On Sakaguchi type functions

Owa, Shigeyoshi; Sekine, Tadayuki; Yamakawa, Rikuo

doi:10.1016/j.amc.2006.08.133

Cited by 29 publications

(26 citation statements)

References 3 publications

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“…(1) For σ = 0 and t = 0 the above classes reduce to the classes k−ST [A, B] and k−UC [A, B] studied recently by Noor and Malik [15]; (2) For k = 0, A = 1, B = −1, we obtain the classes S (σ, t) and T (σ, t) discussed in [16];…”

Section: Introductionmentioning

confidence: 83%

Coefficient inequalities for Janowski-Sakaguchi type functions associated with conic regions

Arif¹,

Wang²,

Khan³

et al. 2017

HJMS

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The purpose of the present paper is to introduce and study some new subclasses of Sakaguchi-type functions defined by using the concept of Janowski functions in conic regions. Various interesting properties such as sufficiency criteria, coefficient estimates and distortion result are investigated for these function classes. ∞ n=2 anz n , which are analytic in the open unit disk D = {z ∈ C : |z| < 1}. As usual, S represents the class of all functions in A which are univalent in D.If f and g are analytic functions in D, then we say that f is subordinate to g, denoted by f ≺ g or f (z) ≺ g (z) , if there exists an analytic function w in D with |w(z)

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Section: Introductionmentioning

confidence: 83%

Coefficient inequalities for Janowski-Sakaguchi type functions associated with conic regions

Arif¹,

Wang²,

Khan³

et al. 2017

HJMS

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show abstract

“…Similarly, in [5], Wang et al introduced the class of convex functions with respect to symmetric points in Δ, consisting of functions ∈ that satisfy the condition R(( ( )) /( ( ) + (− ))) > 0, ∈ Δ. For different parametric values, we get the classes studied in the literature by Frasin [6], Goyal et al [7], and Owa et al [8].…”

Section: Introduction and Definitionsmentioning

confidence: 95%

Application of Quasi-Subordination for Generalized Sakaguchi Type Functions

Altınkaya

2017

Journal of Complex Analysis

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“…It may be noted that for s = 1, λ = 0, the class S(0, β, 1, t) = S(β, t) has been studied by Owa et al [23,24], Goyal and Goswami [10] and Cho et al [4]; while for s = 1, λ = 0, β = 0, t = −1, the class S(0, 0, 1, −1) = S(0, −1) has introduced and studied by Sakaguchi [21]. Further, for λ = t = 0, s = 1, the above class reduces to the well-known subclass of A consisting of univalent starlike functions of order β (see [6]).…”

Section: Letmentioning

confidence: 99%