2018
DOI: 10.3906/mat-1510-53
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On the Chebyshev coefficients for a general subclass of univalent functions

Abstract: In this work, considering a general subclass of univalent functions and using the Chebyshev polynomials, we obtain coefficient expansions for functions in this class.

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Cited by 16 publications
(12 citation statements)
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“…Taking α = 0, λ = 0 and β = 0 in Theorem 3.1, we obtain result of Altınkaya and Yalçın [2] the following Corollary 3.6.…”
Section: Corollary 33mentioning
confidence: 62%
See 1 more Smart Citation
“…Taking α = 0, λ = 0 and β = 0 in Theorem 3.1, we obtain result of Altınkaya and Yalçın [2] the following Corollary 3.6.…”
Section: Corollary 33mentioning
confidence: 62%
“…Remark 2.5 The estimate of |a 3 | which obtained in Corollary 2.4 is better than the corresponding estimate in Altınkaya and Yalçın [2].…”
Section: Corollary 24mentioning
confidence: 82%
“…Many researchers deal with orthogonal polynomials of Chebyshev, see [2,3] and [4]. The Chebyshev polynomials of first kind and the second kind are defined by…”
Section: Introductionmentioning
confidence: 99%
“…A function f ∈ A is said to be bi-univalent in D if both f and f −1 are univalent in D. Let Σ stands for the class of bi-univalent functions in D given by (1.1). In fact, Srivastava et al [16] has apparently revived the study of holomorphic and bi-univalent functions in recent years, it was followed by such works as those by Bulut [4], Altınkaya and Yalçın [2,3], Adegani et al [1] and others (see, for example [13,14,15,17,18,19]). We notice that the class Σ is not empty.…”
Section: Introductionmentioning
confidence: 99%