# 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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