Biorthogonal exponential sequences with weight function $\exp(ax^2+ibx)$ on the real line and an orthogonal sequence of trigonometric functions

DOI10.1090/S0002-9939-07-09139-3zbMath1128.05053MaRDI QIDQ5431645

Mohammad Masjed-Jamei

Publication date: 20 December 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Fourier transformParseval identityStieltjes-Wigert polynomialsnormal and log-normal distributions

Mathematics Subject Classification ID

Related Items (7)

Two classes of special functions using Fourier transforms of generalized ultraspherical and generalized Hermite polynomials ⋮ A generalization of Fourier trigonometric series ⋮ Symbolic computation of some power-trigonometric series ⋮ An extension of Pochhammer’s symbol and its application to hypergeometric functions, II ⋮ A symmetric sequence of trigonometric orthogonal functions ⋮ Incomplete symmetric orthogonal polynomials of finite type generated by a generalized Sturm–Liouville theorem ⋮ An extension of Pochhammer’s symbol and its application to hypergeometric functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The moment problem associated with the Stieltjes-Wigert polynomials
• Self-adjoint difference operators and classical solutions to the Stieltjes--Wigert moment problem
• Meixner–Pollaczek polynomials and the Heisenberg algebra
• q-Hermite Polynomials, Biorthogonal Rational Functions, and q-Beta Integrals
• Three Finite Classes of Hypergeometric Orthogonal Polynomials and Their Application in Functions Approximation
• Classical orthogonal polynomials with weight function ((ax + b)² + (cx + d)²)^−pexp(qArctg((ax + b)/(cx + d))),x ∈ (−∞, ∞) and a generalization of T and F distributions
• On Jacobi and continuous Hahn polynomials
• Two classes of special functions using Fourier transforms of some finite classes of classical orthogonal polynomials
• A moment problem and a family of integral evaluations

This page was built for publication: Biorthogonal exponential sequences with weight function $\exp(ax^2+ibx)$ on the real line and an orthogonal sequence of trigonometric functions