ON THE LIMIT OF DISCRETE q-HERMITE I POLYNOMIALS
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Date
2019
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Publisher
Ankara Univ, Fac Sci
Open Access Color
GOLD
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No
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Abstract
The 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.
Description
Keywords
Hermite polynomials, Discrete q-Hermite I polynomials, Applied Mathematics, Uygulamalı Matematik, Discrete q-Hermite I polynomials;Hermite polynomials;Rodrigues formula, Rodrigues formula, Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), discrete \(q\)-Hermite I polynomials, Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.), \(q\)-difference equation of hypergeometric type
Turkish CoHE Thesis Center URL
Fields of Science
0103 physical sciences, 0101 mathematics, 01 natural sciences
Citation
WoS Q
Q3
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OpenCitations Citation Count
1
Source
Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
Volume
68
Issue
2
Start Page
2272
End Page
2282
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