Strong Versions of the Theorems of Weierstrass, Montel and Hurwitz
نویسندگان
چکیده
In classical complex analysis, the theorems of Weierstrass, Montel and Hurwitz are of great use in very many contexts. The main goal of the present paper is to relax their strong hypotheses via the concept of A-statistical convergence, where A is a nonnegative regular summability matrix. The A-statistical convergence method is defined in the following way. Let A := [ajn] (j, n ∈ N := {1, 2, 3, ...}) be an infinite summability matrix. For a given (complex) sequence x := {xn}, the Atransform of x, denoted by Ax := {(Ax)j}, is given by
منابع مشابه
Complex Analysis
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