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New subclasses of bi-univalent functions
  • B. Frasin, M. Aouf
  • Mathematics, Computer Science
  • Appl. Math. Lett.
  • 1 September 2011
TLDR
We introduce two new subclasses of the function class Σ of bi-univalent functions defined in the open unit disc. Expand
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HYPERGEOMETRIC FUNCTIONS
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 starlikeExpand
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Some properties of Noor integral operator of -th order.
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Bounded starlike functions of complex order
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
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MEROMORPHIC MULTIVALENT FUNCTIONS WITH POSITIVE AND FIXED SECOND COEFFICIENTS
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 underExpand
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On certain multivalent functions with negative coefficients defined by using a differential operator
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 functionsExpand
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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 coefficientsExpand
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Certain subclasses of meromorphically multivalent functions associated with generalized hypergeometric function
  • M. Aouf
  • Computer Science, Mathematics
  • Comput. Math. Appl.
  • 1 February 2008
TLDR
By making use of the principle of differential subordination, we investigate several inclusion relationships and other interesting properties of certain subclasses of meromorphically multivalent functions which are defi…ned by certain linear operator involving the generalized hypergeometric function. Expand
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CERTAIN SUBCLASSES OF MULTIVALENT PRESTARLIKE FUNCTIONS WITH NEGATIVE COEFFICIENTS
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 withExpand
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