Publication Cover
Applicable Analysis
An International Journal
Volume 6, 1977 - Issue 2
34
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Original Articles

On biharmonic functions which are always harmonic functions

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Pages 149-153 | Received 08 Mar 1976, Published online: 02 May 2007

References

  • Schwarz , H. A. 1869 . Ueber einige Abbildungsaufgaben . J. Mathematik , 70 : 105 – 120 .
  • Diaz , J. B. and Ram , R. B. 1869 . Uniqueness of Dirichlet . Neumann, and mixed boundary value problems for Laplace's and Poisson's equations for a rectangle (to appear) , 70
  • Poritsky , H. 1946 . Application of analytic functions to two dimensional biharmonic analysis . Trans. Amer. Math. Soc. , 59 : 248 – 279 .
  • Duffin , R. J. 1955 . Continuation of biharmonic functions by reflection . Duke Math. J , 22 : 313 – 324 .
  • Huber , A. 1955 . The reflection principle for polyharmonic functions . Pacific J. Math. 5, , 22 : 433 – 439 .
  • Huber , A. 1956 . On the reflection principle for polyharmonic functions . Com. Pure App. Math.. IX , 22 : 471 – 478 .
  • John , F. 1957 . Continuation and reflection of solutions of partial differential equations . Bull. A mer. Math. Soc. , 6 : 327 – 344 .

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