Some families of meromorphically multivalent functions and their applications

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

Abstrakty

EN

In the aim of the present paper, two families of meromorphically multivalent (non-normalized) functions with complex coefficients in the punctured unit disk are stated. They also indicate relevant connections of these families of meromorphically multivalent and meromorphic univalent functions which involve some interesting results on this topics of Geometric and Analytic Functions Theory.

Słowa kluczowe

EN

univalent functions; multivalent functions; meromorphic functions; convex functions; multivalent starlike functions; Jack's lemma

PL

funkcje jednolistne; funkcje wielolistne; funkcje meromorficzne; funkcje wypukłe; lemat Jacks'a

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka
• Rocznik: 2004
• Tom: z. 27 [212]
• Strony: 19--23
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Dziok Jacek

• University of Rzeszów, Rzeszów, Poland

autor

Irmak H.

• Department of Mathematics Education, Faculty of Education, Başkent University

Bibliografia

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• [2] -, -, -, -, Some subclasses of meromorphically multivalent functions with negative or positive coefficients, Pan Amer. Math. J. 7 (4) (1997), 53-72.
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• [4] J. Dziok, and H. Irmak, Certain operators and inequalities and their applications to meromorphically multivalent functions, Demonstratio Math. 36 (2003), 839-846.
• [5] A. W. Goodman, Univalent Functions, Vols. I and II, Polygonal Publishing House, Washington, New Jersey, 1983.
• [6] H. Irmak, and S. Owa, Certain inequalities for multivalent starlike and meromor¬ phically multivalent starlike functions, Bull. Inst. Math. Acad. Sinica 31 (1) (2003), 11-21.
• [7] H. Irmak, R. K. Raina, and S. Owa, A criterion for multivalent starlike and meromorphically multivalent starlike functions, Inter. J. Appl. Math. 12 (2) (2003), 93-98.
• [8] H. Irmak, N. E. Cho, Ö. F. Çetin, and R. K. Raina, Certain inequalities involving meromorphically multivalent, Hacet. Bull. Nat. Sci. Eng. Ser. B 30 (2001), 39-43.
• [9] I. S. Jack, Functions starlike and convex of order a, J. London Math. Soc. 3 (1971), 469-474.
• [10] J. L. Liu, and H. M. Srivastava, A lineer operator and associated families of meromorphically multivalent functions, J. Math. Anal. Appl. 259 (2001), 566-581.
• [11] H. M. Srivastava, and S. Owa, (Editors), Current Topics in Analytic Function Theory, World Scientific Publication, Singapore, 1992.