CERTAIN EXPANSION FORMULAE INVOLVING INCOMPLETE I-FUNCTIONS

CERTAIN EXPANSION FORMULAE INVOLVING INCOMPLETE I-FUNCTIONS

S. D. PUROHIT, D. L. SUTHAR, ALI A. AL-JARRAH, V. K. VYAS, K. S. NISAR

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Abstract. The aim of this paper is to derive the expansion formulae for the incomplete I-function. Furthermore, their special cases are illustrated in terms of various types of special functions (incomplete I-function, incomplete H -function, and incomplete H- function) that are common in nature and very useful for further analysis.

Keywords:I-function, Incomplete I-function, Taylor's series.

AMS Subject Classification: 26A33, 33B15, 33C05, 33C20.