  In the present paper, unification of Bessel, modified Bessel, spherical
Bessel and Bessel-Clifford functions via the generalized Pochhammer symbol [
Srivastava HM, Cetinkaya A, K{\i}ymaz O. A certain generalized Pochhammer
symbol and its applications to hypergeometric functions. Applied Mathematics
and Computation, 2014, 226 : 484-491] is defined. Several potentially useful
properties of the unified family such as generating function, integral
representation, Laplace transform and Mellin transform are obtained. Besides,
the unified Bessel, modified Bessel, spherical Bessel and Bessel-Clifford
functions are given as a series of Bessel functions. Furthermore, the
derivatives, recurrence relations and partial differential equation of the
so-called unified family are found. Moreover, the Mellin transform of the
products of the unified Bessel functions are obtained. Besides, a three-fold
integral representation is given for unified Bessel function. Some of the
results which are obtained in this paper are new and some of them coincide with
the known results in special cases.
