Orthogonalizing q-Bernoulli polynomials

In this study, we utilize the Gram-Schmidt orthogonalization method to construct a new set of orthogonal polynomials called OBn(x,q){{\rm{OB}}}_{n}(x,q) from the q-Bernoulli polynomials. We demonstrate the relationship between polynomials OBn(x,q){{\rm{OB}}}_{n}(x,q) and the little q-Legendre polyno...

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Bibliographic Details
Main Authors: Kuş Semra, Tuglu Naim
Format: Article
Language:English
Published: De Gruyter 2025-06-01
Series:Demonstratio Mathematica
Subjects:
Online Access:https://doi.org/10.1515/dema-2025-0133
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