000 02797nam a22004695i 4500
001 978-3-540-40040-0
003 DE-He213
005 20190213151236.0
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 _aPBKS
_2thema
082 0 4 _a518
_223
100 1 _aEdrei, Albert.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aZeros of Sections of Power Series
_h[electronic resource] /
_cby Albert Edrei, Edward B. Saff, Richard S. Varga.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_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 _aNumerical analysis.
650 1 4 _aNumerical Analysis.
_0http://scigraph.springernature.com/things/product-market-codes/M14050
700 1 _aSaff, Edward B.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aVarga, Richard S.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662176269
776 0 8 _iPrinted edition:
_z9783540123187
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1002
856 4 0 _uhttps://doi.org/10.1007/BFb0070472
912 _aZDB-2-SMA
912 _aZDB-2-LNM
912 _aZDB-2-BAE
999 _c9999
_d9999