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Abstrakty
In this paper we consider a subclass of p-valent functions defined by certain differential-integral operator. By using the Krein-Milman theorem we obtain the extreme points of the classs. Some extremal problems in the class are also determined.
Wydawca
Czasopismo
Rocznik
Tom
Strony
63--71
Opis fizyczny
Bibliogr. 8 poz.
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autor
- Institute of Mathematics University of Rzeszów ul. Rejtana 16A, PL- 35-310 Rzeszów, Poland, jdziok@univ.rzeszow.pl
Bibliografia
- [1] J. Dziok, Applications of the Jack Lemma, Acta Math. Hungar. 105 (2004), 93-102.
- [2] J. Dziok, Classes of functions defined by certain differential-integral operator, J. Comp. Appl. Math. 105 (1999), 245-255.
- [3] J. Dziok, Some relations including various linear operators, Demonstratio Math. 40 (2007), 77-84.
- [4] Y. C. Kim and H. M. Srivastava, Fractional integral and other linear operators associated with the Gaussian hypergeometric function, Complex Variables Theory Appl. 34 (1997), 293-312.
- [5] D. Hallenbeck and T. H. MacGregor, Linear Problems and Convexity Techniques in Geometric Function Theory, Pitman Advanced Publishing Program, Boston, Pitman, 1984.
- [6] M. Krein, D. Milman, On the extreme points of regularly convex sets, Studia Math. 9 (1940), 133- 138.
- [7] P. Montel, Sur les families de functions analytiques qui admettent des valeurs exceptionelles dans un domaine, Ann. Sci. Ecole Norm. Sup. 23 (1912), 487-535.
- [8] H. L. Royden, Real Analysis, Prentice-Hall, Englewood Cliffs, New Jersey, 1988.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA3-0047-0007