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Solutions to Polynomial Generalized Bers–Vekua Equations in Clifford Analysis

✍ Scribed by Min Ku; Daoshun Wang; Lin Dong

Book ID
113090434
Publisher
SP Birkhäuser Verlag Basel
Year
2011
Tongue
English
Weight
274 KB
Volume
6
Category
Article
ISSN
1661-8254

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📜 SIMILAR VOLUMES

On the solutions of a class of iterated
On the solutions of a class of iterated generalized Bers–Vekua equations in Clifford analysis
✍ P. Berglez 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 95 KB

## Abstract We consider functions with values in the Clifford algebra __Cl__~__p,q__~ which are solutions of a certain class of the iterated generalized Bers–Vekua equation __D__^__m__^__w__=0 with __Dw__=__∂____w__+__c__w̄ where \documentclass{article}\usepackage{amssymb}\usepackage{amsbsy}\usepac

Solutions to the polynomial Dirac equati
Solutions to the polynomial Dirac equations on unbounded domains in Clifford analysis
✍ Min Ku; Daoshun Wang 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 173 KB

In this paper we study polynomial Dirac equation p(D)f = 0 including (D-k)f = 0 with complex parameter k and D k f = 0(k ≥ 1) as special cases over unbounded subdomains of R n+1 . Using the Clifford calculus, we obtain the integral representation theorems for solutions to the equations satisfying ce