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Convolution properties for subclasses of meromorphic univalent functions of complex order

Bulboacă Teodor (Faculty of Mathematics and Computer Science, Babeş-Bolyai University, Cluj-Napoca, Romania)
Aouf Mohamed K. (Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt)
El-Ashwah Rabha M. (Department of Mathematics, Faculty of Science (Damietta Branch), Mansoura University, New Damietta, Egypt)

Using the new linear operator Lm(,l)f(z) = 1/z + k=1(l/l+ k)m akzk-1, f  , where l > 0,   0, and m  N0 = N  {0}, we introduce two subclasses of meromorphic analytic functions, and we investigate several convolution properties, coefficient inequalities, and inclusion relations for these classes.

Keywords: Analytic functions, meromorphic functions, convolution product, differential subordination