Zeros of some special entire functions

DOI10.1090/proc/13927zbMath1391.30036arXiv1702.00626OpenAlexW2586569647MaRDI QIDQ4604696

Árpád Baricz, Sanjeev Singh

Publication date: 5 March 2018

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

Full work available at URL: https://arxiv.org/abs/1702.00626

zbMATH Keywords

Laguerre-Pólya classzeros of entire functionBessel functions, Wright functions, generalized hypergeometric functions

Mathematics Subject Classification ID

Generalized hypergeometric series, ({}_pF_q) (33C20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (11)

When does a hypergeometric function \(_pF_q\) belong to the Laguerre-Pólya class \(LP^+\)? ⋮ Hyperbolicity of Appell polynomials of functions in the \(\delta \)-Laguerre-Pólya class ⋮ Some properties of the free stable distributions ⋮ Radii of starlikeness and convexity of generalized \(k\)-Bessel functions ⋮ Radii of uniform convexity of some special functions ⋮ Radii of starlikeness and convexity of generalized Struve functions ⋮ On the entire functions from the Laguerre-Pólya I class having the increasing second quotients of Taylor coefficients ⋮ Radii of starlikeness and convexity of Wright functions ⋮ Radii of starlikeness and convexity of a product and cross-product of Bessel functions ⋮ Geometric and monotonic properties of hyper-Bessel functions ⋮ Radii problems for normalized \(q\) Bessel and Wright functions

Cites Work

• Unnamed Item
• Unnamed Item
• Multiplier sequences, classes of generalized Bessel functions and open problems
• Log-concavity and Turán-type inequalities for the generalized hypergeometric function
• Radii of starlikeness and convexity of a product and cross-product of Bessel functions
• Totally positive kernels, Pólya frequency functions, and generalized hypergeometric series
• Laguerre polynomials as Jensen polynomials of Laguerre-Pólya entire functions
• On the number of nonreal zeros of real entire functions and the Fourier-Pólya conjecture
• On the zeros of power series
• The Fox-Wright functions and Laguerre multiplier sequences
• Starlikeness of a cross-product of Bessel functions
• Zeros of Bessel function derivatives
• On the zeros of the hyper-Bessel function
• Zeros of Entire Functions
• On the complex zeros of the Bessel functions

This page was built for publication: Zeros of some special entire functions