Incomplete exponential type of R-matrix functions and their properties

Abstract

In the present paper, we establish the incomplete exponential type (IEF) of $ R $-matrix functions and identify some properties of the incomplete exponential matrix functions including integral representation, some derivative formula and generating functions of the incomplete exponential of $ R $-matrix functions. Finally, special cases of the presented results are pointed out.

Keywords

• incomplete exponential functions
• special functions
• special matrix functions
• r-matrix function
• integral representation