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New criteria for multivalently meromorphic convex functions of order α

2012
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Journal of Classical Analysis
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Let J n+p−1 (α) (p ∈ N, n > −p, 0 α < p) denote the class of functions of the form f (z) = 1 z p + a 0 z p−1 + a 1 z p−2 + ··· which are regular and p -valent in the punctured unit disc and satisfy the condition is the class of p -valently meromorphic convex functions of order α (0 α < p) , all functions in J n+p−1 (α) are p -valently meromorphic convex of order α . Further, we consider the integral operators of functions in J n+p−1 (α). which are regular and p -valent in the punctured unit

doi:10.7153/jca-01-13
fatcat:hwsdbw3zjjh5jp6wryhecxckwe