Argument Properties for p-Valent Meromorphic Functions Defined by Differintegral Operator

The integral operator L-p(m) (lambda, l)(lambda, l > 0; p is an element of N; m is an element of N-0 - N boolean OR {0}, where N = {1, 2, ... }) for functions of the form f(z) = z(-p) + Sigma(infinity)(k=p+1) a(k)z(k) which are analytic and p-valent in the punctured open unit disc U* = {z 2 C : 0 < vertical bar z vertical bar < 1} = U\{0} was introduced by El-Ashwah [7]. The objective of the present paper is to extend the definition of the operator L-p(m) (lambda, l) f( z) for m is an element of Z = {0, +/- 1, +/- 2, ... } and drive interesting argument results of p-valent meromorphic functions defined by this differintegral operator.