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STUDIA MATHEMATICA - Issue no. 3 / 2010 | |||||||
Article: |
AN APPLICATION OF MILLER AND MOCANU LEMMA. Authors: . |
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Abstract: Let H[a, n] be the class of functions f(z) = a +
anzn + ... which are analytic in the open unit disk U. For f(z) Є H[a, n], S.
S. Miller and P. T. Mocanu (J. Math. Anal. Appl. 65(1978), 289-305) have shown Miller
and Mocanu lemma which is the generalization of Jack lemma by I. S. Jack (J.
London Math. Soc. 3(1971), 469-474). Applying Miller and Mocanu lemma, an
interesting property for f(z) Є H[a, n] and an example are discussed. Key words and phrases. Analytic, univalent, Jack’s lemma, Miller and Mocanu lemma. |
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