2019
DOI: 10.1007/s13370-019-00662-7
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Fekete–Szegö functional problems for some subclasses of bi-univalent functions defined by Frasin differential operator

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Cited by 29 publications
(12 citation statements)
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“…Thus, clearly, the image of the domain does not contain the unit disk U. For a brief history and some intriguing examples of functions and characterization of the class Σ, see [7][8][9][10][11][12][13][14][15].…”
Section: Definitions and Preliminariesmentioning
confidence: 99%
“…Thus, clearly, the image of the domain does not contain the unit disk U. For a brief history and some intriguing examples of functions and characterization of the class Σ, see [7][8][9][10][11][12][13][14][15].…”
Section: Definitions and Preliminariesmentioning
confidence: 99%
“…A function U ∈ A is said to be bi-univalent in O if both U and U −1 are univalent in O, let we name by the notation E the set of bi-univalent functions in O satisfying (1.1). In fact, Srivastava et al [32] refreshed the study of holomorphic and biunivalent functions in recent years, it was followed by other works as those by Frasin and Aouf [15], Altinkaya and Yalçin Journal of Advances in Mathematics Vol 20 (2021) ISSN: 2347-1921 https://rajpub.com/index.php/jam [5], Güney et al [16] and others (see, for example [1,3,8,10,11,18,21,22,23,26,27,28,29,30,31,33,34,35,38,39,41]).…”
Section: Introductionmentioning
confidence: 99%
“…Note that for m = 1, we obtain the differential operator I ζ 1,λ defined by Al-Oboudi [1] and for m = λ = 1, we get Sȃlȃgean differential operator I ζ [9] (see also Aouf [2,3]). Our aim in this work is to provide an application of the differential operator I ζ m,λ f (z), (see for example, [4,5,6,8,10]). For our purpose, using the operator I ζ m,λ f (z), we define the classes Q and G respectively.…”
Section: Introductionmentioning
confidence: 99%