On a new class of special functions generated by integral-difference operators

DOI10.1016/j.cam.2017.05.036zbMath1472.33010OpenAlexW2622353222MaRDI QIDQ2402391

Yu. B. Mel'nikov, I. V. Turuntaeva

Publication date: 7 September 2017

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2017.05.036

zbMATH Keywords

special functionsfunctional relationsintegral-difference operatorsdecomposition in series

Mathematics Subject Classification ID

Other hypergeometric functions and integrals in several variables (33C70)

Related Items (3)

A class of integral-difference operators in a plane: Spectral analysis and application to thin films relaxation in an attractive field ⋮ Modern results in the spectral analysis for a class of integral-difference operators and application to physical processes ⋮ Hypergeometric representations and differential-difference relations for some kernels appearing in mathematical physics

Uses Software

• DLMF

Cites Work

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• On spectral analysis of an integral-difference operator
• On new relations between spectral properties of Jacobi matrices and their coefficients
• Spectral analysis for a class of integral-difference operators: known facts, new results, and open problems
• On the concentration of the spectrum of integral-difference collision operator with Gaussian equilibrium distribution function in a vicinity of zero
• New spectral estimations for a class of integral-difference operators and generalisation to higher dimensions
• Infinite Jacobi Matrices with Unbounded Entries: Asymptotics of Eigenvalues and the Transformation Operator Approach
• Integral-difference collision operators: Analytical and numerical spectral analysis

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