Clifford analysis offers suited framework for a unified treatment of higher-dimensional
phenomena. This paper is concerned with boundary value problems for higher order Dirac …

In this paper we study the Dirichlet problem in the ball for the so-called inframonogenic
functions, ie the solutions of the sandwich equation∂ x _ f∂ x _= 0, where∂ x _ stands for …

Let Ω⊂ ℝ m Ω ⊂ R^ m be a bounded regular domain, let∂ x _ ∂ _\_ x be the standard
Dirac operator in ℝ m R^ m, and let ℝ 0, m R _ 0, m be the Clifford algebra constructed over …

In the development of the theories of generalized monogenic functions in Clifford analysis,
there are natural appearances of the composition of the Dirac operators such as …

A Cauchy integral formula for (p, q)-monogenic functions with α-weight Page 1 Appl. Math. J.
Chinese Univ. 2024, 39(3): 545-553 A Cauchy integral formula for (p, q)-monogenic functions …

A function ff from a domain in ℝ 3 R & amp;# x0005E; 3 to the quaternions is said to be
inframonogenic if∂‾ f∂‾= 0 ∂ f ∂ & amp;# x0003D; 0, where∂‾=∂/∂ x 0+(∂/∂ x 1) e …

Inframonogenic functions can be viewed as a non-commutative version of the more
traditional harmonic functions. In this paper we obtain a new Fischer decomposition for …

In the algebra of complex quaternions $\mathbb {H (C)} $ we consider for the first time left-
and right-$\psi $-hyperholomorphic functions. We justify the transition in left-and right-$\psi …

The Clifford algebra language allows us to consider natural generalizations of the Lamé–
Navier system. The aim of this paper is to study the Dirichlet problem for these generalized …

In the algebra of complex quaternions H (C) we consider the left–and right–ψ–
hyperholomorphic functions, and left–Λ-ψ–hyperholomorphic functions. We justify the …