An abstract sum formula and its applications to special functions

DOI10.1016/0022-247X(92)90250-HzbMath0772.47006MaRDI QIDQ1197450

Asao Arai

Publication date: 16 January 1993

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

orthogonal polynomialsSchrödinger operatorsum rulesBessel functionscomplete orthonormal systemsum formulanormalized eigenvectorsoperator of Sturm-Liouville typesymmetric operator in a Hilbert space

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Hypergeometric functions (33Cxx)

Related Items (2)

Upper bounds on the degeneracy of the ground state in quantum field models ⋮ Essential spectrum of a self-adjoint operator on an abstract Hilbert space of Fock type and applications to quantum field Hamiltonians

Cites Work

• Correlation Energy of a Free Electron Gas
• The Scattering of Neutrons by Systems of Heavy Nuclei
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