scholarly journals Zhang-Zagier heights of perturbed polynomials

2001 ◽  
Vol 13 (1) ◽  
pp. 103-110
Author(s):  
Christophe Doche
Keyword(s):  
Perturbed Polynomials

Stability of perturbed polynomials based on the argument principle and Nyquist criterion

1989 ◽  
Vol 50 (1) ◽  
pp. 55-63 ◽  
Author(s):  
S. H. LIN ◽  
I. K. FONG ◽  
Y. T. JUANG ◽  
T. S. KUO ◽  
C. F. HSU
Keyword(s):  
Argument Principle ◽  
Nyquist Criterion ◽  
Perturbed Polynomials

scholarly journals On Certain Properties and Applications of the Perturbed Meixner–Pollaczek Weight

Mathematics ◽  
2021 ◽  
Vol 9 (9) ◽  
pp. 955
Author(s):  
Abey S. Kelil ◽  
Alta S. Jooste ◽  
Appanah R. Appadu
Keyword(s):  
Integral Representation ◽  
Weight Function ◽  
Orthogonal Polynomials ◽  
Finite Order ◽  
Recurrence Relations ◽  
Pollaczek Polynomials ◽  
Perturbed Polynomials ◽  
Recursive Relations ◽  
Fisher's Information

This paper deals with monic orthogonal polynomials orthogonal with a perturbation of classical Meixner–Pollaczek measure. These polynomials, called Perturbed Meixner–Pollaczek polynomials, are described by their weight function emanating from an exponential deformation of the classical Meixner–Pollaczek measure. In this contribution, we investigate certain properties such as moments of finite order, some new recursive relations, concise formulations, differential-recurrence relations, integral representation and some properties of the zeros (quasi-orthogonality, monotonicity and convexity of the extreme zeros) of the corresponding perturbed polynomials. Some auxiliary results for Meixner–Pollaczek polynomials are revisited. Some applications such as Fisher’s information, Toda-type relations associated with these polynomials, Gauss–Meixner–Pollaczek quadrature as well as their role in quantum oscillators are also reproduced.

Perturbed polynomials with zeros in the left-sector

1989 ◽  
Vol 12 (5) ◽  
pp. 415-419 ◽  
Author(s):  
Y.C. Soh ◽  
Y.K. Foo ◽  
C.B. Soh
Keyword(s):  
Perturbed Polynomials

Palindromic and perturbed polynomials: zeros location

2013 ◽  
Vol 143 (1) ◽  
pp. 81-87 ◽  
Author(s):  
Vanessa Botta ◽  
Larissa Ferreira Marques ◽  
Messias Meneguette
Keyword(s):  
Perturbed Polynomials
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