NEW CRITERIA FOR MULTIVALENT MEROMORPHIC STARLIKE FUNCTIONS OF ORDER ALPHA

Let M(n+p-1) (alpha) (p is-an-element-of N = {1, 2,...}, n > - p. 0 less-than-or-equal-to alpha < p) deonte the class of functions of the form f(z) = 1/z(p) + a0/z(p-1) + a1/z(p-2) + ... which are regular and p-valent in the punctured disc U* = {z : 0 < Absolute value of z < 1} and satisfy the condition Re {D(n+p)f(z)/D(n+p-1)f(z) - (p + 1)} < - p(n) + P - 1) + alpha/n + p, Absolute value of z < 1, 0 less-than-or-equal-to alpha < p, where D(n+p-1)f(z) = 1/z(p)(1 - z)n+p * f(z) (n > - p). It is proved that M(n+p)(alpha) subset-of M(n+p-1)(alpha) (0 less-than-or-equal-to alpha < p, n > - p). Since M0(alpha) is the class of p-valent meromorphically starlike functions of order alpha(0 less-than-or-equal-to alpha < p), all functions in M(n+p-1)(alpha) are p-valent meromorphically starlike functions of order alpha. Further we consider the integrals of functions in M(n+p-1)(alpha).