scientific article; zbMATH DE number 7365022

zbMath1464.44004MaRDI QIDQ4997811

Sergeĭ Mikhaĭlovich Sitnik

Publication date: 30 June 2021

Full work available at URL: http://mathnet.ru/eng/chfmj37

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

integral transformfractional integralErdelyi-Kober operatortransmutationBuschman-Erdelyi transmutationSonine-Poisson operator

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Integral operators (45P05) Integral operators (47G10)

Related Items (5)

Abstract Cauchy problem for the Bessel-Struve equation ⋮ On fractional powers of the Bessel operator on semiaxis ⋮ Inversion of Hyperbolic B-Potentials ⋮ One-Dimensional and Multi-Dimensional Integral Transforms of Buschman–Erdélyi Type with Legendre Functions in Kernels ⋮ Transmutation Operators as a Solvability Concept of Abstract Singular Equations

Cites Work

• Solution of a multidimensional integral equation of the first kind with the Legendre function in the kernel over a pyramidal domain
• Log-convexity and log-concavity of hypergeometric-like functions
• Inequalities and monotonicity of ratios for generalized hypergeometric function
• Estimates of the Jost solution to a one-dimensional Schrödinger equation with a singular potential
• Buschman-Erdelyi transmutations, classification and applications
• Applied Pseudoanalytic Function Theory
• Integral transforms with the Legendre function of the first kind in the kernels on -spaces
• ON A SINGULAR BOUNDARY VALUE PROBLEM FOR THE POISSON EQUATION
• SPHERICAL HARMONICS ASSOCIATED TO THE LAPLACE–BESSEL OPERATOR AND GENERALIZED SPHERICAL CONVOLUTIONS
• Finite-dimensional perturbations of Volterra operators
• Uniform asymptotic expansions at a caustic
• Some integral equations involving finite parts of divergent integrals
• An Integral Equation Involving Legendre Functions
• An Inversion Integral for a General Legendre Transformation
• An Inversion Integral for a Legendre Transformation
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