# Analytic Theory of Polynomials

## Rahman, Qazi Ibadur; Schmeisser, Gerhard

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This text presents easy to understand proofs of some of the most difficult results about polynomials. It encompasses a self-contained account of the properties of polynomials as anlytic functions of a special kind.
The zeros of compositions of polynomials are also investigated along with their growth and some of these considerations lead to the study of analogous questions for trigonometric polynomials and certain transcendental entire functions. The strength of methods are fully explained and demonstrated by means of applications.

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Recensione:

Presents easy to understand proofs of some of the most difficult results about polynomials demonstrated by means of applications ... Brings to the subject an immense range of reference to the study of polynomials. Professional and academic mathematicians of complex analysis, approximation theory and theoretical numerical analysis; graduate students in mathematics; engineers, statisticians and theoretical physicists, who have an interest in the important results about polynomials, will not do better than start with reading and referring to this book. ( Current Engineering Practice)

A nicely written book that will be useful for scientists, engineers and mathematicians from other fields. It can be strongly recommended as an undergraduate or graduate text and as a comprehensive source for self study. ( EMS)

Contenuti:

• 1: Introduction
• I Critical Points in Term of Zeros2: Fundamental results on critical points
• 3: More sophisticated methods
• 4: More specific results on critical points
• 5: Applications to compositions of polynomials
• 6: Polynomials with real zeros
• 7: Conjectures and solutions
• II Zeros in Terms of Coefficients8: Inclusion of all zeros
• 9: Inclusion of some of the zeros
• 10: Number of zeros in an interval
• 11: Number of zeros in a domain
• III Extremal Properties12: Growth estimates
• 13: Mean values
• 14: Derivative estimates on the unit disc
• 15: Derivative estimates on the unit interval
• 16: Coefficient estimates
• Bibliography
• Index

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## 1.Analytic Theory of Polynomials: Critical Points, Zeros and Extremal Properties (London Mathematical Society Monographs)

Editore: Clarendon Press (2002)
ISBN 10: 0198534930 ISBN 13: 9780198534938
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Descrizione libro Clarendon Press, 2002. Hardcover. Condizione libro: New. book. Codice libro della libreria 0198534930

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## 2.Analytic Theory of Polynomials: Critical Points, Zeros and Extremal Properties

Editore: OUP Oxford (2016)
ISBN 10: 0198534930 ISBN 13: 9780198534938
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Descrizione libro OUP Oxford, 2016. Paperback. Condizione libro: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Codice libro della libreria ria9780198534938_lsuk

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## 3.Analytic Theory of Polynomials: Critical Points, Zeros and Extremal Properties (London Mathematical Society Monographs)

Editore: Oxford University Press, USA (2002)
ISBN 10: 0198534930 ISBN 13: 9780198534938
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Descrizione libro Oxford University Press, USA, 2002. Hardcover. Condizione libro: New. Codice libro della libreria DADAX0198534930

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## 4.Analytic Theory of Polynomials: Critical Points, Zeros and Extremal Properties (London Mathematical Society Monographs)

Editore: Clarendon Press (2002)
ISBN 10: 0198534930 ISBN 13: 9780198534938
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Descrizione libro Clarendon Press, 2002. Hardcover. Condizione libro: New. Codice libro della libreria INGM9780198534938

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## 5.Analytic Theory of Polynomials

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Descrizione libro Clarendon Press, 2002. HRD. Condizione libro: New. New Book.Shipped from US within 10 to 14 business days.THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Codice libro della libreria IP-9780198534938

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## 6.Analytic Theory of Polynomials

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Descrizione libro Clarendon Press, 2002. HRD. Condizione libro: New. New Book. Delivered from our US warehouse in 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND.Established seller since 2000. Codice libro della libreria IP-9780198534938

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## 7.Analytic Theory of Polynomials: Critical Points, Zeros and Extremal Properties (London Mathematical

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Descrizione libro Clarendon Press, 2017. Hardcover. Condizione libro: New. This item is printed on demand. Codice libro della libreria P110198534930

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## 8.Analytic Theory of Polynomials: Critical Points, Zeros and Extremal Properties (Hardback)

Editore: Oxford University Press, United Kingdom (2002)
ISBN 10: 0198534930 ISBN 13: 9780198534938
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Descrizione libro Oxford University Press, United Kingdom, 2002. Hardback. Condizione libro: New. 232 x 164 mm. Language: English . Brand New Book ***** Print on Demand *****.This text presents easy to understand proofs of some of the most difficult results about polynomials. It encompasses a self-contained account of the properties of polynomials as anlytic functions of a special kind. The zeros of compositions of polynomials are also investigated along with their growth and some of these considerations lead to the study of analogous questions for trigonometric polynomials and certain transcendental entire functions. The strength of methods are fully explained and demonstrated by means of applications. Codice libro della libreria APC9780198534938

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## 9.Analytic Theory of Polynomials: Critical Points, Zeros and Extremal Properties (Hardback)

Editore: Oxford University Press, United Kingdom (2002)
ISBN 10: 0198534930 ISBN 13: 9780198534938
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Descrizione libro Oxford University Press, United Kingdom, 2002. Hardback. Condizione libro: New. 232 x 164 mm. Language: English . Brand New Book ***** Print on Demand *****. This text presents easy to understand proofs of some of the most difficult results about polynomials. It encompasses a self-contained account of the properties of polynomials as anlytic functions of a special kind. The zeros of compositions of polynomials are also investigated along with their growth and some of these considerations lead to the study of analogous questions for trigonometric polynomials and certain transcendental entire functions. The strength of methods are fully explained and demonstrated by means of applications. Codice libro della libreria APC9780198534938

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## 10.Analytic Theory of Polynomials: Critical Points, Zeros and Extremal Properties (London Mathematical Society Monographs)

Editore: Clarendon Press (2017)
ISBN 10: 0198534930 ISBN 13: 9780198534938
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Descrizione libro Clarendon Press, 2017. Hardcover. Condizione libro: New. This item is printed on demand. Codice libro della libreria 0198534930

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