On the order of indeterminate moment problems

DOI10.1016/j.aim.2013.09.020zbMath1287.44001arXiv1310.0247OpenAlexW2171647679MaRDI QIDQ2445376

Christian Berg, Ryszard Szwarc

Publication date: 14 April 2014

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.0247

zbMATH Keywords

summabilitythree term recurrence relationindeterminate moment problemorder and type of entire functionlogarithmic order and type

Mathematics Subject Classification ID

Moment problems and interpolation problems in the complex plane (30E05) Moment problems (44A60) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (9)

Spectral properties of block Jacobi matrices ⋮ Inverse of infinite Hankel moment matrices ⋮ Bounds on order of indeterminate moment sequences ⋮ Polynomial birth-death processes and the second conjecture of Valent ⋮ A growth estimate for the monodromy matrix of a canonical system ⋮ Smallest and largest generalized eigenvalues of large moment matrices and some applications ⋮ Periodic perturbations of unbounded Jacobi matrices. I: Asymptotics of generalized eigenvectors. ⋮ Estimates for the order of Nevanlinna matrices and a Berezanskii-type theorem ⋮ Order problem for canonical systems and a conjecture of Valent

Cites Work

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• The Nevanlinna parametrization for some indeterminate Stieltjes moment problems associated with birth and death processes
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• Ramanujan's Extensions of the Gamma and Beta Functions
• The Nevanlinna Matrix of Entire Functions Associated with a Shifted Indeterminate Hamburger Moment Problem.
• q-Hermite Polynomials, Biorthogonal Rational Functions, and q-Beta Integrals
• On meromorphic functions with finite logarithmic order
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