Abstract
In this paper, a concise method to express by induction the so-called extended connection coefficients between two orthogonal polynomial sequences in a general sense is highlighted. Some illustrative examples arising from the semi-classical case are studied.
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Acknowledgements
The author is very grateful to the referee for the constructive and valuable comments and recommendations and for making us pay attention to a certain references.
Disclosure statement
No potential conflict of interest was reported by the author.