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On subordination for higher-order derivatives of multivalent functions associated with the generalized srivastava-attiya operator

Elrifai E. A., Darwish H. E., Ahmed A. R.

Demonstratio Mathematica

2012

Vol. 45, nr 1

39-50

In this paper, we study and use differential subordination methods to obtain several interesting subordination results and best dominants for higher order derivatives of multivalent functions deffined with Srivastava Attiya operator.

On p-valent functions of complex order

Dileep L., Latha S.

Demonstratio Mathematica

2012

Vol. 45, nr 3

541-547

The purpose of the present paper is to derive characterization theorem and radius of starlikeness for certain class of p-valent analytic functions. In connection with these results some more properties are discussed

Certain class of p-valent functions associated with the wright generalized hypergeometric function

Aouf M., Shamandy A., Mostafa A., Madian S.

Demonstratio Mathematica

2010

Vol. 43, nr 1

39-54

Using the Wright's generalized hypergeometric function, we introduce a new class Wk (p, q, s; A, B, lambda) of analytic p-valent functions with negative coefficients. In this paper we investigate coefficients estimates, distortion theorem, the radii of p-valent starlikeness and p-valent convexity and modified Hadamard products.

On certain subclasses of meromorphically p-valent functions

Patel J., Sahoo P.

Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka

2001

z. 25 [190]

139-149

The object of the present paper is to investigate some properties and characteristics of the subclasses summation n,p (alpha) and [...]n,p (alpha) of meromorphically p-valent functions in the annulus U ={z :0 <\z\ <1}. We also study certain integrals of functions belonging to these classes.

Radius of strong starlikeness of certain p-valent analytic functions

Gangadharan A., Ravichandran V., Shanmugam T.

Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka

2000

z. 24 [181]

37-47

Let Q (z) be a polynomial of degree n > 0 with no zeros in \z\ < R, R > 1, f (z) be analytic in [delta] = {z : \z\ < 1} . The Radius of strong starlikeness of the function F (z) = f (z) [Q (z)] " ,beta /n real, is computed under various conditions on f (z).