000			02631nam a22004815i 4500
001			978-3-540-40040-0
003			DE-He213
005			20160624101818.0
007			cr nn 008mamaa
008			121227s1983 gw | s |||| 0|eng d
020			_a9783540400400 _9978-3-540-40040-0
024	7		_a10.1007/BFb0070472 _2doi
050		4	_aQA297-299.4
072		7	_aPBKS _2bicssc
072		7	_aMAT021000 _2bisacsh
072		7	_aMAT006000 _2bisacsh
082	0	4	_a518 _223
100	1		_aEdrei, Albert. _eauthor.
245	1	0	_aZeros of Sections of Power Series _h[electronic resource] / _cby Albert Edrei, Edward B. Saff, Richard S. Varga.
260		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c1983.
264		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c1983.
300			_aX, 118 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aLecture Notes in Mathematics, _x0075-8434 ; _v1002
505	0		_aStatements 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.
650		0	_aMathematics.
650		0	_aNumerical analysis.
650	1	4	_aMathematics.
650	2	4	_aNumerical Analysis.
700	1		_aSaff, Edward B. _eauthor.
700	1		_aVarga, Richard S. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783540123187
786			_dSpringer
830		0	_aLecture Notes in Mathematics, _x0075-8434 ; _v1002
856	4	0	_uhttp://dx.doi.org/10.1007/BFb0070472
942			_2EBK1225 _cEBK
999			_c30519 _d30519