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29 results on '"Dziok, J."'

27. Inclusion and Neighborhood Properties of Certain Subclasses of Analytic and Multivalent Functions.

Author

Aouf, M. K. and Dziok, J.

Subjects
*SET theory, *ANALYTIC functions, *DIFFERENTIAL inclusions, *HYPERGEOMETRIC functions, *LINEAR operators, *MATHEMATICAL convolutions, *INTEGRAL theorems, *BINOMIAL coefficients, *NUMERICAL analysis, *APPROXIMATION theory
Abstract

In the paper we introduce and investigate two new subclasses of multivalently analytic functions defined by Dziok-Srivastava operator. In this paper we obtain the coefficient estimates and the consequent inclusion relationships involving the neighborhoods of the analytic functions. [ABSTRACT FROM AUTHOR]

Published
2009

28. A Unified Class of Analytic Functions with Varying Argument of Coefficients.

Author

Dziok, J. and Srivastava, H. M.

Subjects
*ANALYTIC functions, *COMPLEX variables, *SET theory, *BINOMIAL coefficients, *MATHEMATICAL convolutions, *DISTRIBUTION (Probability theory), *DIFFERENTIAL equations, *MATHEMATICAL analysis, *MATHEMATICS
Abstract

The object of the present paper is to investigate several classes of analytic functions with varying argument of coefficients, which are defined here by means of the principle of subordination between analytic functions. Such properties as the coefficient estimates, distortion theorems, subordination theorems, convolution properties, integral means inequalities, and radii of conexity and starlikenes are investigated. Some consequences of our main results for new or known classes of analytic functions are also pointed out. [ABSTRACT FROM AUTHOR]

Published
2009

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