A direct evaluation of an integral of Ismail and Valent
Alexey Kuznetsov
TL;DR
This paper provides a direct evaluation of a specific integral identity related to the Nevanlinna parametrization of solutions to an indeterminate moment problem, building on the work of Ismail and Valent.
Contribution
It offers a new direct evaluation method for a known integral identity associated with indeterminate moment problems, expanding the understanding of Nevanlinna parametrization.
Findings
Explicit integral evaluation derived from Ismail and Valent's framework
Enhanced understanding of Nevanlinna parametrization in moment problems
Potential applications to related integral identities
Abstract
We give a direct evaluation of a curious integral identity, which follows from the work of Ismail and Valent on the Nevanlinna parametrization of solutions to a certain indeterminate moment problem.
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Taxonomy
TopicsDifferential Equations and Numerical Methods · Differential Equations and Boundary Problems · Meromorphic and Entire Functions