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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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On certain analytic univalent functions
We consider the class of analytic functions B(α) to investigate some properties for this class. The angular estimates of functions in the class B(α) are obtained. Finally, we derive some interestingExpand
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Family of analytic functions of complex order.
In this paper, we introduce the class QT (Φ,Ψ; α, b) of analytic functions of complex order b and type α(0 ≤ α < 1). Coefficient inequalities, distortion theorems, closure theorems, radii ofExpand
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Coefficient inequality for certain classes of analytic functions
The objective of this paper is to an obtain an upper bound to the second Hankel determinantja2a4 a 2 j for the function f, belonging to a certain subclass of analytic functions, using ToeplitzExpand
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Univalence of integral operators involving Bessel functions
TLDR
We show that by using some inequalities for the normalized Bessel functions of the first kind the univalence of some integral operators which involve the sine and cosine functions can be derived easily via some well-known univalences criteria. Expand
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Coefficient bounds for certain classes of bi-univalent functions
In this paper, we introduce two new subclasses of the function class Σ of bi-univalent functions defined in the open unit disk. Furthermore, we find estimates on the coefficients |a2| and |a3| forExpand
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Coefficient Inequalities for Certain Classes of Sakaguchi Type Functions
for complex numbers s, t with s ∕= t and for α(0 ≤ α < 1). Sufficient condition involving coefficient inequalities for f(z) to in the class S(α, t) and T (α, s, t) are obtained, where f(z) ∈ T (α, s,Expand
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Comprehensive family of harmonic univalent functions
In this paper, we introduce a comprehensive family of harmonic uni- valent functions which contains various well-known classes of harmonic univalent functions as well as many new ones. CoefficientExpand
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NEW GENERAL INTEGRAL OPERATORS OF p-VALENT FUNCTIONS
In this paper, we introduce new general integral operators. New sufficient conditions for these operators to be p-valently starlike,p-valently close-to-convex, uniformly p-valent close-to-convex andExpand
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Convexity of integral operators of p-valent functions
  • B. Frasin
  • Computer Science, Mathematics
  • Math. Comput. Model.
  • 1 March 2010
TLDR
In this paper, we obtain the order of convexity of new general integral operators of p-valent functions on some classes of k-uniformly p-Valent convex functions. Expand
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