On complex Finsler space with infinite series of (α,β)-metric

Abstract

The purpose of the present paper is to investigate the complex Finsler space with infinite series of (α,β)-metric F = |β|² /|β|−α. Next we determine the fundamental metric tensor, angular metric tensor and ChernFinsler connection coefficients. Further, we discussed the special approach to Kahler-Randers change of infante series (α,β)-metric using some examples.