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Article Citation - WoS: 2ON THE LIMIT OF DISCRETE q-HERMITE I POLYNOMIALS(Ankara Univ, Fac Sci, 2019) Alwhishi, Sakina; Adıgüzel, Rezan Sevinik; Turan, MehmetThe 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.
