Coefficient Bounds for Some Families of Bi-Univalent Functions with Missing Coefficients
Axioms, 2023 A branch of complex analysis with a rich history is geometric function theory, which first appeared in the early 20th century. The function theory deals with a variety of analytical tools to study the geometric features of complex-valued functions.
Ebrahim Analouei Adegani +3 more
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COEFFICIENT CONDITIONS FOR HARMONIC CLOSE-TO-CONVEX FUNCTIONS [PDF]
, 2012 New sufficient conditions, concerned with the coefficients of harmonic functions $f(z)=h(z)+\bar{g(z)}$ in the open unit disk $\mathbb{U}$ normalized by $f(0)=h(0)=h'(0)-1=0$, for $f(z)$ to be harmonic close-to-convex functions are discussed. Furthermore,
HAYAMI, TOSHIO
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Initial Coefficients of Biunivalent Functions
Abstract and Applied Analysis, 2014 An analytic function f defined on the open unit disk is biunivalent if the function f and its inverse f-1 are univalent in 𝔻. Estimates for the initial coefficients of biunivalent functions f are investigated when f and f-1, respectively, belong to some ...
See Keong Lee +2 more
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Estimating coefficients for certain subclasses of meromorphic and bi-univalent functions
Journal of Inequalities and Applications, 2018 In the present paper, we introduce two interesting subclasses of meromorphic and bi-univalent functions defined on Δ={z:z∈C ...
F. Müge Sakar
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Certain Classes of Univalent Functions With Negative Coefficients Defined By General Linear Operator
Tikrit Journal of Pure Science, 2019 In this study, a subclass of an univalent function with negative coefficients which is defined by anew general Linear operator have been introduced.
Mazin Sh.Mahmoud +2 more
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Meromorphic univalent function with negative coefficient
International Journal of Mathematics and Mathematical Sciences, 1994 Let Mn be the classes of regular functions f(z)=z−1+a0+a1z+… defined in the annulus ...
A. Dernek
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Application of Gegenbauer Polynomials with Two Variables to Bi-univalency of Generalized Discrete Probability Distribution Via Zero-Truncated Poisson Distribution Series [PDF]
Sahand Communications in Mathematical AnalysisThe present study is unique in exploring bi-univalent functions, which has recently garnered attention from many researchers in Geometric Function Theory (GFT).
Tunji Ibrahim Awolere +2 more
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Nonvanishing Meromorphic Univalent Functions [PDF]
Proceedings of the American Mathematical Society, 1988 This note studies the best constants s s such that the function k ( z ) = z + 2 + 1 / z k(z) = z + 2 + 1/z solves the linear coefficient problems max Re { s
Abu-Muhanna, Yusuf, Schober, Glenn
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Radii of covering disks for locally univalent harmonic mappings
, 2016 For a univalent smooth mapping $f$ of the unit disk $\ID$ of complex plane onto the manifold $f(\ID)$, let $d_f(z_0)$ be the radius of the largest univalent disk on the manifold $f(\ID)$ centered at $f(z_0)$ ($|z_0|
Graf, Sergey Yu. +2 more
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Quasi‐convex univalent functions [PDF]
International Journal of Mathematics and Mathematical Sciences, 1979 In this paper, a new class of normalized univalent functions is introduced. The properties of this class and its relationship with some other subclasses of univalent functions are studied. The functions in this class are close‐to‐convex.
K. Inayat Noor, D. K. Thomas
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