Results 11 to 20 of about 117,934 (254)
Neighborhoods of certain analytic functions with negative coefficients
The object of the present paper is to derive some properties of neighborhoods of analytic functions with negative coefficients in the open unit disk.
Osman Altintas, Shigeyoshi Owa
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We introduce the notion of $R$-analytic functions. These are definable in an o-minimal expansion of a real closed field $R$ and are locally the restriction of a $K$-differentiable function (defined by Peterzil and Starchenko) where $K=R[\sqrt{-1}]$ is the algebraic closure of $R$.
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Commuting analytic functions [PDF]
Let f f and g g (not conformal automorphisms of the unit disk) be analytic mappings of the unit disk into itself. We say f f and g g commute if f ∘ g = g ∘ f f \circ g = g \circ f .
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a*-families of analytic functions
Using convolutions, a new family of analytic functions is introduced. This family, called a*-family, serves in certain situations to unify the study of many previously well known classes of analytic functions like multivalent convex, starlike, close-to ...
G. P. Kapoor, A. K. Mishra
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A new criterion for starlike functions
In this paper we shall get a new criterion for starlikeness, and the hypothesis of this criterion is much weaker than those in [1] and [2].
Ling Yi, Shusen Ding
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Approximation of Analytic Functions by Chebyshev Functions
We solve the inhomogeneous Chebyshev's differential equation and apply this result for approximating analytic functions by the Chebyshev functions.
Soon-Mo Jung, Themistocles M. Rassias
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Gram Points in the Universality of the Dirichlet Series with Periodic Coefficients
Let a={am:m∈N} be a periodic multiplicative sequence of complex numbers and L(s;a), s=σ+it a Dirichlet series with coefficients am. In the paper, we obtain a theorem on the approximation of non-vanishing analytic functions defined in the strip 1 ...
Darius Šiaučiūnas, Monika Tekorė
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Subordination Implications and Coefficient Estimates for Subclasses of Starlike Functions
In the present paper, we consider various subclasses of star-like functions, which are defined by subordination and then we obtain several subordination implications related to these subclasses.
Nak Eun Cho +3 more
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A Subclass of Analytic Functions Associated with Hypergeometric Functions [PDF]
In the present paper, we have established sufficient conditions for Gaus-sian hypergeometric functions to be in certain subclass of analytic univalent functions in the unit disc $mathcal{U}$.
Santosh B. Joshi +2 more
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Gamma Generalization Operators Involving Analytic Functions
In the present paper, we give an operator with the help of a generalization of Boas–Buck type polynomials by means of Gamma function. We have approximation properties and moments.
Qing-Bo Cai +2 more
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