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
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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 
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     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 },
     year = {1998},
     volume = {_N_S_64},
     number = {78},
     zbl = {0973.33003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1998_N_S_64_78_a5/}
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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/