On Geometric Properties of Certain Class of Analytic Functions Connected with a Multiplier Transformation
DOI:
https://doi.org/10.62054/ijdm/0202.10Palabras clave:
Analytic function, starlike function, convex function, univalent function and multiplier transformation.Resumen
A major interest in geometric function theory is to provide insight into the behaviour of analytic functions. In this study therefore, the authors defined a subclass of univalent functions by means of a generalised multiplier transformation and obtained some geometric properties related to the bounds of the coefficient for a certain class of analytic function. The results obtained in the study extend some existing results in literature.
Referencias
References
Alenazi A., Mehrez K. (2023). Certain properties of a class of analytic functions involving the Mathieu type power series, AIMS Mathematics, 8(12), 30963-30980. doi: 10.3934/math.20231584.
Alsarari, F., Faisal, M. I. and Alzulaibani, A. A. (2023). Geometric properties of certain classes of analytic functions with respect to (x,y)-symmetric points, Mathematics, 11, 4180. https://doi.org/10.3390/math11194180.
Amini E., Al-Omari S. and Rahmatan H. (2022). On geometric properties of certain subclasses of univalent functions defined by Noor integral operator, Analysis, (4), 1-10, https://doi.org/10.1515/anly-2022-1043.
Amourah A. and Darus M. (2016). Some Properties of a New Class of Univalent Functions Involving a New Generalized Differential Operator with Negative Coefficients, Indian Journal of Science and Technology, 9(36), 1-7.
Bak J. and Newman D. J. (2010). Complex Analysis, 3rd Edition, New York: Springer Science+Business Media.
Brown J. W. and Churchill R. V. (2009). Complex variables and applications, 8th Ed., New York: McGraw-Hill Companies.
Darus M. and Ibrahim R.W. (2009). On subclasses for generalized operators of complex order, Far East Journal of Mathematical Sciences (FJMS), 33(3), 299-308.
Darus, M., Ibrahim, W. R. (2010). On univalence criteria for analytic functions defined by generalized differential operator, Acta Universitatis Apulensis, 23,195-200.
Davids E. O., Fadipe-Joseph O. A, and Oluwayemi M. O. (2025). Results on multivalent Bessel functions associated with a new integral operator, Partial Differential Equations and Applied Mathematics, doi: 10.1016/j.padiff.2025.101228.
Gbolagade A. M. and Olatunji S. O. (2014). Coefficient bounds for certain classes of analytic and univalent functions as related to sigmoid function, International Electronic Journal of Pure and Applied Mathematics, 7(1), 41-51.
Hamzat J. O. and Olaleru J. (2022). Properties of certain new subclasses of some analytic and univalent functions in the open unit disk, Acta Universitatis Apulensis, 68(2021), 1-11, doi: 10.17114/j.aua.2021.68.01.
Krantz S. G. (2006). Geometric Function Theory Explorations in Complex Analysis, Birkhauser Boston.
Lasode A. O., Opoola T. O. (2022). Some Properties of a Family of Univalent Functions Defined by a Generalized Opoola Differential Operator, General Mathematics, 30(1), 3-13.
Libera R. J. (1965). Some classes of regular univalent functions. Proc. Amer. Math. Soc. 16, 755–758.
Oluwayemi, M. O., & Fadipe-Joseph, O. A. (2022). A new class of function with finitely many fixed points. Abstract and Applied Analysis, 2022, Article 9936129. https://doi.org/10.1155/2022/9936129.
Oyekan E. A. and Awolere I. (2020). A new subclass of univalent functions connected with convolution defined via employing a linear combination of two generalized differential operators involving sigmoid function, Maltepe Journal of Mathematics, 2(1), 82-96.
Ruscheweyh S. (1975). New criteria for univalent functions, Proc. Amer. Math. Soc., 49, 109-115.
Salalgean G. S. (1983). Subclasses of univalent functions, Lecture Notes in Mathematics, 10-13.
Shaba T. G, Oluwayemi M. O., Aladeitan B., Femi O. A., Fadugba S. E. and Oluwadamilare A. J. (2024). On certain q-Ruscheweyh operator involving a new subclass of univalent functions, 2024 International Conference on Science, Engineering and Business for Driving Sustainable Development Goals (SEB4SDG), Omu-Aran, Nigeria, 2024, 1-6, doi: 10.1109/SEB4SDG60871.2024.10629776.
Silverman H. (1975). Univalent functions with negative coefficients, Proceedings of the American Mathematical Society, 51(1), 109 -116.
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