- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 17
- On The Generalized Tricomi's Equation
On The Generalized Tricomi's Equation
Authors : A. Okay Çelebi
Pages : 0-0
Doi:10.1501/Commua1_0000000588
View : 6 | Download : 4
Publication Date : 1968-01-01
Article Type : Research
Abstract :The relation between the 2 - monogenic funetions and the Solutions of the elliptic partial differential equation 8^U dU dx^ is known [6] ; the ohject of this paper is to investigate the properties of the generalized TricomVs Equation (*) 8Xj and its Solutions which will be composed of three sections. called as S - harmonic fujıctions. Our study is İn section I we have investigated some properties of the Solutions of the + k + — y = o n + 8 U = Q equation (*). In section II the well - known Lord Kelvin’s theorem and Almansi’s expan- sion theorem have been established for S-harmonic and S-polyharmonic funetions. In section III we have proved Brill’s theorem for S - polyharmonic funetions which was previously given for the harmonic funetions.Keywords : Generalized, Tricomi's Equation, Mathematics