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Relative order and relative type based growth properties of iterated $p$ adic entire functions

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Let us suppose that $\mathbb{K}$\ be a complete ultrametric algebraically closed field and $\mathcal{A}\left( \mathbb{K}\right) $\ be the $\mathbb{K}$-algebra of entire functions on $\mathbb{K}$. The main aim of this paper is to study some newly developed results related to the growth rates of iterated p-adic entire functions on the basis of their relative orders, relative type and relative weak type.

Abstract

Let us suppose that $\mathbb{K}$\ be a complete ultrametric algebraically closed field and $\mathcal{A}\left( \mathbb{K}\right) $\ be the $\mathbb{K}$-algebra of entire functions on $\mathbb{K}$. The main aim of this paper is to study some newly developed results related to the growth rates of iterated p-adic entire functions on the basis of their relative orders, relative type and relative weak type.

참고문헌 (21)

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  10. Tanmay Biswas, "Some growth aspects of composite p-adic entire functions in the light of their (p,q)-th relative order and (p,q))-th relative type", 충청수학회지, 31(4), pp.429~460 (2018), 충청수학회[DOI]
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