Asymptotic Limit of Continuous Dual Hahn Polynomial
A.D. Alhaidari, E.O. Ifidon, T.J. Taiwo

TL;DR
This paper derives the asymptotic limit of the Continuous Dual Hahn Polynomial using the Darboux method, involving the construction and expansion of a comparison function related to its generating function.
Contribution
It introduces a novel application of the Darboux method to find the asymptotic behavior of Continuous Dual Hahn Polynomials.
Findings
Asymptotic limit derived for Continuous Dual Hahn Polynomial
Method involves constructing a comparison function from the generating function
Provides a simplified approach to asymptotic analysis
Abstract
Using Darboux method, we obtain an asymptotic limit for Continuous Dual Hahn Polynomial.The basic concept is to construct a comparison function which is the singular part of the generating function; then expand the comparison function. With little simplification and modification,the asymptotic limit is achieved.
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Taxonomy
TopicsChemical Thermodynamics and Molecular Structure · Fractional Differential Equations Solutions · Quantum Mechanics and Non-Hermitian Physics
