Newton diagram of positivity for 1F2 generalized hypergeometric functions

DOI10.1080/10652469.2018.1464567zbMath1391.33017arXiv1801.02312OpenAlexW2963620370MaRDI QIDQ4567908

Hera Yun, Yong-Kum Cho

Publication date: 20 June 2018

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

Full work available at URL: https://arxiv.org/abs/1801.02312

zbMATH Keywords

positivitygeneralized hypergeometric functionBessel functionfractional integralNewton diagram

Mathematics Subject Classification ID

Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items (8)

On q-analogs of Struve functions ⋮ On the positivity and zeros of lommel functions: hyperbolic extension and interlacing ⋮ When does a hypergeometric function \(_pF_q\) belong to the Laguerre-Pólya class \(LP^+\)? ⋮ On some new moments of Gamma type ⋮ An extension of positivity for integrals of Bessel functions and Buhmann’s radial basis functions ⋮ The Newton polyhedron and positivity of \(_2F_3\) hypergeometric functions ⋮ Rational extension of the Newton diagram for the positivity of \({}_1F_2\) hypergeometric functions and Askey-Szegö problem ⋮ An extension of the multiple Erdélyi-Kober operator and representations of the generalized hypergeometric functions

Cites Work

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• Problems which interest and/or annoy me
• The special functions and their approximations. Vol. I, II
• On the Positivity of some ${}_1 F_2 $’s
• Positive Integrals of Bessel Functions
• Positive Sums of the Classical Orthogonal Polynomials
• The Sign of Lommel's Function
• Some Absolutely Monotonic and Completely Monotonic Functions
• A Monotonic Property of Bessel Functions
• On a monotonic property of certain Sturm-Liouville functions

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