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Abstrakty
We introduce a certain class H alpha/k (p, lambda;h) of multivalent analytic functions in the open unit disc involving a linear operator L alpha/k. The aim of this paper is to extend the similar concept of many earlier papers. We use techniques of differential subordination and convolution of this class.
Wydawca
Czasopismo
Rocznik
Tom
Strony
559--566
Opis fizyczny
Bibliogr. 18 poz.
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autor
- Department of Mathematics Rzeszów University of Technology ul. W. Pola 2, 35-959 Rzeszów, Poland, jsokol@prz.edu.pl
Bibliografia
- [1] B. C. Carlson, D. B. Shaffer, Starlike and prestarlike hypergeometric functions, SIAM J. Math. Anal. 15 (1984), 737-745.
- [2] N. E. Cho, O.S. Kwon, Inclusion and argument properties for certain subclasses of meromorphic functions associated with a family of multiplier transformations, J. Math. Anal. Appl. 300 (2004), 505-520.
- [3] J. Dziok, H. M. Srivastava, Certain subclasses of analytic functions associated with the generalized hypergeometric function, Integral Transform. Spec. Funct. 14 (2003), 7-18.
- [4] J. Dziok, H. M. Srivastava, Classes of analytic functions associated with the generalized hypergeometric function, Appl. Math. Comput. 103 (1999), 1-13.
- [5] S. Fukui, J. A. Kim, H. M. Srivastava, On certain subclasses of univalent functions by some integral operators, Math. Japonica, 50 (1999), 359-370.
- [6] D. I. Hallenbeck, St. Ruscheweyh, Subordination by convex functions, Proc. Amer. Math. Soc. 52 (1975), 191-195.
- [7] J.-L. Liu, H. M. Srivastava, A linear operator and associated families of meromor-phically multivalent functions, J. Math. Anal. Appl. 259 (2001), 566-581.
- [8] J.-L. Liu, H. M. Srivastava, Classes of meromorphically multivalent Functions associated with the generalized hypergeometric function, Math, and Comp. Modelling 39 (2004), 21-34.
- [9] J.-L. Liu, H. M. Srivastava, Certain properties of the Dziok-Srivastava operator, Appl. Math. Comput. 159 (2004), 485-493.
- [10] S. S. Miller, P. T. Mocanu, Differential subordinations and univalent functions, Michigan Math. J. 28 (1981), 157-171.
- [11] K. I. Noor, Some classes of p-valent analytic functions defined by certain integral operator, Appl. Math. Comput. 157 (2004), 835-840.
- [12] M. L. Morga, On a class of univalent functions whose derivatives have a positive real part, Riv. Math. Univ. Parma 7 (1981), 163-172.
- [13] J. Patel, P. Sahoo, Properties of a Class of Multivalent Analytic Functions, Comp. Math. Appl. 46 (2003), 1633-1644.
- [14] St. Ruscheweyh, J. Stankiewicz, Subordination under convex univalent functions, Bull. Polon. Acad. Sci., Math. 33 (1985), 499-502.
- [15] H. Saitoh, A linear operator and its applications of first order differential subordinations, Mat. Japonica 44 (1996), 31-38.
- [16] H. Saitoh, M. Nunokawa, On certain subclasses of analytic functions involving a linear operator, Surikaisekikenkyusho Kokyuroku 936 (1996), 97-109.
- [17] R. Singh, S. Singh, Convolution properties of a class of starlike functions, Proc. Amer. Math. Soc. 108 (1989), 145-152.
- [18] N. S. Sohi, A class of p-valent analytic functions, Indian J. Pure Appl. Math. 10(7) (1979), 826-834.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA3-0035-0005