The Newton polyhedron and positivity of \(_2F_3\) hypergeometric functions
DOI10.1007/S00365-021-09540-7zbMath1486.33006arXiv2102.04111OpenAlexW3142903773MaRDI QIDQ2243885
Yong-Kum Cho, Seok-Young Chung
Publication date: 11 November 2021
Published in: Constructive Approximation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.04111
Newton polyhedronBessel functionsfractional integralstransference principle\(_pF_q\) hypergeometric functionssums of squares method
Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Generalized hypergeometric series, ({}_pF_q) (33C20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Positive trigonometric integrals associated with some Lommel functions of the first kind
- Multiply monotone functions and their Laplace transforms
- Newton polyhedra and estimation of oscillating integrals
- Problems which interest and/or annoy me
- On the positivity and zeros of lommel functions: hyperbolic extension and interlacing
- On some new moments of Gamma type
- Rational extension of the Newton diagram for the positivity of \({}_1F_2\) hypergeometric functions and Askey-Szegö problem
- The special functions and their approximations. Vol. I, II
- Laplace transforms of multiply monotonic functions
- Expansion of Hypergeometric Functions in Series of Other Hypergeometric Functions
- Expansions of Hypergeometric Functions in Hypergeometric Functions
- On the Positivity of some ${}_1 F_2 $’s
- Positive Integrals of Bessel Functions
- Positive Jacobi Polynomial Sums, II
- Positive Sums of the Classical Orthogonal Polynomials
- Positivity of Integrals of Bessel Functions
- A new class of radial basis functions with compact support
- Newton diagram of positivity for 1F2 generalized hypergeometric functions
- An extension of positivity for integrals of Bessel functions and Buhmann’s radial basis functions
- On Positivity of Fourier Transforms
- On the Riesz Means of a Fourier Series (II)
This page was built for publication: The Newton polyhedron and positivity of \(_2F_3\) hypergeometric functions
