Convolution properties of a class of analytic functions

• Autorzy: Piejko K. , Sokół J.
• Języki publikacji: EN

Abstrakty

EN

In this paper we consider convolution properties of a class of bounded analytic functions investigated by J. Stankiewicz and Z. Stankiewicz in [6]. We give some examples which verify a conjecture connected with this paper.

Słowa kluczowe

EN

convolution; subordination; bounded functions

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2004
• Tom: Vol. 37, nr 1
• Strony: 63--69
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Piejko K.

• Department of Mathematics, Technical University of Rzeszów, ul. W. Pola 2, 35-959 Rzeszów, Poland

autor

Sokół J.

• Department of Mathematics, Technical University of Rzeszów, ul. W. Pola 2, 35-959 Rzeszów, Poland

Bibliografia

• [1] J. Hadamard, Theoreme sur les series entieres, Acta Math. 22 (1898), 55-63.
• [2] W. Janowski, Some extremal problems for certain families of analytic functions, Ann. Polon. Math. 28 (1973), 297-326.
• [3] G. Polya, I.J. Schoenberg, Remarks on de la Vallee Pousin means and convex conformal maps of the circle, Pacific J. Math. 8(1958), 295-334.
• [4] W. Rogosinski, On the coefficients of subordinate functions, Proc. London Math. Soc. (2)48 (1943), 48-82.
• [5] S. Ruscheweyh, T. Sheil-Small, Hadamard product of schlicht functions and the Polya-Schoenberg conjecture, Comment. Math. Helv. 48 (1973), 119-135.
• [6] J. Stankiewicz, Z. Stankiewicz, Convolution of some classes of function, Folia Sci. Univ. Techn. Resov. 48 (1988), 93-101.