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In this paper, we introduce a new type of integral transforms, called the ARA integral transform that is defined as: G n g ( t ) ( s ) = G ( n , s ) = s ∫ 0 ∞ t n − 1 e − s t g ( t ) d t , s > 0 . We prove some properties of ARA transform and give some examples. Also, some applications of the ARA transform are given.
Saadeh et al. (Tue,) studied this question.