%0 Journal Article
%T The Complementary Hankel Type Transformations Of Arbitrary Order
%A B.B. Waphare
%A S.B. Gunjal
%J International Journal of Analysis and Applications
%D 2013
%I Etamaths Publishing
%X In this paper four self-reciprocal integral transformations of Hankel type are defined. The simultaneous use of trans-formations H1,¦Á,¦Â and H2,¦Á,¦Â (which are denoted by H¦Á,¦Â) allows us to solve many problems of Mathematical Physics involving the differential operator  ¦Á,¦Â= D2+4¦Áx 1D, whereas the pair of transformations H3,¦Á,¦Â and H4,¦Á,¦Â (which we express by H¦Á,¦Â) permits us to tackle those problems containing its adjoint operator, no matter what the real value of ¦Á   ¦Â be. These transformations are also investigated in a space of generalized functions according to the mixed Parseval equation.
%U http://www.etamaths.com/index.php/ijaa/article/view/49