on bloch-type functions with hadamard gaps

We give some sufficient and necessary conditions for an analytic function f on the unit ball B with Hadamard gaps, that is, for f(z)=∑k=1∞Pnk(z) (the homogeneous polynomial expansion of f) satisfying nk+1/nk≥λ>1 for all k∈ℕ, to belong to the space ℬpα(B)={f|sup0

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Authors	;Stevo Stevic
Journal	science and technology of advanced materials
Year	2007
DOI	10.1155/2007/39176
URL	http://dx.doi.org/10.1155/2007/39176 https://doi.org/10.1155/2007/39176
Keywords	mathematics