Abstract
Convolution technique and subordination theorem are used to study certain class of meromorphic univalent functions in the punctured unit disc.
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Bajpai S K, A note on a class of meromorphic univalent functions,Rev. Roum. Math. Pures Appl. 22 (1977) 295–297
Goel R M and Sohi N S, On a class of meromorphic functions,Glas. Mat. 17 (1981) 19–28.
Goodman A W, Univalent functions, Vol. II, (Tampa, Florida: Mariner Publishing Company) (1983)
Miller S S and Mocanu P T, Univalent solutions of Briot — Bouquet differential equations,J. Differ. Equ. 56 (1985) 297–309
Mogra M L, Hadamard product of certain meromorphic univalent functions,J. Math. Anal. Appl. 157 (1991) 10–16
Reddy T R and Juneja O P, Integral operators on a class of meromorphic functions,C.R. Acad. Bulgare Sci. 40 (1987), 21–23
Robertson M S, Convolutions of Schlicht functions,Proc. Am. Math. Soc. 13 (1962) 585–589
Ruscheweyh S, New criteria for univalent functions,Proc. Am. Math. Soc. 49 (1975) 109–115
Whittaker E T and Watson G N, A course of modern analysis, 4th ed. (Cambridge: University Press) 1927
Wilken D R and Feng J, A remark on convex and starlike functions,J. London Math. Soc. 21 (1980) 287–290
Yoshikawa H and Yoshikai T, Some notes on Bazilevič functions,J. London Math. Soc. 20 (1979) 79–85
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Ponnusamy, S. Convolution properties of some classes of meromorphic univalent functions. Proc. Indian Acad. Sci. (Math. Sci.) 103, 73–89 (1993). https://doi.org/10.1007/BF02837896
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DOI: https://doi.org/10.1007/BF02837896