Relations of Harmonic Starlike Function Subclasses with Mittag–Leffler Function
AxiomsIn this study, the connection between certain subfamilies of harmonic univalent functions is established by utilizing a convolution operator involving the Mittag–Leffler function.
Naci Taşar +3 more
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On the Study of Starlike Functions Associated with the Generalized Sine Hyperbolic Function
Mathematics, 2023 Geometric function theory, a subfield of complex analysis that examines the geometrical characteristics of analytic functions, has seen a sharp increase in research in recent years.
Baseer Gul +5 more
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Faber Polynomial Coefficient Estimates for Meromorphic Bi-Starlike Functions [PDF]
International Journal of Mathematics and Mathematical Sciences, 2013 We consider meromorphic starlike univalent functions that are also bi-starlike and find Faber polynomial coefficient estimates for these types of functions. A function is said to be bi-starlike if both the function and its inverse are starlike univalent.
Samaneh G. Hamidi +2 more
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Radius Problems for Starlike Functions Associated with the Tan Hyperbolic Function
Journal of Function Spaces, 2021 The aim of this particular article is at studying a holomorphic function f defined on the open-unit disc D=z∈ℂ ...
Khalil Ullah +4 more
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The Generalized Janowski Starlike and Close-to-Starlike Log-Harmonic Mappings
International Journal of Mathematics and Mathematical Sciences, 2011 Motivated by the success of the Janowski starlike function, we consider here closely related functions for log-harmonic mappings of the form 𝑓(𝑧)=𝑧ℎ(𝑧)𝑔(𝑧) defined on the open unit disc 𝑈.
Maisarah Haji Mohd, Maslina Darus
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Starlike and Convex Properties for Hypergeometric Functions [PDF]
International Journal of Mathematics and Mathematical Sciences, 2008 The purpose of the present paper is to give some characterizations for a (Gaussian) hypergeometric function to be in various subclasses of starlike and convex functions. We also consider an integral operator related to the hypergeometric function.
Oh Sang Kwon, Nak Eun Cho
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Double Integral Operators Concerning Starlike of Order β [PDF]
International Journal of Differential Equations, 2009 Double integral operators which were considered by S. S. Miller and P. T. Mocanu (Integral Transform. Spec. Funct. 19(2008), 591–597) are discussed. In order to show the analytic function f(z) is starlike of order β in the open unit disk 𝕌, the ...
Kazuo Kuroki, Shigeyoshi Owa
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Certain Coefficient Problems for q-Starlike Functions Associated with q-Analogue of Sine Function
Symmetry, 2022 This study introduces a subclass Sqs* of starlike functions associated with the q-analogue of the sine function defined in symmetric unit disk. This article comprises the investigation of sharp coefficient bounds, and the upper bound of the third-order ...
Yusra Taj, Saira Zainab, Qin Xin
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Sharp coefficient bounds for a class of symmetric starlike functions involving the balloon shape domain [PDF]
HeliyonRecent research has extensively explored classes of starlike and convex functions across various domains. This study introduces a novel class of symmetric starlike functions with respect to symmetric points and associated with the balloon shape domain ...
Bilal Khan +3 more
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Some new applications of the fractional integral and four-parameter Mittag-Leffler function. [PDF]
PLoS ONEThe article reveals new applications of the four-parameter Mittag-Leffler function (MLF) in geometric function theory (GFT), using fractional calculus notions.
Ahmad A Abubaker +3 more
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