On products of starlike functions. I
Annales Polonici Mathematici (1991)
- Volume: 55, Issue: 1, page 75-79
- ISSN: 0066-2216
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topGeorgi Dimkov. "On products of starlike functions. I." Annales Polonici Mathematici 55.1 (1991): 75-79. <http://eudml.org/doc/262235>.
@article{GeorgiDimkov1991,
abstract = {We deal with functions given by the formula $F(z) = zG^\{\prime \}(z) = z∏_\{j=1\}^n (f_j(z)/z)^\{a_j\}$ where $f_j(z)$ are starlike of order $α_j$ and $a_j$ are complex constants. In particular, radii of starlikeness and convexity as well as orders of starlikeness and convexity are found.},
author = {Georgi Dimkov},
journal = {Annales Polonici Mathematici},
keywords = {convex functions; radius of starlikeness},
language = {eng},
number = {1},
pages = {75-79},
title = {On products of starlike functions. I},
url = {http://eudml.org/doc/262235},
volume = {55},
year = {1991},
}
TY - JOUR
AU - Georgi Dimkov
TI - On products of starlike functions. I
JO - Annales Polonici Mathematici
PY - 1991
VL - 55
IS - 1
SP - 75
EP - 79
AB - We deal with functions given by the formula $F(z) = zG^{\prime }(z) = z∏_{j=1}^n (f_j(z)/z)^{a_j}$ where $f_j(z)$ are starlike of order $α_j$ and $a_j$ are complex constants. In particular, radii of starlikeness and convexity as well as orders of starlikeness and convexity are found.
LA - eng
KW - convex functions; radius of starlikeness
UR - http://eudml.org/doc/262235
ER -
References
top- [1] H. Silverman, Products of starlike and convex functions, Ann. Univ. Mariae Curie-Skłodowska 29(1975), 109-116. Zbl0388.30010
- [2] A. W. Goodman, Univalent Functions, Mariner, 1983.
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