PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.) Vol. 64(78), pp. 5368 (1998) 

ORTHOGONAL POLYNOMIALS ON THE RADIAL RAYS AND AN ELECTROSTATIC INTERPRETATION OF ZEROSGradimir Milovanovi\'cKatedra za matematiku, Elektronski fakultet 18000 Ni\v s, YugoslaviaAbstract: 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 (MSC2000): 33C45, 78A30 Full text of the article:
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