000 03793nam a22005175i 4500
001 978-3-540-47139-4
003 DE-He213
005 20190213151931.0
007 cr nn 008mamaa
008 121227s1990 gw | s |||| 0|eng d
020 _a9783540471394
_9978-3-540-47139-4
024 7 _a10.1007/BFb0087892
_2doi
050 4 _aQA299.6-433
072 7 _aPBK
_2bicssc
072 7 _aMAT034000
_2bisacsh
072 7 _aPBK
_2thema
082 0 4 _a515
_223
245 1 0 _aComputational Methods and Function Theory
_h[electronic resource] :
_bProceedings of a Conference, held in Valparaíso, Chile, March 13–18, 1989 /
_cedited by Stephan Ruscheweyh, Edward B. Saff, Luis C. Salinas, Richard S. Varga.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c1990.
300 _aVIII, 220 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 ;
_v1435
505 0 _aOpen problems and conjectures in complex analysis -- A remarkable cubic mean iteration -- On the maximal range problem for slit domains -- On bernstein type inequalities and a weighted chebyshev approximation problem on ellipses -- Conformal mapping and Fourier-Jacobi approximations -- Numerical solutions of the schiffer equation -- Behavior of the lagrange interpolants in the roots of unity -- Orthogonal polynomials, chain sequences, three-term recurrence relations and continued fractions -- On Thurston's formulation and proof of Andreev's theorem -- Hyperbolic geometry in spherically k-convex regions -- The Bloch and Marden constants -- On some analytic and computational aspects of two dimensional vortex sheet evolution -- On the numerical performance of a domain decomposition method for conformal mapping -- Planar harmonic mappings -- Extremal problems for non-vanishing H p functions -- Some results on separate convergence of continued fractions -- Asymptotics for the zeros of the partial sums of ez. II.
520 _aThe volume is devoted to the interaction of modern scientific computation and classical function theory. Many problems in pure and more applied function theory can be tackled using modern computing facilities: numerically as well as in the sense of computer algebra. On the other hand, computer algorithms are often based on complex function theory, and dedicated research on their theoretical foundations can lead to great enhancements in performance. The contributions - original research articles, a survey and a collection of problems - cover a broad range of such problems.
650 0 _aGlobal analysis (Mathematics).
650 0 _aAlgebra
_xData processing.
650 1 4 _aAnalysis.
_0http://scigraph.springernature.com/things/product-market-codes/M12007
650 2 4 _aSymbolic and Algebraic Manipulation.
_0http://scigraph.springernature.com/things/product-market-codes/I17052
700 1 _aRuscheweyh, Stephan.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aSaff, Edward B.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aSalinas, Luis C.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aVarga, Richard S.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662163214
776 0 8 _iPrinted edition:
_z9783540527688
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1435
856 4 0 _uhttps://doi.org/10.1007/BFb0087892
912 _aZDB-2-SMA
912 _aZDB-2-LNM
912 _aZDB-2-BAE
999 _c12381
_d12381