ABSTRACT

Integral transform applied to solve the boundary value and initial value problems in mathematical physics in which the range of values of one of the independent variables say x, is finite for reducing the order of the associated partial differential is of the type ∫ a b f ( x , ⋯ ) K ( x , ξ ) d x , $$ \int_{a}^{b} f(x,~ \cdots )K(x,~\xi )dx, $$ https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429503580/e8c17e8d-aa2b-4352-a3e7-8cf96212c2f8/content/math2_1.tif"/>