Generalization of Titchmarsh' s theorem for the first Hankel-Clifford transform in the space {\boldmath${L^{p}_{\mu}}((0,+\infty))$}

Using a generalized translation operator, we intend to establish generalizations of the Titchmarsh theorem ([ref14], theorem 84) for the first Hankel-Clifford transform for certain classes of functions in the space $L^{p}_{\mu}((0,+\infty))$, where $1<p\leq 2$.