Mushtaq Shaker, G. Srivastava

86113

Bornological spaces of entire functions represented by Dirichlet series having slow growth

Bornological spaces of entire functions represented by Dirichlet series having slow growth

The study of spaces of entire functions was initiated by V.G.Iyer [6] and the space of entire functions represented by Dirichlet series has been studied by Hussein and Kamthan [4] and others. Patwardhan [9] has succesfully studied bornological properties of the spaces of entire function in terms of the coefficients of Taylor series expansions. In this paper we have used another norm and study the bornological aspects of the space $\Gamma$ of all entire Dirichlet series $\alpha(s)=\sum_{n=1}^\infty a_n\exp(s\lambda_n)$ of order zero.

Keywords:

Representations of entire functions by series and integrals,

İstanbul University Science Faculty The Journal Of Mathematics Physics and Astronomy-Cover

ISSN: 1300-0713
Başlangıç: 1916
Yayıncı: İstanbul Üniversitesi

Arşiv

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