Homogeneous solutions for a class of singular partial differential equations

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:45
Homogeneous solutions for a class of singular partial differential equations

Homogeneous solutions for a class of singular partial differential equations

Authors : Abdullah ALTIN

Pages : 0-0

Doi:10.1501/Commua1_0000000449

View : 14 | Download : 8

Publication Date : 1996-01-01

Article Type : Research Paper

Abstract :We recall that a spherical harmonic is a hotnegeneous function of x, y, z of certain degree n which satisfies Laplacc equation. Thus, if Vinsert ignore into journalissuearticles values(x,y,z.); is such a function of degree K, then xVx+yVy+zV2 = 7vN{\,y,7,);, and = ~ important result in the theory of harmonic functions is that any harmonic function can be expressed in a series involving the spherical harmonics.
Keywords : Homogeneous, class, partial differential equations

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