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In our a previous work we have dealt with the generating function construction for representing the general term of a sequence as a moment like integral where a generating function takes the role of a weight function. We have assumed therein that the each pair of sequence elements satisfy a first order homogeneous linear recursion with variant coefficients. Then we have tried to construct ODE (s)...
This work is an extension of very recently developed decomposition method for matrices. That method has been called "Tridiagonal Matrix Enhanced Multivariance Product Representation, or briefly, TMEMPR. Here, in this work our ultimate goal has been taken as the decomposition of a univariate linear integral operator. Instead of this task we focus on a bivariate function since the kernel of such...
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