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Articles

Generalized monogenic functions satisfying differential equations with anti-monogenic right-hand sides on Clifford algebras depending on parameters

Pages 1715-1724 | Received 10 Feb 2011, Accepted 06 Jul 2012, Published online: 28 Sep 2012

References

  • Tutschke , W and Yüksel , U . 1999 . Generalized Monogenic Functions Satisfying Differential Equations with Anti-Monogenic Right-Hand Sides, ISAAC Series , Vol. 6 , 263 – 270 . Dordrecht : Kluwer Academic Publishers .
  • Vekua , IN . 1962 . Generalized Analytic Function , Vol. 12 , Oxford : Pergamon Press .
  • Brackx , R , Delanghe , F and Sommen , F . 1982 . Clifford Analysis , Vol. 76 , Pitman, Holland : Pitman Research Notes .
  • Tutschke , W and Vanegas , C . 2008 . “ Clifford algebras depending on parameters and their applications to partial differential equations, Vol. 17 ” . In Some Topics on Value Distribution and Differentiability in Complex and p-adic Analysis , Edited by: Escassut , A , Tutschke , W and Yang , CC . 430 – 450 . Science Press Beijing .
  • Tutschke , W and Yüksel , U . 1999 . Interior lp estimates for functions with integral representations . Appl. Anal. , 73 : 281 – 284 .
  • Yüksel , U and Çelebi , OC . 2010 . Solution of initial value problems of Cauchy–Kovalevsky type in the space of generalized monogenic functions . Adv. Appl. Clifford Algebra. , 20 : 427 – 444 .
  • Yüksel , U . 2010 . Solution of initial value problems with monogenic initial functions in Banach spaces with L p -Norm . Adv. Appl. Clifford Algebra , 20 : 201 – 209 .
  • Tutschke , W and Vanegas , C . 2008 . Métodos del Análisis Complejo en Dimensiones Superiores , Ediciones IVIC, Caracas : XXI Escuela Venezolana de Matemáticas .

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