On semiclassical orthogonal polynomials via polynomial mappings

DOI10.1016/j.jmaa.2017.06.072zbMath1370.33014OpenAlexW2733010464MaRDI QIDQ2014131

Kenier Castillo, J. Petronilho, M. N. De Jesus

Publication date: 10 August 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.06.072

zbMATH Keywords

orthogonal polynomialsintegral representationspolynomial mappingsmoment linear functionalsclassical and semiclassical orthogonal polynomials

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Other special orthogonal polynomials and functions (33C47)

Related Items (9)

\(H_q\)-semiclassical orthogonal polynomials via polynomial mappings ⋮ Other family of cubic decomposition of a semiclassical form of class one ⋮ On the characterizations of third-degree semiclassical forms via polynomial mappings ⋮ Characterization theorem for strict third-degree semiclassical forms of class one obtained via cubic decomposition ⋮ Unnamed Item ⋮ Third-degree semiclassical forms of class one arising from cubic decomposition ⋮ An electrostatic interpretation of the zeros of sieved ultraspherical polynomials ⋮ A note on orthogonal polynomials described by Chebyshev polynomials ⋮ Third-order self-associated orthogonal polynomial sequences

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Orthogonality properties of iterated polynomial mappings
• On orthogonal polynomials obtained via polynomial mappings
• Prolégomènes à l'étude des polynômes orthogonaux semi- classiques. (Preliminary remarks for the study of semi-classical orthogonal polynomials)
• Orthogonal polynomials, associated polynomials and functions of the second kind
• Orthogonal polynomials and cubic transformations
• On sieved orthogonal polynomials. X: General blocks of recurrence relations
• Eigenproblems for tridiagonal 2-Toeplitz matrices and quadratic polynomial mappings
• Explicit inverse of a tridiagonal \(k\)-Toeplitz matrix
• A family of singular semi-classical functionals
• Inverse images of polynomial mappings and polynomials orthogonal on them.
• The algebra of linear functionals on polynomials, with applications to Padé approximation
• A differential equation for orthogonal polynomials
• On the general cubic decomposition of polynomial sequences
• Sieved Ultraspherical Polynomials
• Orthogonal Polynomials on Several Intervals Via a Polynomial Mapping
• Sieved Orthogonal Polynomials. VII: Generalized Polynomial Mappings
• Cubic decomposition of a family of semiclassical polynomial sequences of class one
• On Cubic Transformations of Orthogonal Polynomials

This page was built for publication: On semiclassical orthogonal polynomials via polynomial mappings