On the zeros of the hyper-Bessel function

DOI10.1080/10652469.2014.973191zbMath1314.42026OpenAlexW2017180379MaRDI QIDQ5498531

Hamza Chaggara, Neila Ben Romdhane

Publication date: 9 February 2015

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2014.973191

zbMATH Keywords

Jensen polynomialshyper-Bessel function\(d\)-orthogonal Laguerre polynomialsLaguerre -Pólya class

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items

\((p,q)\)-extended Bessel and modified Bessel functions of the first kind, APPLICATION OF q-SHEHU TRANSFORM ON q-FRACTIONAL KINETIC EQUATION INVOLVING THE GENERALIZED HYPER-BESSEL FUNCTION, On co-polynomials and \(d\)-orthogonality, Zeros of some special entire functions, CONVEXITY OF INTEGRAL OPERATORS GENERATED BY SOME NEW INEQUALITIES OF HYPER-BESSEL FUNCTIONS, Multi-parameter Mathieu, and alternating Mathieu series, Partial sums of hyper-Bessel function with applications, Some formulas for ordinary and hyper Bessel-Clifford functions related to the proper Lorentz group, Geometric and monotonic properties of hyper-Bessel functions, Geometric properties of certain classes of analytic functions associated with a \(q\)-integral operator

Cites Work

• Vector orthogonal relations. Vector QD-algorithm
• Jensen polynomials and the Turán and Laguerre inequalities
• On the zeros of \(d\)-symmetric \(d\)-orthogonal polynomials
• Laguerre polynomials as Jensen polynomials of Laguerre-Pólya entire functions
• The zeros of Faber polynomials for an \(m\)-cusped hypocycloid
• L'orthogonalité et les récurrences de polynômes d'ordre supérieur à deux
• Conjectures and theorems in the theory of entire functions