Inequality for entire functions involving their maximum modulus and maximum term
نویسندگان
چکیده
منابع مشابه
Maximum Modulus, Maximum Term and Interpolation Error of an Entire Function
Let f be analytic on the compact set E ⊂ C , of positive transfinite diameter and let Cr denote the largest equipotential curve of E such that f is analytic within Cr. Generally, the growth of an entire function is measured in terms of its order and type. Here we have established the relations between maximum modulus, maximum term and interpolation error of best uniform approximation to a funct...
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In the present paper, we study the growth properties of entire functions of several complex variables. The characterizations of lower order of entire functions of several complex variables have been obtained in terms of their Taylor’s series coefficients. Also we have obtained some inequalities between order, type, maximum term and central index of entire functions of several complex variables.
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ژورنال
عنوان ژورنال: Rendiconti Lincei - Matematica e Applicazioni
سال: 2012
ISSN: 1120-6330
DOI: 10.4171/rlm/627