Filomat 2009 Volume 23, Issue 3, Pages: 1-13
https://doi.org/10.2298/FIL0903001E
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Inclusion and neighborhood properties of a certain subclasses of p-valent functions with negative coefficients
El-Ashwah R.M. (Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt)
By means of Ruscheweyh derivative operator, we introduced and investigated two new subclasses of p-valent analytic functions. The various results obtained here for each of these function class include coefficient bounds and distortion inequalities, associated inclusion relations for the (n, θ)-neighborhoods of subclasses of analytic and multivalent functions with negative coefficients, which are defined by means of non-homogenous differential equation.
Keywords: analytic functions, (n, θ)-neighborhood, non-homogenous differential equation