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On a class of entire functions represented by Dirichlet series. (English) Zbl 1277.30004

Summary: The present paper deals with a class of entire functions represented by Dirichlet series whose coefficients belong to a commutative Banach algebra with identity. We consider a class of such series which satisfy certain conditions and establish some results.

MSC:

30B50 Dirichlet series, exponential series and other series in one complex variable
46J15 Banach algebras of differentiable or analytic functions, \(H^p\)-spaces
17A35 Nonassociative division algebras
30D15 Special classes of entire functions of one complex variable and growth estimates
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References:

[2] Srivastava, G. S.; Sharma, A., Spaces of entire functions represented by vector valued Dirichlet series, J. Math. Appl., 34, 97-107 (2011) · Zbl 1382.30002
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[5] Srivastava, G. S.; Sharma, A., Some growth properties of entire functions represented by vector valued Dirichlet series in two complex variables, Gen. Math. Notes, 2, 1, 134-142 (2011) · Zbl 1222.30004
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