Remarks on geometrical properties of Hadmard product of regular functions

• Autorzy: Piejko, Krzysztof
• Języki publikacji: EN

Abstrakty

EN

Let [...] be the class of functions regular in the unit disc. For two functions f(z) = [..].

Słowa kluczowe

PL

iloczyn Hadamarda; funkcje regularne; obszar ograniczony; sploty funkcji

EN

Hadamard product; convolution; bounded domain; regular functions

• Czasopismo: Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka
• Rocznik: 2004
• Tom: z. 27 [212]
• Strony: 43-48
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Piejko, Krzysztof

• Department of Mathematics, Rzeszów University of Technoloy, Rzeszów, Poland,

Bibliografia

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• [2] E. Paprocki, J. Stankiewicz, A. Szynal, Convolution and same special angularly domains, Folia Sci. Univ. Techn. Resov., 20(1996), 98-111.
• [3] K. Piejko, J. Stankiewicz Convolution of functions with free normalization, Demonstratio Mathematica, Vol. XXXIV, No 1(2001), 69-76.
• [4] G. Pólya , I. J. Schoenberg, Remarks on de la Vallee Poussin means and convex conformal maps of the circle, Pacific J. Math. 8(1958), 295-334.
• [5] St. Ruscheweyh, T. Sheil - Small, Hadamard product of schlicht functions and the Pólya-Schoenberg conjecture, Comtnt. Math. Helv. 48(1973), 119-135.
• [6] J. Stankiewicz, Subordination, convolution and same subclasses of regular functions, Mathematica, T. 36(59), 2(1994), 239-244.
• [7] -, Convolution in the theory of univalent functions, Proceedings of Second Inter¬ national Workshop, 23-30 August 1996(1998), 466-472.
• [8] -, Subordination, problems in the theory of functions of one complex variable, Lecture Notes in Mathematics, Springer, 1039(1983), 464-465.