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On the growth and approximation of entire functions represented by Laplace–Stieltjes’ transformation

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Abstract

In the present paper, we obtain the characterization of various growth parameters of an entire function F(s) represented by Laplace–Stieltjes transformation in terms of the rate of decrease of \(E_n ( {F,\beta } ),\)where \(E_n ( {F,\beta } )\) represents the error in approximating the function F(s) by exponential polynomials.

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The authors are very much thankful to the referee for his valuable comments which helped in improving the paper.

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Correspondence to G. S. Srivastava.

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Singhal, C., Srivastava, G.S. On the growth and approximation of entire functions represented by Laplace–Stieltjes’ transformation. Ann Univ Ferrara 63, 365–376 (2017). https://doi.org/10.1007/s11565-017-0272-4

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  • DOI: https://doi.org/10.1007/s11565-017-0272-4

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