On one integral equation in the theory of transform operators

DOI10.1134/S096554252008014XzbMath1462.45020OpenAlexW3092262401MaRDI QIDQ2206377

Sergeĭ Mikhaĭlovich Sitnik

Publication date: 22 October 2020

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s096554252008014x

zbMATH Keywords

Gauss hypergeometric functionRiemann functionsingular potentialLegendre functiontransform operator

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Integral operators (45P05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Log-convexity and log-concavity of hypergeometric-like functions
• Method of propagating waves for a one-dimensional inhomogeneous medium
• Inequalities and monotonicity of ratios for generalized hypergeometric function
• Estimates of the Jost solution to a one-dimensional Schrödinger equation with a singular potential
• Transformation operators for Sturm--Liouville operators with singular potentials
• On a method for solving the inverse Sturm-Liouville problem
• Asymptotic approximations for the first incomplete elliptic integral near logarithmic singularity
• Series expansions for the third incomplete elliptic integral via partial fraction decompositions
• A representation for solutions of the Sturm–Liouville equation
• On a method for solving the inverse scattering problem on the line
• Spectral parameter power series for Sturm–Liouville problems

This page was built for publication: On one integral equation in the theory of transform operators