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Some results on the growth properties of Wronskians

Sanjib Kumar Datta, Arindam Jha (2009)

Archivum Mathematicum

The aim of this paper paper is to study the comparative growth properties of the composition of entire and meromorphic functions and wronskians generated by them improving some earlier results.

Some Results on the Properties of Differential Polynomials Generated by Solutionsof Complex Differential Equations

Zinelâabidine LATREUCH, Benharrat BELAÏDI (2015)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

This paper is devoted to considering the complex oscillation of differential polynomials generated by meromorphic solutions of the differential equation f ( k ) + A k - 1 ( z ) f ( k - 1 ) + + A 1 ( z ) f ' + A 0 ( z ) f = 0 , where A i ( z ) ( i = 0 , 1 ...

Some uniqueness results on meromorphic functions sharing three sets

Abhijit Banerjee (2007)

Annales Polonici Mathematici

We discuss the uniqueness of meromorphic functions when they share three sets with the notion of weighted sharing and improve two results of Lahiri-Banerjee and Yi-Lin. We also improve a recent result of the present author and thus provide an answer to a question of Gross, in a new direction.

Spaces of sequences, sampling theorem, and functions of exponential type

Rodolfo Torres (1991)

Studia Mathematica

We introduce certain spaces of sequences which can be used to characterize spaces of functions of exponential type. We present a generalized version of the sampling theorem and a "nonorthogonal wavelet decomposition" for the elements of these spaces of sequences. In particular, we obtain a discrete version of the so-called φ-transform studied in [6] [8]. We also show how these new spaces and the corresponding decompositions can be used to study multiplier operators on Besov spaces.

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