Certain subclass of multivalent functions involving the Cho-Kwon-Srivastava operator

• Autorzy: Zeng T. , Gao Ch-Y. , Wang Z-G. , Aghalary R.
• Języki publikacji: EN

Abstrakty

EN

In the present paper, we introduce a new subclass S(sup (j)) (sub p, λ) (α; a, c; φ) of multivalent functions involving the Cho-Kwon-Srivastava operator. Such results as inclusion relationships, coefficient estimates and convolution properties for this class are proved. The results presented here would provide extensions of those given in earlier works.

Słowa kluczowe

EN

analytic functions; multivalent functions; subordination between analytic functions; Hadamard product; Cho-Kwon-Srivastava operator

PL

funkcja analityczna; funkcja wielolistna; splot Hadamarda; iloczyn Hadamarda; operator Cho-Kwon-Srivastavy

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Journal of Mathematics and Applications
• Rocznik: 2008
• Tom: Vol. 30
• Strony: 161--170
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Zeng T.

autor

Gao Ch-Y.

autor

Wang Z-G.

autor

Aghalary R.

• School of Mathematics and Computing Science Changsha University of Science and Technology Changsha 410076, Hunan, People's Republic of China,

Bibliografia

• [1] R. Aghalary, On subclasses of p-valent analytic functions denned by integral operators, Kyungpook Math. J. 47 (2007), 393-401.
• [2] N. E. Cho, 0. S. Kwon, H. M. Srivastava, Inclusion relationships and argument properties for certain subclasses of multivalent functions associated with a family of linear operators, J. Math. Anal. Appl. 292 (2004), 470-483.
• [3] P. Eenigenburg, S. S. Miller, P. T. Mocanu and M. O. Reade, On a Briot-Bouquet differential subordination, in General Mathematics 3, International Series of Numerical Mathematics, Vol. 64, Birkhauser Verlag, Basel, 1983, pp. 339-348; see also Rev. Roumaine Math. Pures Appl. 29 (1984), 567-573.
• [4] J. Patel, On certain subclasses of multivalent functions involving Cho-Kwon-Srivastava operator, Ann. Univ. Mariae Curie-Sklodowska Sect. A 60 (2006), 75-86.
• [5] H. Saitoh, A linear operator and its applications of first order differential subordinations, Math. Japan. 44 (1996), 31-38.
• [6] J. Sokól and L. Trojnar-Spelina, Convolution properties for certain classes of multivalent functions, J. Math. Anal. Appl. 337 (2008), 1190-1197.