On T-neighborhoods of analytic functions

• Autorzy: Bednarz U. , Sokół J
• Języki publikacji: EN

Słowa kluczowe

EN

analytic function; starlike function; convex function; concave function; Hadamard product; neighborhood of function

PL

funkcja analityczna; funkcja gwiaździsta; funkcja wypukła; funkcja wklęsła; iloczyn Hadamarda; splot Hadamarda; otoczenie funkcji

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Journal of Mathematics and Applications
• Rocznik: 2010
• Tom: Vol. 32
• Strony: 25--32
• Opis fizyczny: Bibliogr. 16 poz., wykr.

Twórcy

autor

Bednarz U.

autor

Sokół J

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

Bibliografia

• [1] F.G. Avkhadiev, Ch. Pommerenke, K.I. Wirths, Sharp inequalities for the coeffcients of concave shlicht functions, Comment. Math. Helv. 81(2006) 801-807.
• [2] F.G. Avkhadiev, Ch. Pommerenke, K.I. Wirths, On the coeffcients of concave univalent functions, Math. Nachr. 271(2004) 3-9.
• [3] F.G. Avkhadiev, K.I. Wirths, Convex holes produce lower bound for coeffcients, Complex Var. 47(2002) 553-563.
• [4] U. Bednarz, J. Sokół, On the integral convolution of certain classes of analytic functions, Taiwanese Journal of Math. 13(2009), no. 5, 1387-1396.
• [5] U. Bednarz, Stability of the Hadamard product of k-uniformly convex and k-starlike functions in certain neighbourhood, Demonstratio Math. 38(4)(2005) 837-845.
• [6] U. Bednarz, S. Kanas, Stability of the integral convolution of k-uniformly convex and k-starlike functions, J. Appl. Anal. 10(1)(2004) 105-115.
• [7] A. Bielecki, Z. Lewandowski, Sur une generalisation de quelques theoremes de M. Biernacki sur les fonctions analytiques, Ann. Polon. Math. 12(1962) 65-70.
• [8] R. Fournier, On neighbourhoods of univalent starlike functions, Ann. Polon. Math. 47(20(1986) 189-202.
• [9] R. Fournier, On neighbourhoods of univalent convex functions, Rocky Mountain J. Math. 16 (3)(1986) 579-589.
• [10] R. Fournier, A note on neighbourhoods of univalent functions, Proc. Amer. Math. Soc. 87(1)(1983) 117-120.
• [11] I.R. Netzmetdinov, Stability of geometrical properties of convolutions of univalent functions in certain neighborhoods, Russ. Math. (Iz. VUZ) 38(8) (1994) 46-54.
• [12] I.R. Nezhmetdinov, Stability of geometric properties of convolutions of univalent functions, Russ. Math. (Iz. VUZ) 37(11)(1993) 27-34.
• [13] St. Ruscheweyh, Neighborhoods of univalent functions, Proc. Amer. Math. Soc. 81(1981) 521-529.
• [14] T. Sheil-Small, On linear accessibility and the conformal mapping of convex domains, J. Analyse Math. 25(1972) 259-276.
• [15] T. Sheil-Small, E.M. Silvia, Neighborhoods of analytic functions, J. Analyse Math. 52(1989) 210-240.
• [16] J. Stankiewicz, Neighbourhoods of meromorphic functions and Hadamard products, Ann. Polon. Math. 46(1985) 317-331.