Convex Sum of Regular Functions

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Authors

  • Pran Nath Chichra
     Department of Physics, Punjabi University, Patiala ,IN

Abstract

Let C Denote the class of functions

f(z) = z + a8z2 + . . . + anzn + ...

which are regular in the unit disc E = {z||z| < 1} and map it onto a convex domain and let

sn(z,f) = z + a2z2+ ...anzn.

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Published

1975-12-01

How to Cite

Chichra, P. N. (1975). Convex Sum of Regular Functions. The Journal of the Indian Mathematical Society, 39(1-4), 299–304. Retrieved from https://informaticsjournals.co.in/index.php/jims/article/view/16655

Issue

Volume 39, Issue 1-4, March-December 1975

Section

Articles

License

Copyright (c) 1975 Pran Nath Chichra

Creative Commons License

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

 

References

P.N. CHICHRA AND R. SINGH, Convex sum of univalent functions, J. Austral. Math. Soc. XIV (1972), 503-507.

ST. RUSCHEVVEYH AND T. SHEIL-SMALL, Hadamard products of schlicht functions and the Polya-Schoenberg Conjecture', 48(1973), 119-135.

S.Y. TRIMBLE, 'The convex sum of convex functions', Math. Z. 109 (1969), 112-114.