The Initial and Terminal Cluster Sets of an Analytic Curve
Canadian mathematical bulletin, Tome 61 (2018) no. 2, pp. 282-288

Voir la notice de l'article provenant de la source Cambridge University Press

For an analytic curve $\gamma :\,\left( a,\,b \right)\,\to \,\mathbb{C}$ , the set of values approached by $\gamma \left( t \right)$ , as $t\,\searrow \,\,a$ and as $t\,\nearrow \,b$ can be any two continua of $\mathbb{C}\,\cup \,\left\{ \infty\right\}$ .
DOI : 10.4153/CMB-2017-012-6
Mots-clés : 30B40, analytic curve, cluster set
Gauthier, Paul M. The Initial and Terminal Cluster Sets of an Analytic Curve. Canadian mathematical bulletin, Tome 61 (2018) no. 2, pp. 282-288. doi: 10.4153/CMB-2017-012-6
@article{10_4153_CMB_2017_012_6,
     author = {Gauthier, Paul M.},
     title = {The {Initial} and {Terminal} {Cluster} {Sets} of an {Analytic} {Curve}},
     journal = {Canadian mathematical bulletin},
     pages = {282--288},
     year = {2018},
     volume = {61},
     number = {2},
     doi = {10.4153/CMB-2017-012-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2017-012-6/}
}
TY  - JOUR
AU  - Gauthier, Paul M.
TI  - The Initial and Terminal Cluster Sets of an Analytic Curve
JO  - Canadian mathematical bulletin
PY  - 2018
SP  - 282
EP  - 288
VL  - 61
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2017-012-6/
DO  - 10.4153/CMB-2017-012-6
ID  - 10_4153_CMB_2017_012_6
ER  - 
%0 Journal Article
%A Gauthier, Paul M.
%T The Initial and Terminal Cluster Sets of an Analytic Curve
%J Canadian mathematical bulletin
%D 2018
%P 282-288
%V 61
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2017-012-6/
%R 10.4153/CMB-2017-012-6
%F 10_4153_CMB_2017_012_6

[1] [1] Collingwood, E. F. and Lohwater, A. J., The theory of düster sets. Cambridge Tracts in Mathematics and Mathematical Physics, 56, Cambridge University Press, Cambridge 1966. Google Scholar

[2] [2] Gauthier, P. M. and Kienzle, J., Approximation ofafunction and its derivatives by entire functions. Canad. Math. Bull. 59(2016), no. 1, 87–94. http://dx.doi.Org/10.4153/CMB-2015-060-5 Google Scholar

[3] [3] Gauthier, P. M. and Nestoridis, V., Conformal extensions of functions defined on arbitrary subsets of Riemann surfaces. Arch. Math. (Basel) 104(2015), no. 1, 61–67. http://dx.doi.Org/10.1007/s000I3-014-0716-3 Google Scholar

[4] [4] Hoischen, L., Approximation und Interpolation durch ganze Funktionen. (German) J. Approximation Theory 15(1975), no. 2, 116–123. Google Scholar | DOI

[5] [5] Nestoridis, V. and Papadopoulos, A., Are length as a global conformal parameter for analytic curves. J.Math. Anal. Appl. 445(2017), no. 2, 1505–1515. http://dx.doi.Org/10.1016/j.jmaa.2016.02.031 Google Scholar

Cité par Sources :