New relation formula for generating functions
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In this paper, we develop a new relation between certain types of generating functions using formal algorithmic methods. As an application, we give a relation between the generating function and finite-type relations between polynomial sequences.
KeywordsGenerating function Finite-type relation Recurrence relation
Mathematics Subject Classification13P05 33C45 68W30 05A15 11B83
We are grateful to the anonymous referee for a careful reading of the text and essential remarks. The author would like to thank the Deanship of Scientific Research at Majmaah University for supporting this work under Project No. XXX
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