On a class of sine-type functions

DOI10.1134/S0001434608050313zbMath1170.33002MaRDI QIDQ2518049

A. A. Yukhimenko

Publication date: 12 January 2009

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Riesz basishypergeometric functionconcave functionregularly varying functionsine-type function

Mathematics Subject Classification ID

Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15) Special classes of entire functions of one complex variable and growth estimates (30D15) Asymptotic representations in the complex plane (30E15)

Related Items (6)

Distribution of roots of Mittag-Leffler functions ⋮ On properties of zero sets of divisors in weighted spaces of entire functions ⋮ Perturbations of an integer sequence as zero sets of divisors in some spaces of entire functions ⋮ Functions in the Schwartz algebra that are invertible in the sense of Ehrenpreis ⋮ On shifts of the sequence of integers generating functions that are invertible in the sense of Ehrenpreis ⋮ Uniform and non-uniform sampling of bandlimited functions at minimal density with a few additional samples

Cites Work

• Unnamed Item
• Asymptotics of the zeros of degenerate hypergeometric functions
• Analytic Fourier Transforms and Exponential Approximations. II
• Regularly varying functions

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