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This paper is concerned with certain generalized subclasses of bi-univalent functions defined with subordination in the open unit disc $E = \}z : ∣ z ∣ < 1\{$ . The bounds for the initial coefficients for the functions in these classes are studied. The earlier known results follow as special cases.

Initial Maclaurin coefficient estimates for $λ$ -pseudo-starlike bi-univalent functions associated with Sakaguchi-type functions

Abbas Kareem Wanas, Basem Aref Frasin (2022)

Mathematica Bohemica

We introduce and study two certain classes of holomorphic and bi-univalent functions associating $λ$ -pseudo-starlike functions with Sakaguchi-type functions. We determine upper bounds for the Taylor–Maclaurin coefficients $| a_{2} |$ and $| a_{3} |$ for functions belonging to these classes. Further we point out certain special cases for our results.

Injectivity of local quasi-isometries.

F.W. Gehring (1982)

Commentarii mathematici Helvetici

Injectivity of sections of convex harmonic mappings and convolution theorems

Liulan Li, Saminathan Ponnusamy (2016)

Czechoslovak Mathematical Journal

We consider the class $ℋ_{0}$ of sense-preserving harmonic functions $f = h + \bar{g}$ defined in the unit disk $| z | < 1$ and normalized so that $h (0) = 0 = h^{'} (0) - 1$ and $g (0) = 0 = g^{'} (0)$ , where $h$ and $g$ are analytic in the unit disk. In the first part of the article we present two classes $𝒫_{H}^{0} (α)$ and $𝒢_{H}^{0} (β)$ of functions from $ℋ_{0}$ and show that if $f \in 𝒫_{H}^{0} (α)$ and $F \in 𝒢_{H}^{0} (β)$ , then the harmonic convolution is a univalent and close-to-convex harmonic function in the unit disk provided certain conditions for parameters $α$ and $β$ are satisfied. In the second part we study the harmonic sections (partial...

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Inequalities defining certain subclasses of analytic and multivalent functions involving fractional calculus operators.

Inequalities for entire functions of finite degree and for polynomials.

Inequalities for Polynomials with a Prescribed Zero.

Inequalities for the maximum modulus of the derivative of a polynomial.

Inequalities for the polar derivative of a polynomial.

Inequalities for zeros of entire functions.

Inequalities in the complex plane.

Inequalities involving a class of analytic functions

Inequalities involving multipliers for multivalent harmonic functions.

Inequalities of Grunsky-Nehari type for pairs of vector functions

Infinitesimal geometry of quasilinear mappings.

Initial coefficients for generalized subclasses of bi-univalent functions defined with subordination

Initial Maclaurin coefficient estimates for $λ$ -pseudo-starlike bi-univalent functions associated with Sakaguchi-type functions

Injectivity of local quasi-isometries.

Injectivity of sections of convex harmonic mappings and convolution theorems

Integrability and Removability Results for Quasiregular Mappings in High Dimensions.

Integral mean estimates for polynomials whose zeros are within a circle.

Integral mean estimates for polynomials whose zeros are within a circle.

Integral means and arc length of starlike log-harmonic mappings.

Integral Means and Radial Growth of Bloch Functions.

Currently displaying 21 – 40 of 69