Algebraic equation and symmetric second degree forms of class two. Issue 9 (2nd September 2017)

• Record Type: Journal Article
• Authors: hadj ali, B. Ben; Mejri, M.
• Is Part Of: Integral transforms and special functions. Volume 28:Issue 9(2017)
• Page Start: 682
• Page End: 701
• Publication Date: 2017-09-02
• Subjects: Second degree forms -- semi-classical polynomials -- orthogonality measure; Primary: 33C45 -- Secondary: 42C05; Integral transforms -- Periodicals; Transcendental functions -- Periodicals; Transformations (Mathematics) -- Periodicals; Calculus, Integral -- Periodicals; 515
• DOI: 10.1080/10652469.2017.1345903
• Languages: English
• ISSNs: 1065-2469

Abstract

ABSTRACT: The present work deals with some properties of the form (linear functional) u satisfying the functional equation( x 2 − c 2 ) u = λ v, wherec ∈ C, λ ∈ C − { 0 } and v is a regular form. Moreover, a connection between some symmetric second degree forms of class two and the Chebyshev form of second kind is highlighted.