A Novel Category of Analytic Univalent Functions that is characterized by an Integral Operator
DOI:
https://doi.org/10.29304/jqcsm.2025.17.32450Keywords:
Analytic function, Coefficient inequalityAbstract
This paper presents a novel class of analytic univalent functions, which are defined by an integral operator in the open unit disk . Various geometric properties of these functions, including coefficient inequality, growth and distortion bounds, and convolution properties, are investigated.
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W. G. Atshan an N. A. J. Al-Ziadi, on a new class of meromorphic multivalent functions defined by fractional differ-integral operator, Journal of Kufa Mathematics and Computer, 5 (1) (2018), 12-20.
D. Bansal and J. Sokol, Geometric properties of Mathieu-type power series inside unit disk, J. Math. Ineq. 13(4) (2019), 911-918.
K. A. Jassim, some geometric properties of analytic functions associated with hypergeometric functions, Iraqi Journal of Science, 57(1C) (2016), 705-712.
D. Liu, S. Araci an B. Khan, A subclass of janowski starlike functions involving Mathieu-type series, symmetry, 14(1) (2022), 2.
Patel, J. Inclusion relations and convolution properties of certain subclasses of analytic functions defined by generalized Sălăgean operator. Bull. Belg. Math. Soc. 2008, 15, 33–47.
A. m. Ramadhan an N. A. J. Al-Ziadi, New Class of Multivalent Functions with Negative Coefficients, Earthline Journal of Mathematical Sciences, 10(2) (2022), 271-288.
Swamy, S.R. Inclusion properties of certain subclasses of analytic functions. Inter. Math. Forum 2012, 7, 1751–1766.
Z. Tomovski, New integral and series representations of the generalized Mathieu series, Appl. Anal. Discrete Math. 2(2) (2008), 205-212.
A. K. Wanas and H. M. Ahsoni, Some geometric properties for a class of analytic functions defined by beta negative binomial distribution series, Earthline Journal of Mathematical Sciences, 9(1) (2022), 105-116.
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Copyright (c) 2025 Mustafa A. Sabri
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