Series expansions of solutions of plane elliptic partial differential equations in domains of arbitrary shape

References

• ApeVtsin , V.F. 1981 . Soviet Phys. Dokl , 26 : 831 – 833 .
   Google Scholar
• Askey , R. 1975 . Orthogonal polynomials and special functions . Regional Conference Series in Applied Mathematics , 26
   Google Scholar
• Athanassoulis , G.A. 1984 . J. Engrg. Math , 18 : 181 – 194 .
   Google Scholar
• Athanassoulis , G.A. 1987 . Quart. Appl. Math , 44 : 601 – 620 .
   Google Scholar
• Athanassoulis , G.A. and Kossioris , G.T. 1987 . Geometry-dependent mul-tipoles for plane elliptic partial differential equations , Athens : National Technical University of Athens, Dept. of Naval Arch, and Marine Engineering .
   Google Scholar
• Bergman , S. 1971 . Integral operators in the theory of linear partial differential equations , Berlin : Springer-Verlag .
   Google Scholar
• Bischoff , G. 1976 . Beitrage Anal , 12 : 29 – 45 .
   Google Scholar
• Colton , D.L. 1982 . SIAM J. Math. Anal , 13 : 970 – 977 .
   Google Scholar
• Courant , R. and Hilbert , D. 1953 . Methods of Mathematical Physics , New York : In-terscience .
   Google Scholar
• Curtiss , J.H. 1971 . Amer. Math. Monthly , 78 : 577 – 596 .
   Web of Science ®Google Scholar
• Eisenstat , J.H. 1974 . SIAM J. Numer. Anal , 11 : 654 – 680 .
   Google Scholar
• Garabedian , P.R. 1964 . Partial differential equations , New York : John Wiley & Sons .
   Google Scholar
• Gilbert , R.P. 1969 . Function theoretic methods in partial differential equations , New York : Academic Press .
   Google Scholar
• Gilbert , R.P. and Howard , H.C. 1971 . J. Math. Anal. Appl , 34 : 671 – 684 .
   Google Scholar
• Gilbert , R.P. and Linz , P. 1974 . In Constructive methods for solving differential and integral equations . Lecture Notes in Mathematics , 430 : 237 – 251 .
   Google Scholar
• Henrici , P. 1953 . Comment.Math.Helv , 27 : 235 – 293 .
   Google Scholar
• Henrici , P. 1955 . Pacific J.Math , 5 : 725 – 744 .
   Google Scholar
• Henrici , P. 1955 . J.Rat.Mech.Phys , 4 : 983 – 1018 .
   Google Scholar
• Henrici , P. 1957 . Z.Angew.Math.Phys , 8 : 169 – 203 .
   Google Scholar
• Kossioris , G.T. and Athanassoulis , G.A. 1986 . Series expansions of solutions of elliptic partial differential equations in arbitrary plane domains , National Technical University of Athens, Dept.of Naval Arch. and Marine Engineering, Athens .
   Google Scholar
• Markushevich , A.I. 1977 . Theory of Functions of a complex variable , New York : Chelsea .
   Google Scholar
• Millar , R.F. 1973 . Radio Sci , 8 : 785 – 796 .
   Web of Science ®Google Scholar
• Millar , R.F. 1980 . J. Math. Anal. Appl , 76 : 498 – 515 .
   Google Scholar
• Millar , R.F. 1983 . IMA J. Appl. Math , 30 : 27 – 37 .
   Google Scholar
• Moon , P. and Spencer , D.E. 1961 . Field theory for engineers , D. Van Nostrand .
   Google Scholar
• Morse , P.M. and Feshbach , H. 1953 . Methods of theoretical physics , New York : McGraw-Hill .
   Google Scholar
• Mullin , C.R. , Sandburg , R. and Vellins , C.O. 1965 . IEEE Trans. Antennas and Propagation , AP-13 : 141 – 149 .
   Web of Science ®Google Scholar
• Schryer , N.L. 1972 . SIAM J. Numer. Anal , 9 : 546 – 572 .
   Google Scholar
• Smirnov , V.I. and Lebedev , N.A. 1968 . Functions of a complex variable. Constructive theory , Cambridge Mass : The M.I.T. Press .
   Google Scholar
• Suetin , P.K. 1964 . Russian Math. Surveys , 19 : 121 – 149 .
   Google Scholar
• Ursell , F. 1968 . Proc. Camb. Phil. Soc , 64 : 811 – 826 .
   Google Scholar
• Vekua , I.N. 1967 . New methods for solving elliptic equations , Amsterdam : North-Holland .
   Google Scholar
• Wilton , D.R. and Mittra , R. 1972 . IEEE Trans. Antennas and Propagat-ion , AP-20 : 310 – 317 .
   Web of Science ®Google Scholar