Zeros of Sections of Power Series / by Albert Edrei, Edward B. Saff, Richard S. Varga.

Format:

Book

Author/Creator:

Edrei, Albert, author.

Saff, E. B., 1944- author.

Varga, Richard S., author.

Contributor:

SpringerLink (Online service)

Series:

Lecture Notes in Mathematics, 0075-8434 ; 1002.

Lecture Notes in Mathematics, 0075-8434 ; 1002

Language:

English

Subjects (All):

Numerical analysis.

Numerical Analysis.

Local Subjects:

Numerical Analysis.

Physical Description:

1 online resource (X, 118 pages).

Contained In:

Springer eBooks

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1983.

System Details:

text file PDF

Contents:

Statements of our results

Discussion of our numerical results

Outline of the method

Notational conventions

Properties of the Mittag-Leffler function of order 1 < ?<?

Estimates for Gm(w) and Qm(w)

A differential equation

Estimates for Jm(w) near the circumference |w|=1

Existence and uniqueness of the Szegö curve

Crude estimates for |Um(w)| and |Qm(w)|

Proof of Theorem 5

Proof of Theorem 1

Proof of Theorem 2

The circular portion of the Szegö curve (Proof of Theorem 3)

Proof of Theorem 4

Proof of Theorem 6

Properties of £-functions; proof of assertion I of Theorem 7

£-functions of genus zero are admissible in the sense of Hayman

The functions Um(w), Qm(w), Gm(w) associated with £-functions of genus zero

Estimates for Um(w)

Determination of lim ?m(?)

Comparison with integrals; proof of assertion II of Theorem 7

The Szegö curves for £-functions of genus zero

Estimates for Um(?mei?w)

Proof of assertion IV of Theorem 7.

Other Format:

Printed edition:

ISBN:

9783540400400

Access Restriction:

Restricted for use by site license.