In this study, we introduce q*— (or q—multiplicative) Laplace transform by means of q*—integral. Some properties of q*—Laplace transform are presented. Also, q*—Laplace transform can be utilized for ...

The aim of the course is to study the three main types of partial differential equations: parabolic (diffusion equation), elliptic (Laplace equation), and hyperbolic (wave equation), and the ...

Quarterly of Applied Mathematics, Vol. 70, No. 1 (March 2012), pp. 77-97 (21 pages) This note deals with the Laplace transforms of integrands of the form xλ Jα (ax) Jβ (bx), which are found in ...