Extension of inverses of entire functions of genus 1 and 2 to the upper half plane

DOI10.1007/s40315-013-0020-4zbMath1291.30173OpenAlexW1984990681MaRDI QIDQ380722

Henrik Laurberg Pedersen

Publication date: 14 November 2013

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40315-013-0020-4

zbMATH Keywords

integral representationentire functioninversedouble gamma functionpositive definite kernelPick-function

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Gamma, beta and polygamma functions (33B15) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items

Inverses of Operator Convex Functions ⋮ Inverses of gamma functions

Cites Work

• The fast track to Löwner's theorem
• Extremal values of multiple gamma and sine functions
• Matrix Analysis
• The principal inverse of the gamma function
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