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On the order of convolution consistence of the analytic functions with negative coefficients

Grigore S. Sălăgean, Adela Venter (2017)

Mathematica Bohemica

Making use of a modified Hadamard product, or convolution, of analytic functions with negative coefficients, combined with an integral operator, we study when a given analytic function is in a given class. Following an idea of U. Bednarz and J. Sokół, we define the order of convolution consistence of three classes of functions and determine a given analytic function for certain classes of analytic functions with negative coefficients.

Properties on subclass of Sakaguchi type functions using a Mittag-Leffler type Poisson distribution series

Elumalai Krishnan Nithiyanandham, Bhaskara Srutha Keerthi (2024)

Mathematica Bohemica

Few subclasses of Sakaguchi type functions are introduced in this article, based on the notion of Mittag-Leffler type Poisson distribution series. The class 𝔭 - Φ 𝒮 * ( t , μ , ν , J , K ) is defined, and the necessary and sufficient condition, convex combination, growth distortion bounds, and partial sums are discussed.

Sakaguchi type functions defined by balancing polynomials

Gunasekar Saravanan, Sudharsanan Baskaran, Balasubramaniam Vanithakumari, Serap Bulut (2025)

Mathematica Bohemica

The class of Sakaguchi type functions defined by balancing polynomials has been introduced as a novel subclass of bi-univalent functions. The bounds for the Fekete-Szegö inequality and the initial coefficients | a 2 | and | a 3 | have also been estimated.

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