[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.b150720

ON THE TRANSFORMATION FORMULA OF THE SLICE BERGMAN KERNELS IN THE QUATERNION VARIABLES

Park, Jong-Do (Department of Mathematics and Research Institute for Basic Sciences Kyung Hee University)

Publication Information

Bulletin of the Korean Mathematical Society / v.53, no.5, 2016 , pp. 1401-1409 More about this Journal

Abstract

In complex analysis, the Bergman kernels for two biholomorphically equivalent complex domains satisfy the transformation formula. Recently new Bergman theory of slice regular functions of the quaternion variables has been investigated. In this paper we construct the transformation formula of the slice Bergman kernels under slice biregular functions in the setting of the quaternion variables.

Keywords

Bergman kernel; transformation formula; quaternion variables; slice regular functions; slice Bergman kernel;

Citations & Related Records

Reference

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