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Growth and approximation errors of entire series having index-pair (p,q)

Khan H H, Ali R

Fasciculi Mathematici

2012

Nr 49

61--73

In this paper we Studied the polynomial coefficients and approximation errors for functions of the form f (z) = Σ∞ k=1 qk(z)[y(z)]k-1 belong to Ls (B), the class of all functions holo- morphic on Caratheodory domain B. The lower (p, q)-order and generalized lower (p, q)-type with respect to proximate order have been characterized in terms of these polynomial coefficients and approximation errors.