The principal inverse of the gamma function

DOI10.1090/S0002-9939-2011-11023-2zbMath1245.33005OpenAlexW2160341638MaRDI QIDQ5389393

Mitsuru Uchiyama

Publication date: 26 April 2012

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2011-11023-2

zbMATH Keywords

Euler gamma functionPick functionLoewner kernel function

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Gamma, beta and polygamma functions (33B15) Monotonic functions, generalizations (26A48)

Related Items (7)

Integral form of Le Roy-type hypergeometric function ⋮ Experimental investigation of fractional order behavior in an oscillating disk ⋮ Extension of inverses of entire functions of genus 1 and 2 to the upper half plane ⋮ Operator inequalities: from a general theorem to concrete inequalities ⋮ Positive linear maps on \(C^\ast\)-algebras and rigid functions ⋮ Inverses of Operator Convex Functions ⋮ Inverses of gamma functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some classes of completely monotonic functions. II
• Loewner matrices and operator convexity
• Pick functions related to the gamma function.
• Über monotone Matrixfunktionen
• Schlicht mappings and infinitely devisible kernels
• On powers of Stieltjes moment sequences, I
• Operator monotone functions, positive definite kernels and majorization
• On Analytic Continuation to a Schlicht Function

This page was built for publication: The principal inverse of the gamma function