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Journal of Mathematical Sciences

, Volume 75, Issue 4, pp 1785–1791 | Cite as

Solving boundary-value problems ofx k -analytic functions for a semicircle

  • O. O. Kapshivy
  • I. V. Klen
Article

Abstract

Integral representations of xk-analytic functions (k=const>0) in terms of boundary values of analytic functions are given. Using these integral representations, three boundary-value problems of xk-analytic functions for a semicircle are solved by quadratures. Bibliography: 4 titles.

Keywords

Analytic Function Integral Representation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    G. N. Polzhy,Theory and Application of p-Analytic and (p, q)-Analytic Functions [in Russian], “Naukova dumka”, Kiev (1973).Google Scholar
  2. 2.
    A. A. Kapshivy, “On the fundamental integral representation ofx-analytic functions and its application to solving some integral equations”,Mat. Fiz., No. 12, 38–46 (1972).Google Scholar
  3. 3.
    F. D. Gakhov,Boundary Value Problems [in Russian], “Nauka”, Moscow (1977).Google Scholar
  4. 4.
    A. A. Kapshivy,Methods of Generalized Analytic Functions for Solving Axisymmetric Problems in Elasticity Theory [in Russian], Abstract of doctoral thesis, Tbilisi (1989).Google Scholar

Copyright information

© Plenum Publishing Corporation 1995

Authors and Affiliations

  • O. O. Kapshivy
  • I. V. Klen

There are no affiliations available

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