  Motivated mainly by certain interesting recent extensions of the Gamma, Beta
and hypergeometric functions, we introduce here new extensions of the Beta
function, hypergeometric and confluent hypergeometric functions. We
systematically investigate several properties of each of these extended
functions, namely their various integral representations, Mellin transforms,
derivatives, transformations, summation formulas and asymptotics. Relevant
connections of certain special cases of the main results presented here are
also pointed out.
