On α-g-Transformation and its properties.

Autor: Geem, Methaq Hamza, Abbood, Ahmed Mahdi
Předmět:
Zdroj: AIP Conference Proceedings; 2023, Vol. 2834 Issue 1, p1-6, 6p
Abstrakt: The aim of our work is finding new type of integral transformation such that it is considered generalized for transformation by using mitttag-leffler function of one parameter, namely α-g-Transformation and defined as: α − g (f (x)) = p ∫ 0 ∞ E α (q (s) x) α f (x) (d x) α (1) Where q(s)∈ C, and Eα is the mittag−leffler function ∑ k = 0 ∞ u k (k α) ! . Also the properties of this transformation are studied. We present the relation between α-g-Transformation and the convultion of functions. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index