Buch, Englisch, Band 1002, 118 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 201 g
Reihe: Lecture Notes in Mathematics
Buch, Englisch, Band 1002, 118 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 201 g
Reihe: Lecture Notes in Mathematics
ISBN: 978-3-540-12318-7
Verlag: Springer Berlin Heidelberg
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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.