2007
DOI: 10.12988/imf.2007.07259
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Harmonic univalent functions defined by Ruscheweyh derivatives

Abstract: By applying Ruscheweyh derivative on the class AS H (λ, α, k, γ) of harmonic univalent functions in the unit disk U , we obtain several interesting properties such as sharp coefficient relations, distortion bounds, extreme points, Hadamard product, and other results. Mathematics Subject Classification: 30C45

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Cited by 2 publications
(2 citation statements)
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“…In this part, we get the extreme points for the class 𝐵 𝐻 (𝛼, 𝛽, 𝜆). Theorem 6.1: Suppose 𝑓 be given by (5). Then…”
Section: The Extreme Pointmentioning
confidence: 99%
“…In this part, we get the extreme points for the class 𝐵 𝐻 (𝛼, 𝛽, 𝜆). Theorem 6.1: Suppose 𝑓 be given by (5). Then…”
Section: The Extreme Pointmentioning
confidence: 99%
“…Sȃlȃgean differential operator inspired many researchers to generalize it, as it can be observed, for example, in [3,4]. Quantum calculus has also been added to the studies for obtaining extensions of different types of operators.…”
Section: Introductionmentioning
confidence: 99%