A Sturm–Liouville Theory for Hahn Difference Operator

DOI10.1142/9789813228887_0004zbMath1415.39014OpenAlexW2784155762MaRDI QIDQ5377708

Samer D. Makharesh, Alaa E. Hamza, Mahmoud H. Annaby

Publication date: 27 May 2019

Published in: Frontiers in Orthogonal Polynomials and q-Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/9789813228887_0004

zbMATH Keywords

Green's function\(q\)-difference operatorSturm-Liouville theoryHahn difference operatoreigenfunctions expansion

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Discrete version of topics in analysis (39A12) Difference operators (39A70) Difference equations, scaling ((q)-differences) (39A13)

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Hahn-Hamiltonian systems ⋮ Spectral analysis of Hahn-Dirac system ⋮ On extensions of matrix-valued Hahn–Sturm–Liouville operators ⋮ Hahn Laplace transform and its applications ⋮ Hermite-Hadamard inequalities for quantum integrals: a unified approach ⋮ Unnamed Item ⋮ Singular Hahn - Hamiltonian systems ⋮ On a spectral theory of singular Hahn difference equation of a Sturm‐Liouville type problem with transmission conditions ⋮ On square integrable solutions of a Hahn-Dirac system ⋮ Some results on fractional Hahn difference boundary value problems ⋮ On q,ω -differential transform method ⋮ A completeness theorem for a Hahn-Fourier system and an associated classical sampling theorem ⋮ Aβ-Sturm–Liouville problem associated with the general quantum operator ⋮ Sampling theorems for Jackson-Nörlund transforms associated with Hahn-difference operators ⋮ Dirac system associated with Hahn difference operator ⋮ Spectral theory of singular Hahn difference equation of the Sturm-Liouville type ⋮ The spectral expansion for the Hahn–Dirac system on the whole line ⋮ On the spectrum of singular Hahn-Sturm-Liouville operators ⋮ INDICES DEFECT THEORY OF SINGULAR HAHN-STURM-LIOUVILLE OPERATORS

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