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New subclasses of bi-univalent functions
TLDR
HYPERGEOMETRIC FUNCTIONS
- R. El-Ashwah, M. Aouf
- 2004
Given the hypergeometric function F (a, b; c; z) = ∞ P n=0 (a)n(b)n (c)n(1)n zn, we place conditions on a, b and c to guarante that zpF (a, b; c; z) will be in various subclasses of p-valent starlike… Expand
Bounded starlike functions of complex order
- M. A. Nasr, M. Aouf
- Mathematics
- 1 November 1983
AbstractLetF(b, M) (b ≠ 0 complex,M>1/2) denote the class of functionsf(z) =z + Σn=2∞anzn analytic in U={z:|z|<1} which satisfy for fixedM, f(z)/z ≠ 0 inU and
$$\left| {\frac{{b - 1 + \left[… Expand
MEROMORPHIC MULTIVALENT FUNCTIONS WITH POSITIVE AND FIXED SECOND COEFFICIENTS
- S. Owa, H. Darwish, M. Aouf
- Mathematics
- 1 September 1997
In this paper we consider the class (p; A, B) consisting of regular and p-valent functions in the punctured disc D = {z : 0 (p; A, B). Also we have shown that the class (p; A, B) is closed under… Expand
- 48
- 12
On certain multivalent functions with negative coefficients defined by using a differential operator
- M. Aouf
- Mathematics
- 2010
In this paper, we introduce the subclass Sj (n, p, q, α) of analytic and p-valent functions with negative coefficients defined by new operator Dnp. In this paper we give some properties of functions… Expand
- 16
- 8
- PDF
Coefficient estimates of new classes of q-starlike and q-convex functions of complex order
We introduce new classes of q -starlike and q -convex functions of complex order involving the q -derivative operator defined in the open unit disc. Furthermore, we find estimates on the coefficients… Expand
Certain subclasses of meromorphically multivalent functions associated with generalized hypergeometric function
- M. Aouf
- Computer Science, Mathematics
- Comput. Math. Appl.
- 1 February 2008
TLDR
CERTAIN SUBCLASSES OF MULTIVALENT PRESTARLIKE FUNCTIONS WITH NEGATIVE COEFFICIENTS
- M. Aouf
- Mathematics
- 1 October 2007
The object of the present paper is to investigate coefficient estimates for functions belonging to the subclasses R p(α,β) and C p(α,β) of p-valent γ -prestarlike functions of order α and type β with… Expand
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