Results 11 to 20 of about 117,934 (254)

Neighborhoods of certain analytic functions with negative coefficients

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1996
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
doaj   +2 more sources

R-analytic functions [PDF]

open access: yesArchive for Mathematical Logic, 2016
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 $R$.
openaire   +3 more sources

Commuting analytic functions [PDF]

open access: yesTransactions of the American Mathematical Society, 1984
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 .
openaire   +2 more sources

a*-families of analytic functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1984
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
doaj   +1 more source

A new criterion for starlike functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1996
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
doaj   +1 more source

Approximation of Analytic Functions by Chebyshev Functions

open access: yesAbstract and Applied Analysis, 2011
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
doaj   +1 more source

Gram Points in the Universality of the Dirichlet Series with Periodic Coefficients

open access: yesMathematics, 2023
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
doaj   +1 more source

Subordination Implications and Coefficient Estimates for Subclasses of Starlike Functions

open access: yesMathematics, 2020
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
doaj   +1 more source

A Subclass of Analytic Functions Associated with Hypergeometric Functions [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2019
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
doaj   +1 more source

Gamma Generalization Operators Involving Analytic Functions

open access: yesMathematics, 2021
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
doaj   +1 more source

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