scholarly journals Some new asymptotic properties for the zeros of Jacobi, Laguerre, and Hermite polynomials

1995 ◽  
Vol 11 (2) ◽  
pp. 227-238 ◽  
Author(s):  
H. Dette ◽  
W. J. Studden
Keyword(s):  
Hermite Polynomials ◽  
Asymptotic Properties

The application of Hermite polynomials to risk allocation

2016 ◽  
Vol 18 (3) ◽  
pp. 77-110
Author(s):  
Francois Buet-Golfouse ◽  
Anthony Owen
Keyword(s):  
Hermite Polynomials ◽  
Risk Allocation

scholarly journals Some Properties Involving q-Hermite Polynomials Arising from Differential Equations and Location of Their Zeros

Mathematics ◽  
2021 ◽  
Vol 9 (11) ◽  
pp. 1168
Author(s):  
Cheon Seoung Ryoo ◽  
Jung Yoog Kang
Keyword(s):  
Differential Equations ◽  
Hermite Polynomials ◽  
Real Numbers ◽  
Different Types

Hermite polynomials are one of the Apell polynomials and various results were found by the researchers. Using Hermit polynomials combined with q-numbers, we derive different types of differential equations and study these equations. From these equations, we investigate some identities and properties of q-Hermite polynomials. We also find the position of the roots of these polynomials under certain conditions and their stacked structures. Furthermore, we locate the roots of various forms of q-Hermite polynomials according to the conditions of q-numbers, and look for values which have approximate roots that are real numbers.

Sign in / Sign up

Export Citation Format

Share Document