On the Klein–Gordon equation and hyperbolic pseudoanalytic function theory
نویسندگان
چکیده
منابع مشابه
On the Klein-Gordon equation and hyperbolic pseudoanalytic function theory
Elliptic pseudoanalytic function theory was considered independently by Bers and Vekua decades ago. In this paper we develop a hyperbolic analogue of pseudoanalytic function theory using the algebra of hyperbolic numbers. We consider the Klein-Gordon equation with a potential. With the aid of one particular solution we factorize the Klein-Gordon operator in terms of two Vekua-type operators. We...
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Using three different representations of the bicomplex numbers T ∼= ClC(1, 0) ∼= ClC(0, 1), which is a commutative ring with zero divisors defined by T = {w0 + w1i1 + w2i2 + w3j | w0, w1, w2, w3 ∈ R} where i1 = −1, i 2 2 = −1, j 2 = 1 and i1i2 = j = i2i1, we construct three classes of bicomplex pseudoanalytic functions. In particular, we obtain some specific systems of Vekua equations of two co...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and Theoretical
سال: 2008
ISSN: 1751-8113,1751-8121
DOI: 10.1088/1751-8113/41/6/065205