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Problems Concerning Subclasses of Analytic Functions

Maslina Darus, Imran Faisal (2012)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

In the present paper, we establish some interesting results concerning the quasi-Hadamard product for certain subclasses of analytic functions.

Properties of functions concerned with Carathéodory functions

Mamoru Nunokawa, Emel Yavuz, Shigeyoshi Owa (2013)

Annales UMCS, Mathematica

Let Pn denote the class of analytic functions p(z) of the form p(z) = 1+cnzn + cn+1zn+1 + ... in the open unit disc U . Applying the result by S. S. Miller and P. T. Mocanu (J. Math. Anal. Appl. 65 (1978), 289-305), some interesting properties for p(z) concerned with Carath´eodory functions are discussed. Further, some corollaries of the results concerned with the result due to M. Obradović and S. Owa (Math. Nachr. 140 (1989), 97-102) are shown.

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.

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