Weyl fractional calculus and Laplace transform (Q1066398)

The authors develop the Weyl fractional calculus to obtain Laplace transforms of \(t^ q \phi (t)\) (for all real values of q), where \(\phi\) (t) is taken in the form of \(f(a\sqrt{(t^ 2-b^ 2)})\) and certain other forms. They also establish a generating function involving an H- function of several variables by means of generalized Taylor series.