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arXiv · 1512.08163

On a class of transformations of sequences of complex numbers

Ilia D. Mishev
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Abstract

In this paper we consider a transformation $L_a$ of sequences of complex numbers. We find the inverse transformation of $L_a$ as well as the inverse of a related transformation $\tilde{L}_a$. We explore a connection to the binomial transform and significantly generalize a previously known result. We also obtain new relations among many classical hypergeometric orthogonal polynomials as well as new formulas for sums involving terminating hypergeometric series.

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Ilia D. Mishev. 2015-12-27. On a class of transformations of sequences of complex numbers. https://arxiv.org/abs/1512.08163

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