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Some Applications of the Theory of Polar‐Composite Polynomials
Author(s) -
Zaheer Neyamat,
Alam Mahfooz
Publication year - 1980
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s2-22.3.403
Subject(s) - polar , composite number , mathematics , variety (cybernetics) , orthogonal polynomials , discrete orthogonal polynomials , classical orthogonal polynomials , class (philosophy) , difference polynomials , pure mathematics , algebra over a field , computer science , algorithm , physics , statistics , artificial intelligence , quantum mechanics
The theory of polar‐composite polynomials was introduced and quite an extensive study of such polynomials was made by the authors in an earlier paper [7]. In the present paper we give further applications of this theory and obtain a number of results for a completely new variety of composite polynomials which are derived from certain polar‐composite polynomials through iteration. Some important results due to Marden, Obrechkoff and Weisner have also been deduced as consequences of our main theorem here.