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Orthogonal polynomials in two variables as solutions of higher order partial differential equations

✍ Scribed by Lidia Fernández; Teresa E. Pérez; Miguel A. Piñar

Book ID
108159093
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
229 KB
Volume
163
Category
Article
ISSN
0021-9045

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Let the region S={(x, y)I,u(x+iy, x-iy) >0) be the interior of Steiner's hypocycloid, where µ(z, z)=-z 222 +4z 3 +423-l8z2+27 . For each real a>-5/6 an orthogonal system of polynomials p.. n(z, z), m, n>0, can be defined on this region S such that pm,n (z, z)-zmzn has degree less than m+n and ff pr,