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The main object of this article is to introduce and investigate an integral operator J s, b (f) defined, by using the Hurwitz–Lerch Zeta function, on the various subclasses of the class of normalized… (More)

- Adel A. Attiya
- 2005

For functions belonging to each of the subclasses M∗ (α) and N ∗ (α) of normalized analytic functions in the open unit disk U, which are investigated in this paper when α > 1, the authors derive… (More)

- Adel A. Attiya
- 2016

The importance of Mitttag-Leffler function due to its involvement in many problems in natural and applied science. In this paper we introduce an operator associated with generalized Mittag-Leffler… (More)

The operator Js,b(f) was introduced in (Srivastava and Attiya in Integral Transforms Spec. Funct. 18(3-4): 207-216, 2007), which makes a connection between Geometric Function Theory and Analytic… (More)

- Adel A. Attiya
- 2008

The purpose of the present paper is to derive an important inequality of the integral operator Iσ (f ) which was introduced by Jung, Kim and Srivastava. [J. Math. Anal. Appl. 176(1993), 138–147].… (More)

- Adel A. Attiya
- 2014

In this paper we obtain a number of interesting relations associated with some differential inequalities in the open unit disk, U={z:|z|<1}. Some applications of the main results are also… (More)

In the present paper, we derive some interesting relations associated with the Carathéodory functions which yield sufficient conditions for the Carathéodory functions in the open unit disk… (More)

In the present paper, we investigate the majorization properties for some classes of analytic functions associated with Srivastava-Attiya operator. Moreover, some applications of the main result are… (More)