics and Science books > Mathematics > Calculus and mathematical analysis > General Orthogonal Polynomials: (Series Number 43 Encyclopedia of Mathematics and its Applications)
General Orthogonal Polynomials: (Series Number 43 Encyclopedia of Mathematics and its Applications)

General Orthogonal Polynomials: (Series Number 43 Encyclopedia of Mathematics and its Applications)


     0     
5
4
3
2
1



International Edition


X
About the Book

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 first two chapters exact upper and lower bounds are given for the orthonormal polynomials and for the location of their zeros. The next three chapters deal with regular n-th root asymptotic behaviour, which plays a key role both in the theory and in its applications. Orthogonal polynomials with this behaviour correspond to classical orthogonal polynomials in the general case, and many extremal properties of measures in mathematical analysis and approximation theory with this type of regularity turn out to be equivalent. Several easy-to-use criteria are presented for regular behaviour. The last chapter contains 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.

Table of Contents:
Introduction; 1. Upper and lower bounds; 2. Zero distribution of orthogonal polynomials; 3. Regular n-th root asymptotic behaviour of orthogonal polynomials; 4. Regularity criteria; 5. Localization; 6. Applications; Appendix; Notes and bibliographical references; Bibliography; List of symbols; Index.

Review :
"...a well-written, well laid out, interesting research monograph, essential to anyone involved in complex approximation, orthogonal polynomials, rational approximation, and applications of potential theory in the plane." D. S. Lubinsky, Bulletin of the American Mathematical Society "A truly wonderful...book. It should be on the shelf of anyone who seriously wants to study orthogonal polynomials." Walter Van Assche, Mathematical Reviews "...an important...book, necessary to anybody interested in advanced features of complex approximation theory, orthogonal polynomials, measure theory, and logarithmic potential theory." Alphonse Magnus and Walter Van Assche, Journal of Aapproximation Theory


Best Sellers


Product Details
  • ISBN-13: 9780521415347
  • Publisher: Cambridge University Press
  • Publisher Imprint: Cambridge University Press
  • Height: 243 mm
  • No of Pages: 268
  • Returnable: N
  • Series Title: Series Number 43 Encyclopedia of Mathematics and its Applications
  • Weight: 616 gr
  • ISBN-10: 0521415349
  • Publisher Date: 24 Apr 1992
  • Binding: Hardback
  • Language: English
  • Returnable: N
  • Returnable: N
  • Spine Width: 20 mm
  • Width: 163 mm


Similar Products

Add Photo
Add Photo

Customer Reviews

REVIEWS      0     
Click Here To Be The First to Review this Product
General Orthogonal Polynomials: (Series Number 43 Encyclopedia of Mathematics and its Applications)
Cambridge University Press -
General Orthogonal Polynomials: (Series Number 43 Encyclopedia of Mathematics and its Applications)
Writing guidlines
We want to publish your review, so please:
  • keep your review on the product. Review's that defame author's character will be rejected.
  • Keep your review focused on the product.
  • Avoid writing about customer service. contact us instead if you have issue requiring immediate attention.
  • Refrain from mentioning competitors or the specific price you paid for the product.
  • Do not include any personally identifiable information, such as full names.

General Orthogonal Polynomials: (Series Number 43 Encyclopedia of Mathematics and its Applications)

Required fields are marked with *

Review Title*
Review
    Add Photo Add up to 6 photos
    Would you recommend this product to a friend?
    Tag this Book Read more
    Does your review contain spoilers?
    What type of reader best describes you?
    I agree to the terms & conditions
    You may receive emails regarding this submission. Any emails will include the ability to opt-out of future communications.

    CUSTOMER RATINGS AND REVIEWS AND QUESTIONS AND ANSWERS TERMS OF USE

    These Terms of Use govern your conduct associated with the Customer Ratings and Reviews and/or Questions and Answers service offered by Bookswagon (the "CRR Service").


    By submitting any content to Bookswagon, you guarantee that:
    • You are the sole author and owner of the intellectual property rights in the content;
    • All "moral rights" that you may have in such content have been voluntarily waived by you;
    • All content that you post is accurate;
    • You are at least 13 years old;
    • Use of the content you supply does not violate these Terms of Use and will not cause injury to any person or entity.
    You further agree that you may not submit any content:
    • That is known by you to be false, inaccurate or misleading;
    • That infringes any third party's copyright, patent, trademark, trade secret or other proprietary rights or rights of publicity or privacy;
    • That violates any law, statute, ordinance or regulation (including, but not limited to, those governing, consumer protection, unfair competition, anti-discrimination or false advertising);
    • That is, or may reasonably be considered to be, defamatory, libelous, hateful, racially or religiously biased or offensive, unlawfully threatening or unlawfully harassing to any individual, partnership or corporation;
    • For which you were compensated or granted any consideration by any unapproved third party;
    • That includes any information that references other websites, addresses, email addresses, contact information or phone numbers;
    • That contains any computer viruses, worms or other potentially damaging computer programs or files.
    You agree to indemnify and hold Bookswagon (and its officers, directors, agents, subsidiaries, joint ventures, employees and third-party service providers, including but not limited to Bazaarvoice, Inc.), harmless from all claims, demands, and damages (actual and consequential) of every kind and nature, known and unknown including reasonable attorneys' fees, arising out of a breach of your representations and warranties set forth above, or your violation of any law or the rights of a third party.


    For any content that you submit, you grant Bookswagon a perpetual, irrevocable, royalty-free, transferable right and license to use, copy, modify, delete in its entirety, adapt, publish, translate, create derivative works from and/or sell, transfer, and/or distribute such content and/or incorporate such content into any form, medium or technology throughout the world without compensation to you. Additionally,  Bookswagon may transfer or share any personal information that you submit with its third-party service providers, including but not limited to Bazaarvoice, Inc. in accordance with  Privacy Policy


    All content that you submit may be used at Bookswagon's sole discretion. Bookswagon reserves the right to change, condense, withhold publication, remove or delete any content on Bookswagon's website that Bookswagon deems, in its sole discretion, to violate the content guidelines or any other provision of these Terms of Use.  Bookswagon does not guarantee that you will have any recourse through Bookswagon to edit or delete any content you have submitted. Ratings and written comments are generally posted within two to four business days. However, Bookswagon reserves the right to remove or to refuse to post any submission to the extent authorized by law. You acknowledge that you, not Bookswagon, are responsible for the contents of your submission. None of the content that you submit shall be subject to any obligation of confidence on the part of Bookswagon, its agents, subsidiaries, affiliates, partners or third party service providers (including but not limited to Bazaarvoice, Inc.)and their respective directors, officers and employees.

    Accept

    Fresh on the Shelf


    Inspired by your browsing history


    Your review has been submitted!

    You've already reviewed this product!
    Your IP: 216.73.216.237 IN