Effectiveness of transposed inverse sets in faber regions | Zendy

Jerome Ajayi Adepoju | Zendy; M. Nassif | Zendy

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Effectiveness of transposed inverse sets in faber regions

Author(s) -

Jerome Ajayi Adepoju,

M. Nassif

Publication year - 1982

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/s0161171283000241

Subject(s) - mathematics , inverse , simple (philosophy) , set (abstract data type) , combinatorics , class (philosophy) , discrete mathematics , geometry , philosophy , epistemology , artificial intelligence , computer science , programming language

The effectiveness properties, in Faber regions, of the transposed inverseof a given basic set of polynominals, are investigated in the present paper. A certain inevitable normalizing substitution, is first formulated, to be undergone by the given set to ensure the existence of the transposed inverse in the Faber region. The first main result of the present work (Theorem 2.1), on the one hand, provides a lower bound of the class of functions for which the normalized transposed inverse set is effective in the Faber region. On the other hand, the second main result (Theorem 5.2) asserts the fact that the normalized transposed inverse set of a simple set of polynomials, which is effective in a Faber region, should not necessarily be effective there

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