On a Class of Starlike Functions in the Unit Disc-I

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Authors

  • M. L. Mogra
     Department of Mathematics, Indian Institute of Technology, Kanpur-208016 ,IN

Abstract

The concept of 'order' for a starlike function has been introduced in a number of ways (see e.g. [3], [4], [6] etc.), the recent one being due to Padmanabhan [5].

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Published

1976-12-01

How to Cite

Mogra, M. L. (1976). On a Class of Starlike Functions in the Unit Disc-I. The Journal of the Indian Mathematical Society, 40(1-4), 159–161. Retrieved from https://informaticsjournals.co.in/index.php/jims/article/view/16621

Issue

Volume 40, Issue 1-4, March-December 1976

Section

Articles

License

Copyright (c) 1976 M. L. Mogra

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

 

References

CLUNIE, J., On meromorphic schlicht functions, /. London Math. Soc. 34 (1959)r 215-216. MR 21 # 5737.

CLUNIE, J. and F.R. KEOGH, On starlike and convex schlicht functions, /. London Math. Soc. 35 (1960), 229-233. MR 22 # 1682.

HOLLAND, F. and D.K. THOMAS, On the order of a starlike function, Trans. Amer. Math. Soc. 158 (1971), 189-201. MR 43 # 3437.

LIBERA, R. J., Some radius of convexity problems, Duke Math. J. 31 (1964), 143-158. MR 28 # 4099.

PADMANABHAN, K.S., On certain classes of starlike functions in the unit disc,. J. Indian Math. Soc. 32 (1968), 89-103. MR 39 # 2965.

ROBERTSON, M.S., On the theory of univalent functions, Ann. of Math. 37 (1936)r 374-408.