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Let $G$ be a topological commutative semigroup with unit. We prove that a continuous function $fcolon Gto cc$ is a generalized exponential polynomial if and only if there is an $nge 2$ such that $f(x_1 +ldots +x_n )$ is decomposable; that is, if $f(x_1 +ldots +x_n )=sumik u_i cd v_i$, where the function $u_i$ only depends on the variables belonging to a set $emp e E_i subsetneq { x_1 stb x_n }$, and $v_i$ only depends on the variables belonging to ${ x_1 stb x_n } se E_i$ $(i=1stb k)$.
Starting from the moment sequences of classical orthogonal polynomials we derive the orthogonality purely algebraically. We consider also the moments of ($q=1$) classical orthogonal polynomials, and study those cases in which the exponential generati
We present a characterization of one-component inner functions in terms of the location of their zeros and their associated singular measure. As consequence we answer several questions posed by J. Cima and R. Mortini. In particular we prove that for
The Cholesky factorization of the moment matrix is applied to discrete orthogonal polynomials on the homogeneous lattice. In particular, semiclassical discrete orthogonal polynomials, which are built in terms of a discrete Pearson equation, are studi
This paper deals with the solution of unified fractional reaction-diffusion systems. The results are obtained in compact and elegant forms in terms of Mittag-Leffler functions and generalized Mittag-Leffler functions, which are suitable for numerical
Orbit functions of a simple Lie group/Lie algebra L consist of exponential functions summed up over the Weyl group of L. They are labeled by the highest weights of irreducible finite dimensional representations of L. They are of three types: C-, S- a