We first prove a Cauchy's integral theorem and Cauchy-type formula for certain inhomogeneous Cimmino system from quaternionic analysis perspective. The second part of the paper directs attention towards some applications mentioned results, dealing in particular with four kinds weighted Bergman spaces, reproducing kernels, projection conformal invariant properties.

skopos theory ,as a functionalist approach, has made a notable switch from a lingusitic oriented to a more sociocultural concept of translation. initially proposed by vermeer, skopos theory framework has been applied by several researchers in their attempts to defend translators’ dignity and social status. yet; as far as the authors are concerned, no researcher has ever employed sociological th...

System theory for numerical analysis has recently become a focus of research. In this paper we regard dynamics of Newton’s method as a nonlinear feedback system and derive convergence conditions, based on the internal model principle and systems of Lur’e type. We then focus our attention on the analysis of the region of absolute stability of Runge-Kutta type methods. We derive a linear matrix i...

Grey System theory was initiated in 1982 [7]. As far as information is concerned, the systems which lack information, such as structure message, operation mechanism and behaviour document, are referred to as Grey Systems. For example, the human body, agriculture, economy, etc., are Grey Systems. Usually, on the grounds of existing grey relations, grey elements, grey numbers (denoted by 8 ) one ...