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T-Direction and Borel Direction of Algebroid Functions of Finite and Positive Order
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Zhao-Jun Wu
Veröffentlicht/Copyright:
10. März 2010
Abstract
In the present paper, the connection between a T-direction and Borel direction of algebroid functions is investigated. Two algebroid functions (not meromorphic) are obtained to prove that T-directions and Borel directions are two different classes of singular directions for algebroid functions. The existence of an algebroid function (not meromorphic) with a given Borel direction is proved.
Key words and phrases:: T-direction; Borel direction; algebroid function of finite and positive order
Received: 2007-09-17
Revised: 2008-07-28
Published Online: 2010-03-10
Published in Print: 2009-September
© Heldermann Verlag
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Schlagwörter für diesen Artikel
T-direction;
Borel direction;
algebroid function of finite and positive order
Artikel in diesem Heft
- Boundary Value Problems for Fractional Differential Equations
- On the Approximate Properties of Generalized Cesàro Means of Conjugate Trigonometric Fourier Series
- Another Version of Fuglede–Putnam Theorem
- On Divergence of Fourier Series with Respect to Multiplicative Systems on the Sets of Measure Zero
- Uniqueness of Entire or Meromorphic Functions Concerning Differential Polynomials
- An Almost Greedy Uniformly Bounded Orthonormal Basis in 𝐿𝑝(·)([0, 1]) Spaces
- Rate of Approximation for Certain Szasz–Mirakyan–Durrmeyer Operators
- On the (𝐶, α)-Means of Quadratic Partial Sums of Double Walsh–Kaczmarz–Fourier Series
- Convergence in Measure of Partial Sums of Double Vilenkin–Fourier Series
- On the Exponential Uniform Strong Summability of Multiple Trigonometric Fourier Series
- On the Integrability and Uniform Convergence of Multiplicative Fourier Transforms
- A Note on the Boundedness of the Hilbert Transform in Weighted Grand Lebesgue Spaces
- Necessary Conditions for Integrability of the Fourier Transform
- The Diagonal Mapping in Bmoa-Type Spaces of Analytic Functions on the Polydisk
- Representation of Quasi-Measure by Henstock–Kurzweil Type Integral on a Compact-Zero Dimensional Metric Space
- T-Direction and Borel Direction of Algebroid Functions of Finite and Positive Order