id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
cana-3476	Dipali Kaklij, Dinkar Patil	New General Complex Integral Transform on Time Scales	2025	12	.pdf	application/pdf	4604	341	84	𝒯𝑔 𝑐{𝑓∆(𝑡)}(𝑠) = 𝑝(𝑠) ∫ 𝑓∆(𝑡)𝑒⊖𝑖𝑞(𝑠) 𝜎 (𝑡, 0)∆𝑡 ∞ 0 Communications on Applied Nonlinear Analysis ISSN: 1074-133X Vol 32 No. 7s (2025) 702 https://internationalpubls.com = 𝑝(𝑠) ((𝑓(𝑡)𝑒⊖𝑖𝑞(𝑠)(𝑡, 0)) 𝑡=0 𝑡=∞ − ∫ 𝑓(𝑡)𝑒⊖𝑖𝑞(𝑠) ∆ (𝑡, 0) ∞ 0 ∆𝑡) ⸪ by rule for integration by parts. 3.6.1 Theorem 4 Convolution theorem Let 𝑓: 𝕋 → ℂ and 𝑔: ℂ → ℂ have new general complex integral transforms on time scales 𝕋 are ℱ𝑔 𝑐(𝑠) and 𝒢𝑔 𝑐(𝑠) respectively.	cache/cana-3476.pdf	txt/cana-3476.txt