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140122 ||| eng |
| 020 |
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|a 9783540400400
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| 100 |
1 |
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|a Edrei, A.
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| 245 |
0 |
0 |
|a Zeros of Sections of Power Series
|h Elektronische Ressource
|c by A. Edrei, E. B. Saff, R. S. Varga
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| 250 |
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|a 1st ed. 1983
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| 260 |
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|a Berlin, Heidelberg
|b Springer Berlin Heidelberg
|c 1983, 1983
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| 300 |
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|a X, 118 p
|b online resource
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| 505 |
0 |
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|a 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
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| 653 |
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|a Numerical Analysis
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| 653 |
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|a Numerical analysis
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| 700 |
1 |
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|a Saff, E. B.
|e [author]
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| 700 |
1 |
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|a Varga, R. S.
|e [author]
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| 041 |
0 |
7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b SBA
|a Springer Book Archives -2004
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| 490 |
0 |
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|a Lecture Notes in Mathematics
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| 028 |
5 |
0 |
|a 10.1007/BFb0070472
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| 856 |
4 |
0 |
|u https://doi.org/10.1007/BFb0070472?nosfx=y
|x Verlag
|3 Volltext
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| 082 |
0 |
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|a 518
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