Certain operators and inequalities and their applications to meromorphically multivalent functions

• Autorzy: Dziok J. , Irmak H.
• Języki publikacji: EN

Abstrakty

EN

In the present paper, making use of certain operators, some theorems involving inequalities on meromorphically multivalent functions in the punctured unit disk are obtained. Moreover, some of the results which are important for geometric function theory are also included.

Słowa kluczowe

EN

meromorphic functions; multivalent functions; differential operators; Jack's lemma

PL

funkcje meromorficzne; multivalentne funkcje; operatory różniczkowe

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2003
• Tom: Vol. 36, nr 4
• Strony: 839--846
• Opis fizyczny: Bibliogr. 12 poz.

Twórcy

autor

Dziok J.

• Institute of Mathematics, University of Rzeszów, ul. Rejtana 16A, 35-310 Rzeszów, Poland

autor

Irmak H.

• Department of Mathematics, Akdeniz University, TR-07058, Antalya, Turkey

Bibliografia

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• [3] M. P. Chen, H. Irmak, H. M. Srivastava and C. S. Yu, Some subclasses of meromorphically multivalent functions with negative or positive coefficients, Panamer. Math. J. 7 (4) (1997), 53-72.
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• [5] J. Dziok, Classes of functions defined by certain differential-integral operator, J. Comp, and Appl. Math. 105 (1999), 245-255.
• [6] J. Dziok, H. Irmak, Certain classes and inequalities and their applications to multivalently analytic functions, Folia Sci. Univ. Techn. Resoviensis 25 (2001), 55-62.
• [7] J. Dziok, H. M. Srivastava, Classes of analytic functions associated with the generalized hypergeometric function, Appl. Math. Comput. 103 (1999), 1-13.
• [8] A. W. Goodman, Univalent Functions, Vols. I and II, Polygonal Publishing House, Washington, New Jersey, 1983.
• [9] H. Irmak, N. E. Cho, Ö. F. Çetin and R. K. Raina, Certain inequalities involving meromorphically multivalent functions, Hacettepe Bull. Natur. Sei. Engrg. Ser. B, 30 (2001), 39-43.
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• [12] H. M. Srivastava, S. Owa (eds.), Current Topics in Analytic Function Theory, World Scientific Publication, Singapore, 1992.