On circularly symmetric functions

• Autorzy: Koczan L. , Zaprawa P.

Identyfikatory

DOI

10.7862/rf.2014.6

• Języki publikacji: EN

Abstrakty

EN

[...] In this paper besides X we also consider some of its subclasses: X(...) and Y (...) S consisting of functions in X with the second coeffcient fixed and univalent starlike functions respectively. According to the suggestion, in Abstract we add one more paragraph at the end of the section: For X(...) we find the radii of starlikeness, starlikeness of order (alfa), univalence and local univalence. We also obtain some distortion results. For Y (...) S we discuss some coecient problems, among others the Fekete-Szego ineqalities.

Słowa kluczowe

EN

symmetric function; radius of starlikeness; zeros of polynomials

PL

funkcja symetryczna; wielomiany

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Journal of Mathematics and Applications
• Rocznik: 2014
• Tom: Vol. 37
• Strony: 59--66
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Koczan L.

• Department of Mathematics Lublin University of Technology, Nadbystrzycka 38D, 20-618 Lublin, Poland

autor

Zaprawa P.

• Department of Mathematics Lublin University of Technology, Nadbystrzycka 38D, 20-618 Lublin, Poland

Bibliografia

• [1] Q. Deng, On circularly symmetric functions, Appl. Math. Lett. 23 No. 12 (2010) 1483-1488.
• [2] J.A. Jenkins, On circularly symmetric functions, Proc. Amer. Math. Soc. 6 (1955) 620-624.
• [3] R.J. Libera, Disk-like functions, J. Aust. Math. Soc. 11 (1970) 251-256.
• [4] M. Szapiel, W. Szapiel, Extreme points of convex sets (IV). Bounded typically real functions, Bull. Acad. Polon. Sci., Math. 30 (1982) 49-57.
• [5] P. Zaprawa, Distortion theorems for certain subclasses of typically real functions, Stud. Univ. Babes-Bolyai Math. 57 (2012) 301308.