This paper focuses on the operator-theoretic properties (boundedness and compactness) of Hankel operators Fock-Sobolev spaces Fp,m in terms symbols BMO pr VMO spaces, respectively, for a non-negative integers m, 1 ? p < r > 0. Along way, we also study Berezin transform Fp,m. 2020 Mathematics Subject Classification. Primary 47B35; Secondary 30H20, 30H35. Keywords. operators, transform, spa...

We present a systematic approach to the computation of exact nonreflecting boundary conditions for the wave equation. In both two and three dimensions, the critical step in our analysis involves convolution with the inverse Laplace transform of the logarithmic derivative of a Hankel function. The main technical result in this paper is that the logarithmic derivative of the Hankel function H (1)...

In this study, we present the Catalan transforms of k-Pell sequence, k-Pell–Lucas sequence and Modified examine properties sequences. Then apply Hankel transform to sequence. Also, obtain generating functions Furthermore, acquire an interesting characteristic related determinant

A fast and numerically stable algorithm is described for computing the discrete Hankel transform of order 0 as well as evaluating Schlömilch and Fourier–Bessel expansions in O(N(logN)2/ loglogN) operations. The algorithm is based on an asymptotic expansion for Bessel functions of large arguments, the fast Fourier transform, and the Neumann addition formula. All the algorithmic parameters are se...