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On differential sandwich theorems of analytic functions defined by certain generalized linear operator

Seoudy T. M., Aouf M. K.

Journal of Mathematics and Applications

2014

Vol. 37

97--109

In this paper, we obtain some applications of first order differential subordination and superordination results involving certain linear operator and other linear operators for certain normalized analytic functions. Some of our results improve and generalize previously known results.

Certain subordination results on the convolution of analytic functions

Sharma P., Maurya R. K.

Journal of Mathematics and Applications

2014

Vol. 37

111--118

In this paper, certain subordination results on the convolution of finite number of analytic functions are derived. Our results include a sufficiency condition for convexity of the convolution of analytic functions fi satisfying [wzór].

Stability of the Hadamard product of k-uniformly convex and k-starlike functions in certain neighbourhood

Bednarz U.

Demonstratio Mathematica

2005

Vol. 38, nr 4

837--845