Properties of Certain Multivalent Analytic Functions Associated with the Lemniscate of Bernoulli

Liu, Likai; Liu, Jinlin

doi:10.3390/axioms10030160

Cited by 7 publications

(4 citation statements)

References 13 publications

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“…The major purpose of this study is to begin an investigation into the properties of Mathieu-type series related to the Janowski functions. One may also attempt to apply this Mathieu-type series in order to generalize the works presented in [13][14][15][16][17][18].…”

Section: Definitionmentioning

confidence: 99%

A Subclass of Janowski Starlike Functions Involving Mathieu-Type Series

2021

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To date, many interesting subclasses of analytic functions involving symmetrical points and other well celebrated domains have been investigated and studied. The aim of our present investigation is to make use of certain Janowski functions and a Mathieu-type series to define a new subclass of analytic (or invariant) functions. Our defined function class is symmetric under rotation. Some useful results like Fekete-Szegö functional, a number of sufficient conditions, radius problems, and results related to partial sums are derived.

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Section: Definitionmentioning

confidence: 99%

A Subclass of Janowski Starlike Functions Involving Mathieu-Type Series

2021

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“…Recently, Liu et al [33] introduced and studied the class S * L (λ) for which ϕ(ζ) = (1 + ζ) λ , 0 < λ < 1 whose geometric characterization was studied by Masih et al [34]. For more information regarding other choices of ϕ, one may see [35][36][37][38][39].…”

Section: Introductionmentioning

confidence: 99%

Radius Results for Certain Strongly Starlike Functions

Saliu

Jabeen²,

Xin

et al. 2023

Symmetry

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This article comprises the study of strongly starlike functions which are defined by using the concept of subordination. The function φ defined by φ(ζ)=(1+ζ)λ, 0<λ<1 maps the open unit disk in the complex plane to a domain symmetric with respect to the real axis in the right-half plane. Using this mapping, we obtain some radius results for a family of starlike functions. It is worth noting that all the presented results are sharp.

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“…The applications of q-analysis were first considered by Jackson [1,2]. In recent years, some scholars have written a number of papers [3][4][5][6][7][8][9][10][11][12][13][14][15] associated with q-starlike functions and the Janowski functions [16]. In particular, Srivastava [17,18] pointed out some applications and mathematical explanations of q-derivatives in GFT.…”

Section: Introductionmentioning

confidence: 99%