On New Polynomial Sequences Constructed to Each Vertex in an n‐Gon

In this work, we bring to light the properties of newly formed polynomial sequences at each vertex of Pell polynomial sequences placed clockwise at each vertex in the n‐gon. We compute the relation among the polynomials with such vertices. Moreover, in an n‐gon, we generate a recurrence relation for a sequence giving the m th term formed at the k th. Similar to the situations we are talking about, we applied to Pell‐Lucas polynomials, Jacobsthal polynomials, and Jacobsthal‐Lucas polynomials and have obtained new relations recurrence.