Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843-7265 (print)
 Volume 19 (2024), 41 -- 55

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This work is licensed under a Creative Commons Attribution 4.0 International License.

ESTIMATE ON LOGARITHMIC COEFFICIENTS OF KAMALI-TYPE STARLIKE FUNCTIONS ASSOCIATED WITH FOUR-LEAF SHAPED DOMAIN

T. Panigrahi, E. Pattnayak and R. M. El-Ashwah

Abstract. In the present paper, the authors introduce a new subclass namely; RL(φ4L, ν) of Kamali-type starlike functions defined in the open unit disk D connected with four-leaf shaped domain. We investigate the bounds of some initial coefficients, Fekete-Szegö inequality and other results of logarithmic coefficients for the function belonging to above class. Relevant connections of the results derived in this paper with those of earlier works are indicated.

2020 Mathematics Subject Classification: Primary: 30C45; Secondary: 30C50, 30C80
Keywords: Analytic function; Starlike function; Subordination; Fekete-Szegö functional; Four-leaf shaped domain

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T. Panigrahi
Institute of Mathematics and Applications, Andharua, Bhubaneswar-751029, Odisha, India.
e-mail: trailokyap6@gmail.com

E. Pattnayak
Institute of Mathematics and Applications, Andharua, Bhubaneswar-751029, Odisha, India.
e-mail: pattnayakeureka99@gmail.com

R. M. El-Ashwah (corresponding author)
Department of Mathematics, Faculty of Science, Damietta University,
New Damietta 34517, Egypt.
e-mail: r_elashwah@yahoo.com


http://www.utgjiu.ro/math/sma