Research Article

Geometric properties of normalized Rabotnov function

Volume: 51 Number: 5 October 1, 2022
EN

Geometric properties of normalized Rabotnov function

Abstract

In the present paper, our aim is to study geometric properties of normalized Rabotnov functions. For this purpose, we determined sufficient conditions for univalency, close-to-convexity, convexity and starlikeness of the normalized Rabotnov functions in the open unit disk.

Keywords

References

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  3. [3] A. Baricz, Geometric properties of generalized Bessel functions, Publ. Math. Debrecen. 73(1-2), 155178, 2008.
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  5. [5] L. Fejér, Untersuchungen uber Potenzreihen mit mehrfach monotoner Koeffizientenfolge, Acta Litt. Sci. Szeged 8, 89-115, 1936.
  6. [6] A.W. Goodman, Univalent Functions, New York, NY, USA: Mariner Publishing Company, 1983.
  7. [7] T.H. MacGregor, The radius of univalence of certain analytic functions II, Proc. Amer. Math. Soc. 14, 521524, 1963.
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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

October 1, 2022

Submission Date

August 8, 2021

Acceptance Date

February 19, 2022

Published in Issue

Year 2022 Volume: 51 Number: 5

APA
Sümer Eker, S., & Ece, S. (2022). Geometric properties of normalized Rabotnov function. Hacettepe Journal of Mathematics and Statistics, 51(5), 1248-1259. https://doi.org/10.15672/hujms.980307
AMA
1.Sümer Eker S, Ece S. Geometric properties of normalized Rabotnov function. Hacettepe Journal of Mathematics and Statistics. 2022;51(5):1248-1259. doi:10.15672/hujms.980307
Chicago
Sümer Eker, Sevtap, and Sadettin Ece. 2022. “Geometric Properties of Normalized Rabotnov Function”. Hacettepe Journal of Mathematics and Statistics 51 (5): 1248-59. https://doi.org/10.15672/hujms.980307.
EndNote
Sümer Eker S, Ece S (October 1, 2022) Geometric properties of normalized Rabotnov function. Hacettepe Journal of Mathematics and Statistics 51 5 1248–1259.
IEEE
[1]S. Sümer Eker and S. Ece, “Geometric properties of normalized Rabotnov function”, Hacettepe Journal of Mathematics and Statistics, vol. 51, no. 5, pp. 1248–1259, Oct. 2022, doi: 10.15672/hujms.980307.
ISNAD
Sümer Eker, Sevtap - Ece, Sadettin. “Geometric Properties of Normalized Rabotnov Function”. Hacettepe Journal of Mathematics and Statistics 51/5 (October 1, 2022): 1248-1259. https://doi.org/10.15672/hujms.980307.
JAMA
1.Sümer Eker S, Ece S. Geometric properties of normalized Rabotnov function. Hacettepe Journal of Mathematics and Statistics. 2022;51:1248–1259.
MLA
Sümer Eker, Sevtap, and Sadettin Ece. “Geometric Properties of Normalized Rabotnov Function”. Hacettepe Journal of Mathematics and Statistics, vol. 51, no. 5, Oct. 2022, pp. 1248-59, doi:10.15672/hujms.980307.
Vancouver
1.Sevtap Sümer Eker, Sadettin Ece. Geometric properties of normalized Rabotnov function. Hacettepe Journal of Mathematics and Statistics. 2022 Oct. 1;51(5):1248-59. doi:10.15672/hujms.980307

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Annals of the University of Craiova Mathematics and Computer Science Series

https://doi.org/10.52846/ami.v50i2.1720