Janowski type close-to-convex functions associated with conic regions
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-017-1535-4
Abstract: The analytic functions, mapping the open unit disk onto petal and oval type regions, introduced by Noor and Malik (Comput. Math. Appl. 62:2209-2217, 2011), are considered to define and study their associated close-to-convex functions. This… read more here.
Keywords: convex functions; janowski type; functions associated; close convex ... See more keywords
Successive coefficients of close-to-convex functions
Sign Up to like & getrecommendations! Published in 2020 at "Forum Mathematicum"
DOI: 10.1515/forum-2020-0092
Abstract: Abstract In this paper we discuss coefficient problems for functions in the class ???? 0 ( k ) {{\mathcal{C}}_{0}(k)} . This family is a subset of ???? {{\mathcal{C}}} , the class of close-to-convex functions,… read more here.
Keywords: close convex; successive coefficients; coefficients close; convex functions ... See more keywords
Fekete Szegö theorem for a close-to-convex error function
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DOI: 10.1515/ms-2017-0231
Abstract: Abstract By motivating the result of Ramachandran et al. [Certain results on q-starlike and q-convex error functions, Math. Slovaca, 68(2) (2018), 361–368], in this present investigation we derive the classical Fekete Szegö theorem for a… read more here.
Keywords: error; convex error; szeg theorem; close convex ... See more keywords
Close-to-convex functions associated with a rational function
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DOI: 10.1515/ms-2024-0026
Abstract: Abstract In this paper, we consider the class 𝓚𝓢(ψ0) of close-to-convex functions associated to a rational function ψ0(z) = (k2 + z2)/(k2 – kz), where k = 2$\begin{array}{}\displaystyle\sqrt{2}\end{array}$ + 1 and the rational function ψ0… read more here.
Keywords: convex functions; function; functions associated; associated rational ... See more keywords
Coefficient bounds for q-close-to-convex functions associated with vertical strip domain
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DOI: 10.2298/fil2417003b
Abstract: Let A denote the class of functions ? which are analytic in the open unit disk U and given by ?(z)=z+??,n=2 anzn(z ? U). In a very recent paper, Alqahtani et al. [AIMS Mathematics 8… read more here.
Keywords: convex functions; close convex; coefficient bounds; bounds close ... See more keywords
On Generalizations of the Close-to-Convex Functions Associated with q-Srivastava–Attiya Operator
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DOI: 10.3390/math11092022
Abstract: The study of the q-analogue of the classical results of geometric function theory is currently of great interest to scholars. In this article, we define generalized classes of close-to-convex functions and quasi-convex functions with the… read more here.
Keywords: operator; generalizations close; functions associated; associated srivastava ... See more keywords
Properties for Close-to-Convex and Quasi-Convex Functions Using q-Linear Operator
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DOI: 10.3390/math13060900
Abstract: In this work, we describe the q-analogue of a multiplier–Ruscheweyh operator of a specific family of linear operators Iq,ρs(ν,τ), and we obtain findings related to geometric function theory (GFT) by utilizing approaches established through subordination… read more here.
Keywords: convex functions; operator; properties close; convex quasi ... See more keywords
Coefficient Estimates for a Subclass of Meromorphic Multivalent q-Close-to-Convex Functions
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DOI: 10.3390/sym13101840
Abstract: By making use of the concept of basic (or q-) calculus, many subclasses of analytic and symmetric q-starlike functions have been defined and studied from different viewpoints and perspectives. In this article, we introduce a… read more here.
Keywords: close convex; meromorphic multivalent; multivalent close; convex functions ... See more keywords
Estimates of Some Coefficient Functionals for Close-to-Convex Functions
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DOI: 10.3390/sym16121671
Abstract: For a given starlike function Fα=z1−αz2, α∈[−1,1], the class C0(Fα) is defined as follows: an analytic normalized function f belongs to C0(Fα) if it satisfies Rezf′(z)Fα(z)>0 in the open unit disk ∆. The condition defining this… read more here.
Keywords: coefficient functionals; convex functions; class; functionals close ... See more keywords