Meromorphic Close-to-Convex Functions

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Authors

  • Punjabi University, Patiala ,IN

DOI:

https://doi.org/10.18311/jims/1969/16740

Abstract

A function g(z) = z +a2z2 + . . . , regular in |z| < 1 is said to be close-to-convex in |z| < 1 if there exists a function G(z) = z +b2t2 + . . . regular and starlike in |z| < 1 and such that

Re {z g'(z)/G(z)}>0 (|z|<1).            (1)

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Published

1969-03-01

How to Cite

Singh, R. (1969). Meromorphic Close-to-Convex Functions. The Journal of the Indian Mathematical Society, 33(1), 13–20. https://doi.org/10.18311/jims/1969/16740

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Articles