Research Article

Subclasses of starlike functions related to Blaschke products

Volume: 49 Number: 1 February 6, 2020
EN

Subclasses of starlike functions related to Blaschke products

Abstract

In this paper we examine subclasses of the class of starlike functions defined by the set of zeros of Schwarz functions. Distortion and the growth theorems are shown. Bounds of the classical coefficient functionals are also computed.

Keywords

References

  1. [1] J.W. Alexander, Functions which map the interior of the unit circle upon simple regions, Ann. Math. 17, 12–22, 1915.
  2. [2] P.L. Duren, Theory of $H^p$ Spaces, Academic Press, New York, London, 1970.
  3. [3] P.L. Duren, Univalent Functions, Springer Verlag, New York, 1983.
  4. [4] A.W. Goodman, Univalent Functions, Mariner, Tampa, Florida, 1983.
  5. [5] R.E. Greene and S.G. Kranz, Function Theory of One Complex Variable, AMS, Prov- idence, Rhode Island, 2006.
  6. [6] F.R. Keogh and E.P. Merkes, A coefficient inequality for certain classes of analytic functions, Proc. Amer. Math. Soc. 20, 8–12, 1969.
  7. [7] J. Krzyż, Coefficient problem for non-vanishing functions, Ann. Polon. Math. 20, 314–316, 1968.
  8. [8] A. Lecko, and B. Śmiarowska, Classes of analytic functions related to Blaschke prod- ucts, Filomat, 32 (18), 6289-6309, 2018.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

February 6, 2020

Submission Date

May 29, 2018

Acceptance Date

August 31, 2018

Published in Issue

Year 2020 Volume: 49 Number: 1

APA
Lecko, A., & Smiarowska, B. (2020). Subclasses of starlike functions related to Blaschke products. Hacettepe Journal of Mathematics and Statistics, 49(1), 30-44. https://doi.org/10.15672/HJMS.2018.649
AMA
1.Lecko A, Smiarowska B. Subclasses of starlike functions related to Blaschke products. Hacettepe Journal of Mathematics and Statistics. 2020;49(1):30-44. doi:10.15672/HJMS.2018.649
Chicago
Lecko, Adam, and Barbara Smiarowska. 2020. “Subclasses of Starlike Functions Related to Blaschke Products”. Hacettepe Journal of Mathematics and Statistics 49 (1): 30-44. https://doi.org/10.15672/HJMS.2018.649.
EndNote
Lecko A, Smiarowska B (February 1, 2020) Subclasses of starlike functions related to Blaschke products. Hacettepe Journal of Mathematics and Statistics 49 1 30–44.
IEEE
[1]A. Lecko and B. Smiarowska, “Subclasses of starlike functions related to Blaschke products”, Hacettepe Journal of Mathematics and Statistics, vol. 49, no. 1, pp. 30–44, Feb. 2020, doi: 10.15672/HJMS.2018.649.
ISNAD
Lecko, Adam - Smiarowska, Barbara. “Subclasses of Starlike Functions Related to Blaschke Products”. Hacettepe Journal of Mathematics and Statistics 49/1 (February 1, 2020): 30-44. https://doi.org/10.15672/HJMS.2018.649.
JAMA
1.Lecko A, Smiarowska B. Subclasses of starlike functions related to Blaschke products. Hacettepe Journal of Mathematics and Statistics. 2020;49:30–44.
MLA
Lecko, Adam, and Barbara Smiarowska. “Subclasses of Starlike Functions Related to Blaschke Products”. Hacettepe Journal of Mathematics and Statistics, vol. 49, no. 1, Feb. 2020, pp. 30-44, doi:10.15672/HJMS.2018.649.
Vancouver
1.Adam Lecko, Barbara Smiarowska. Subclasses of starlike functions related to Blaschke products. Hacettepe Journal of Mathematics and Statistics. 2020 Feb. 1;49(1):30-44. doi:10.15672/HJMS.2018.649