International Journal of Mathematics and Mathematical Sciences
Volume 1 (1978), Issue 2, Pages 145-159
doi:10.1155/S0161171278000198
Abstract
Recently [8], an operational calculus for the operator Bμ=t−μDt1+μD with −1<μ<∞ was developed via the algebraic approach [4], [13], [15]. This paper gives the integral transform version. In particular, a differentiation theorem and a convolution theorem are proved.