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Autore: | Edrei Albert |
Titolo: | Zeros of sections of power series / / Albert Edrei, Edward B. Saff, Richard S. Varga |
Pubblicazione: | Berlin, Heidelberg : , : Springer, , [1983] |
©1983 | |
Edizione: | 1st ed. 1983. |
Descrizione fisica: | 1 online resource (X, 118 p.) |
Disciplina: | 519.4 |
Soggetto topico: | Numerical analysis |
Persona (resp. second.): | SaffE. B. <1944-> |
VargaRichard S. | |
Note generali: | Bibliographic Level Mode of Issuance: Monograph |
Nota di contenuto: | 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. |
Titolo autorizzato: | Zeros of sections of power series |
ISBN: | 3-540-40040-0 |
Formato: | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione: | Inglese |
Record Nr.: | 996466574503316 |
Lo trovi qui: | Univ. di Salerno |
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