On some properties of the class 𝒫 ( B , b , α )

Jaroslav Fuka; Zbigniew Jerzy Jakubowski

Mathematica Bohemica (1997)

  • Volume: 122, Issue: 2, page 197-220
  • ISSN: 0862-7959

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Fuka, Jaroslav, and Jakubowski, Zbigniew Jerzy. "On some properties of the class $\mathcal {P}(B,b,\alpha )$." Mathematica Bohemica 122.2 (1997): 197-220. <http://eudml.org/doc/248130>.

@article{Fuka1997,
abstract = {},
author = {Fuka, Jaroslav, Jakubowski, Zbigniew Jerzy},
journal = {Mathematica Bohemica},
keywords = {Carathéodory functions; closed convex hull; estimates of functionals; Carathéodory functions; closed convex hull; estimates of functionals},
language = {eng},
number = {2},
pages = {197-220},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On some properties of the class $\mathcal \{P\}(B,b,\alpha )$},
url = {http://eudml.org/doc/248130},
volume = {122},
year = {1997},
}

TY - JOUR
AU - Fuka, Jaroslav
AU - Jakubowski, Zbigniew Jerzy
TI - On some properties of the class $\mathcal {P}(B,b,\alpha )$
JO - Mathematica Bohemica
PY - 1997
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 122
IS - 2
SP - 197
EP - 220
AB -
LA - eng
KW - Carathéodory functions; closed convex hull; estimates of functionals; Carathéodory functions; closed convex hull; estimates of functionals
UR - http://eudml.org/doc/248130
ER -

References

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  1. J. Fuka Z. J. Jakubowski, 10.4064/ap-55-1-109-115, Ann. Polon. Math. 55 (1991), 109-115. (1991) MR1141428DOI10.4064/ap-55-1-109-115
  2. J. Fuka Z. J. Jakubowski, A certain class of Carathéodory functions defined by conditions on the unit circle, Current Topics in Analytic Function Theory, editors: H.M. Sгivastava, Shigeyoshi Owa, World Sci. Publ. Company, Singapore (1992), 94-105. (1992) MR1232431
  3. J. Fuka Z. J. Jakubowski, On extreme points of some subclasses of Carathéodory functions, Czechoslovak Academy Sci. Math. Inst., Preprint 72 (1992), 1-9. (1992) MR1232431
  4. J. Fuka Z. J. Jakubowski, On coefficient estimates in a class of Carathéodory functions with positive real part, Proc. of the 15-th Instr. Conf. on Complex Analysis and Geometry, Bronislawów 11-15.01.1993, Lódź (1994), 17-24. (1993) 
  5. J. Fuka Z. J. Jakubowski, The problem of convexity and compactness of some class of Carathéodory functions, Proc. of the 15-th Instr. Conf. on Complex Analysis and Geometry, Bronislawów, 11-15.01.1993, Lódź (1994), 25-30. (1993) 
  6. J. Fuka Z. J. Jakubowski, On some applications of harmonic measure in the geometric theory of analytic functions, Math. Bohem. 119 (1994), 57-74. (1994) MR1303552
  7. J. Fuka Z. J. Jakubowski, On some closure of the class P(B,b, α ), Proc. of the 16-th Instr. Conf. on Complex Analysis and Geometry, Bronislawów, 10-14.01.1994, Lódź (1995), 9-11. (1994) 
  8. J. Fuka Z. J. Jakubowski, On estimates of functionals in some classes of functions with positive real part, Math. Slovaca 46 (1996), No. 2-3, 213-230. (1996) MR1427006
  9. P. T. Mocanu, Une propriété de convexité generalisée dans la théorie de la représentation conforme, Mathematica (Cluj) 11 (З4) (1969), 127-133. (1969) Zbl0195.36401MR0273000
  10. M. S. Robertson, 10.2307/2370963, Amer. J. Math. 58 (1936), 465-472. (1936) Zbl0014.12002MR1507169DOI10.2307/2370963

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