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On a transplant operator and explicit construction of Cauchy-type integral representations for p-analytic functions

  • Published:2008-03 Issue:2 Volume:339 Page:1103-1111
  • ISSN:0022-247X
  • Container-title:Journal of Mathematical Analysis and Applications
  • language:en
  • Short-container-title:Journal of Mathematical Analysis and Applications

Author:

Kravchenko Vladislav V.

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference30 articles.

1. Spatial Problems of Elasticity Theory: Application of Methods of the Theory of Functions of Complex Variable;Aleksandrov,1978

2. Boundary value problems for analytic and generalized analytic functions;Begehr,1985

3. Theory of Pseudo-Analytic Functions;Bers,1952

4. An outline of the theory of pseudoanalytic functions;Bers;Bull. Amer. Math. Soc.,1956

5. New applications of pseudoanalytic function theory to the Dirac equation;Castañeda;J. Phys. A,2005

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. An approximate numerical method for solving Cauchy singular integral equations composed of multiple implicit parameter functions with unknown integral limits in contact mechanics;Journal of Mathematical Analysis and Applications;2020-02

2. Cauchy integral formula for generalized analytic functions in hydrodynamics;Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences;2012-08-08

3. On the two-dimensional stationary Schrödinger equation with a singular potential;Journal of Mathematical Analysis and Applications;2011-05

4. Explicit solutions of generalized Cauchy–Riemann systems using the transplant operator;Journal of Mathematical Analysis and Applications;2010-10

5. Applied Pseudoanalytic Function Theory;Frontiers in Mathematics;2009
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