See this document in CiteSeerX!

A Survey Of Applications Of The Julia Variation  (Make Corrections)  
Roger W. Barnard, Kent Pearce, carolyn Campbell



  Home/Search   Context   Related

 
View or download:
ttu.edu/department/../~pea...survey.pdf
Cached:  PDF   PS.gz  PS  Image  Update  Help

From:  ttu.edu/departme...proffull.shtml (more)
(Enter author homepages)

Rate this article: (best)
  Comment on this article  
(Enter summary)

Abstract: . This is an introductory survey on applications of the Julia variation to problems in geometric function theory. A short exposition is given which develops a method for treating extremal problems over classes F of analytic functions on the unit disk D for which appropriate subsets Fn can be constructed so that (i) F = # n Fn and (ii) for each f # Fn a geometric constraint will hold that #f(D) will have at most n "sides". Applications of this method which have been made to problems in the... (Update)

Active bibliography (related documents):   More   All
3.1:   Numerical Solution of the Omitted Area Problem of Univalent.. - Banjai, Trefethen   (Correct)
0.9:   Radii in Geometric Function Theory - Finch   (Correct)
0.5:   Gram Polynomials And The Kummer Function - Barnard, Dahlquist, Pearce..   (Correct)

Similar documents based on text:   More   All
0.6:   About an Integral Operator Preserving Meromorphic Starlike.. - Draghici   (Correct)
0.3:   Unknown -   (Correct)
0.1:   Applying Web Services Technologies to the - Michael   (Correct)

BibTeX entry:   (Update)

@misc{ barnard-survey,
  author = "Roger W. Barnard and Kent Pearce and carolyn Campbell",
  title = "A Survey Of Applications Of The Julia Variation",
  url = "citeseer.ist.psu.edu/292776.html" }
Citations (may not include all citations):
22   Univalent Functions (context) - Duren - 1980
15   McGraw-Hill (context) - Valentine - 1964
12   Existence and regularity for a minimum problem with free bou.. (context) - Alt, Ca - 1981
5   Univalent Functions (context) - Goodman - 1982
3   the omitted area problem (context) - Barnard, Lewis - 1987
3   Lecons sur le calcul des variations (context) - Hadamard - 1910
3   Cambridge Tracts in Math (context) - Hayman - 1958
2   Rounding corners of gearlike domains and the omitted area pr.. (context) - Barnard, Pearce - 1986  ACM
2   The omitted area problem for univalent functions (context) - Barnard - 1985
2   the regions omitted by univalent functions II (context) - Goodman, Reich - 1955
2   On values omitted by univalent functions (context) - Jenkins - 1953
2   Open problems and conjectures in complex analysis (context) - Barnard - 1990
2   Note on regions omitted by univalent functions (context) - Goodman - 1949
2   Extremal problems for analytic functions with positive real .. (context) - Robertson - 1963
1   a family of starlike functions (context) - Stankiewicz - 1968
1   A coe#cient problem for a class of univalent functions (context) - ridge - 1969
1   a conjecture of Clunie and Sheil-Small (context) - Hall - 1980
1   On values omitted by convex univalent mappings (context) - Waniurski - 1987
1   Lectures on variational methods in the theory of univalent f.. (context) - Hummel - 1972
1   On Hadamard's variation formula for Green's function (context) - Warshawski - 1960
1   A variational method for starlike functions (context) - Hummel - 1958
1   Some extremal problems involving n points on the unit circle (context) - Zheng - 1991  ACM
1   Distortion theorems for bounded convex domains II (context) - Krzyz - 1960
1   On circular symmetrization of starshaped domains (context) - Lewandowski - 1963
1   the minimum area problem (context) - Lewis - 1985
1   Sharp bounds on the Hp means of the derivative of a convex f.. (context) - Barnard, Pearce - 1993
1   Mobius transformations for convex mappings (context) - Barnard, Schober - 1984
1   A variational technique for bounded starlike functions (context) - Barnard - 1975
1   Mobius transformations for convex mappings II (context) - Barnard, Schober - 1986
1   Criteria for local variations for slit mappings (context) - Barnard - 1982
1   Julia variations for extremal problems of convex univalent f.. (context) - Ma
1   Mobius transformations of starlike mappings (context) - Barnard, Schober - 1990
1   Subordination theorems for some classes of starlike function.. (context) - Barnard, Lewis - 1975
1   Geometric problems in complex analysis (context) - MacGregor - 1972
1   A survey of the development of the theory of schlicht functi.. (context) - Bernardi - 1952
1   Une proprietedeconvexitegeeneralisee la theorie de la repres.. (context) - Mocanu - 1969
1   Research problems in complex analysis (context) - Anderson, Barth et al. - 1977
1   On univalent functions in the unit disk whose image contains.. (context) - Netanyahu - 1970
1   On bounded univalent functions whose ranges contain a fixed .. (context) - Barnard - 1977
1   A short proof of a conjecture on the integral means of the d.. (context) - Barnard, Pearce - 1994
1   A distortion theorem for the class of Mobius transformations.. (context) - Ali - 1989
1   The coe#cient regions of schlicht functions (context) - er, Schi et al. - 1949
1   Some recent developments in the theory of conformal mapping (context) - er - 1967

Documents on the same site (http://www.math.ttu.edu/department/proffull.shtml):   More
On a Coefficient Conjecture of Brannan - Barnard, Pearce, Wheeler   (Correct)
An Inequality Involving The Generalized Hypergeometric.. - Roger Barnard Kent   (Correct)
Gram Polynomials And The Kummer Function - Barnard, Dahlquist, Pearce..   (Correct)

Online articles have much greater impact   More about CiteSeer.IST   Add search form to your site   Submit documents   Feedback  

CiteSeer.IST - Copyright Penn State and NEC