Gain equalizer approximation by using q-Bessel polynomials

2014 ◽  
Author(s):  
Vanvisa Chutchavong ◽  
Kanok Janchitrapongvej
Keyword(s):  
Bessel Polynomials

scholarly journals INCOMPLETE BESSEL POLYNOMIALS: A NEW CLASS OF SPECIAL POLYNOMIALS FOR ELECTROMAGNETICS

2015 ◽  
Vol 41 ◽  
pp. 85-93 ◽  
Author(s):  
Diego Caratelli ◽  
Galina Babur ◽  
Alexander A. Shibelgut ◽  
Oleg Stukach
Keyword(s):  
Bessel Polynomials ◽  
New Class ◽  
Special Polynomials

Remarks on the Zeros of Bessel Polynomials

1976 ◽  
Vol 83 (2) ◽  
pp. 122-126 ◽  
Author(s):  
A. Wragg ◽  
C. Underhill
Keyword(s):  
Bessel Polynomials

scholarly journals Approximate Closed-Form Formulas for the Zeros of the Bessel Polynomials

2012 ◽  
Vol 2012 ◽  
pp. 1-10
Author(s):  
Rafael G. Campos ◽  
Marisol L. Calderón
Keyword(s):  
Closed Form ◽  
Complex Plane ◽  
Complex Number ◽  
Bessel Polynomials ◽  
The Real ◽  
Bessel Polynomial ◽  
Limit Points ◽  
Electrostatic Interpretation ◽  
Approximate Expressions

We find approximate expressionsx̃(k,n,a)andỹ(k,n,a)for the real and imaginary parts of thekth zerozk=xk+iykof the Bessel polynomialyn(x;a). To obtain these closed-form formulas we use the fact that the points of well-defined curves in the complex plane are limit points of the zeros of the normalized Bessel polynomials. Thus, these zeros are first computed numerically through an implementation of the electrostatic interpretation formulas and then, a fit to the real and imaginary parts as functions ofk,nandais obtained. It is shown that the resulting complex numberx̃(k,n,a)+iỹ(k,n,a)isO(1/n2)-convergent tozkfor fixedk.

Some functions related to the Bessel polynomials

1959 ◽  
Vol 26 (3) ◽  
pp. 519-539 ◽  
Author(s):  
Waleed A. Al-Salam
Keyword(s):  
Bessel Polynomials
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