On harmonic univalent mappings with small coefficients

• Autorzy: Ganczar, A.
• Języki publikacji: EN

Słowa kluczowe

EN

harmonic mapping; univalent; convex; starlike; convolution

• Czasopismo: Demonstratio Mathematica
• Rocznik: 2001
• Tom: Vol. 34, nr 3
• Strony: 548-558
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Ganczar, A.

• Institute of Mathematics M.Curie-Skłodowska University 20-031 Lublin, Poland,

Bibliografia

• [1] Y. Avci and E. Złotkiewicz, On harmonic univalent mappings, Ann. Univ. Mariae Curie-Skłodowska Sect. A 44 (1990), 1-7.
• [2] J. Clunie and T. Sheil-Small, Harmonic univalent functions, Ann. Acad. Sei. Fenn. Ser. A. I Math. 9 (1984), 3-25.
• [3] J. Jahangiri, Coefficient bounds and univalence criteria for harmonic mappings with negative coefficients, Ann. Univ. Mariae Curie-Skłodowska Sect. A 52 (1998), 57-66.
• [4] H. Lewy, On the non-vanishing of the Jacobian in certain one-to-one mappings, Bull. Amer. Math Soc. 42 (1936), 689-692.
• [5] T. Sheil-Small, Constants for planar harmonic mappings, J. London Math. Soc. (2) 42 (1990), 237-248.
• [6] H. Silverman, Harmonic functions with negative coefficients, J. Math. Anal. Appl. 220 (1998), 283-289.