Proximate order and type of entire functions of several complex variables
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We introduce the notion of proximate order for entire functions with indexpair (p,q), for integersp andq such that 1≤q≤p to study the type of entire functions of several complex variables. One of our main results is a generalization of a theorem due to Lelong-Gruman in their book  on Entire Functions of Several Complex Variables.
KeywordsEntire Function Complex Variable Homogeneous Polynomial Dirichlet Series Maximum Term
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- A. A. Goldberg,Elementary remarks on the formulas defining order and type of functions of several variables (Russian), Doklady Akademii Nauk Armyanskii SSR29 (1959), 145–151.Google Scholar
- B. Ja. Levi,Distribution of Zeros of entire functions, Translations of Mathematics Monographs,55. AMS, Providence, RI (1964) (published in Russian in 1956).Google Scholar
- G. Valiron,Lectures on the general theory of integral functions, Private, Toulouse (1922).Google Scholar