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There is a generalized oscillator algebra associated with every class of orthogonal polynomials {Ψn(x)}n=0, on the real line, satisfying a three term recurrence relation xΨn(x) = bnΨn+1(x) +… (More)

Eigenfunctions and eigenvalues of the free magnetic Schrödinger operator , describing a spinless particle confined to an infinite layer of fixed width, are discussed in detail. The eigenfunctions are… (More)

In this note, following the theory of discrete frame perturbations in a complex Hilbert space, we examine perturbation of rank $n$ continuous frame, rank $n$ continuous Bessel family and rank $n$… (More)

Using the orthonormality of the 2D-Zernike polynomials, reproducing kernels, reproducing kernel Hilbert spaces, and ensuring coherent states attained. With the aid of the so-obtained coherent states,… (More)

The canonical coherent states were labeled by a single complex number z. In this article we present classes of coherent states labeled by some other choices, namely the iterates of a complex… (More)

We present a class of vector coherent states in the domain D × D × .... × D (n-copies), where D is the complex unit disc, using a specific class of hermitian matrices. Further, as an example, we… (More)