Zeros of Sections of Power Series
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| Главные авторы: | , , |
|---|---|
| Формат: | Livre numérique |
| Язык: | Anglais |
| Опубликовано: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Серии: | Lecture notes in mathematics
1002 |
| Предметы: | |
| Online-ссылка: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Примечание: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Zeros of sections of power series, Albert Edrei, Edward B. Saff, Richard S. Varga, 1983, Berlin [etc.], Springer-Verlag, 1 vol. (VIII-115 p.), Lecture notes in mathematics, 3-540-12318-0 • Zeros of Sections of Power Series, Texte imprimé, 9783662176269 |
Оглавление:
- 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.