Geodesic
Orthogonal Polynomials on the Radial Rays and an Electrostatic Interpretation of Zeros
Publications de l'Institut Mathématique, _N_S_64 (1998) no. 78, p. 53 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

For polynomials orthogonal on the radial rays in the complex plane, which were introduced in [12], we give first a short account, and then we develop two interesting classes of orthogonal polynomials: (1) the generalized Hermite polynomials; (2) the generalized Gegenbauer polynomials. For such polynomials we obtain the corresponding linear differential equations of the second order. Assuming a logarithmic potential, we give an electrostatic interpretation of the zeros of the generalized Gegenbauer polynomials.
Classification : 33C45 78A30 
@article{PIM_1998_N_S_64_78_a5,
     author = {Gradimir V. Milovanovi\'c},
     title = {Orthogonal {Polynomials} on the {Radial} {Rays} and an {Electrostatic} {Interpretation} of {Zeros}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {53 },
     publisher = {mathdoc},
     volume = {_N_S_64},
     number = {78},
     year = {1998},
     zbl = {0973.33003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1998_N_S_64_78_a5/}
}
TY  - JOUR
AU  - Gradimir V. Milovanović
TI  - Orthogonal Polynomials on the Radial Rays and an Electrostatic Interpretation of Zeros
JO  - Publications de l'Institut Mathématique
PY  - 1998
SP  - 53 
VL  - _N_S_64
IS  - 78
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/PIM_1998_N_S_64_78_a5/
LA  - en
ID  - PIM_1998_N_S_64_78_a5
ER  - 
%0 Journal Article
%A Gradimir V. Milovanović
%T Orthogonal Polynomials on the Radial Rays and an Electrostatic Interpretation of Zeros
%J Publications de l'Institut Mathématique
%D 1998
%P 53 
%V _N_S_64
%N 78
%I mathdoc
%U http://geodesic.mathdoc.fr/item/PIM_1998_N_S_64_78_a5/
%G en
%F PIM_1998_N_S_64_78_a5
Gradimir V. Milovanović. Orthogonal Polynomials on the Radial Rays and an Electrostatic Interpretation of Zeros. Publications de l'Institut Mathématique, _N_S_64 (1998) no. 78, p. 53 . http://geodesic.mathdoc.fr/item/PIM_1998_N_S_64_78_a5/