 2084 Frederick Ira Moxley III
 $q^{1}$Orthogonal Solutions of $q^{1}$Periodic Equations
(378K, .pdf)
Sep 19, 20

Abstract ,
Paper (src),
View paper
(auto. generated pdf),
Index
of related papers

Abstract. The quantum calculus, otherwise known as the $q$calculus, has been found to have a wide variety of interesting applications in computational number theory, and the theory of orthogonal polynomials, for example. As such, herein we investigate a class of entire functions that are $q^{1}$orthogonal with respect to their own zeros, and find that in this equivalence class, the only $q^{1}$periodic functions are nonzero constantvalued functions. It is well understood by the Fundamental Theorem of Algebra, that a nonzero constant function has no roots. Accordingly, this study aims to develop a novel approach to the field of $q^{1}$orthogonal polynomials, and the distribution of their zeros.
 Files:
2084.src(
2084.keywords ,
Moxley_AMS.pdf.mm )