Global Journal of Science Frontier Research, F: Mathematics and Decision Science, Volume 23 Issue 4

S.NO . Function ( ) Sumudu transform [ ( )] New transform [ ( )] 1 1 1 1 2 ʋ 1 3 2 2!/ ʋ 2 2ʋ 4 n!/ʋ n −1 Γ ( + 1) 5 1 (1 − ) 1 (1 − ) 6 ʋ 1 + 2 2 1 + 2 2 7 1 (1 + 2 2 ) 1 (1 + 2 2 ) 8 ℎ ʋ 1 − 2 2 1 − 2 2 9 ℎ 1 (1 − 2 2 ) 1 (1 − 2 2 ) S.NO . Function ( ) Aboodh transform [ ( )] New transform [ ( )] 1 1 1 2 1 2 1 3 1 3 2 2! 4 2ʋ 4 ! +2 −1 Γ ( + 1) 5 1 ʋ(ʋ − ) 1 (1 − ) 6 ʋ( 2 + 2 ) 1 + 2 2 7 1 ( 2 + 2 ) 1 (1 + 2 2 ) A New Integral Transform Called “Saxena & Gupta Transform” and Relation between New Transform and other Integral Transforms Compare between New transform and other transform Table 2: Sumudu transform and New transform Table 3: Aboodh transform and New transform N otes 1 Year 2023 19 Frontier Research Volume XXIII Issue ersion I V ( F ) Science © 2023 Global Journals Global Journal of IV ix)