4.6 Article

Incomplete exponential type of R-matrix functions and their properties

Journal

AIMS MATHEMATICS
Volume 8, Issue 11, Pages 26081-26095

Publisher

AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/math.20231329

Keywords

incomplete exponential functions; special functions; special matrix functions; R-matrix function; integral representation

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In this paper, the incomplete exponential type of R-matrix functions is established and some properties of the incomplete exponential matrix functions are identified, including integral representation, derivative formula, and generating functions. Special cases of the results are also pointed out.
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.

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