A theorem on the glasser transform and its applications
Titel:
A theorem on the glasser transform and its applications
Auteur:
Kahramaner, Yasemin Srivastava, H. M. Yurekli, Osman
Verschenen in:
Complex variables and elliptic equations
Paginering:
Jaargang 27 (1995) nr. 1 pagina's 7-15
Jaar:
1995-01
Inhoud:
In the present paper the authors prove a Parseval-Goldstein type theorem involving the Glasser transform, the K-transform of order zero, and the Fourier cosine transform. The theorem is then shown to yield a number of new identities on the Glasser transform, the Fourier cosine transform, the K-transform of order zero, the Laplace transform, and the Widder potential transform. Using the theorem and its corollaries, a number of interesting infinite integrals of elementary and special functions are presented. Some illustrative examples are also given.