Alwhishi, SakinaAdıgüzel, Rezan SevinikTuran, MehmetMathematics2024-07-052024-07-05201901303-59912618-647010.31801/cfsuasmas.529703https://doi.org/10.31801/cfsuasmas.529703https://search.trdizin.gov.tr/tr/yayin/detay/379425/on-the-limit-of-discrete-q-hermite-i-polynomialsThe main purpose of this paper is to introduce the limit relationsbetween the discrete q-Hermite I and Hermite polynomials such that the orthogonality property and the three-terms recurrence relations remain valid.The discrete q-Hermite I polynomials are the q-analogues of the Hermite polynomials which form an important class of the classical orthogonal polynomials.The q-di§erence equation of hypergeometric type, Rodrigues formula and generating function are also considered in the limiting case.eninfo:eu-repo/semantics/openAccessArticleN/A68222722282WOS:000488869500086379425