ESTIMATING COEFFICIENTS FOR SUBCLASSES OF MEROMORPHIC BI-UNIVALENT FUNCTIONS ASSOCIATED WITH LINEAR OPERATOR

Volume: 4 Number: 1 June 1, 2014
  • Fateh S. Aziz
  • Abdul Rahman S. Juma
EN

ESTIMATING COEFFICIENTS FOR SUBCLASSES OF MEROMORPHIC BI-UNIVALENT FUNCTIONS ASSOCIATED WITH LINEAR OPERATOR

Abstract

In this paper we define a differential linear operator, applying it on the subclasses HΣ∗B α, n, λ of meromorphic starlike bi-univalent functions of order α, and HΣ˜ ∗B α, n, λ of meromorphic strongly starlike bi-univalent functions of order α, also we find estimates on the coefficients |bo| and |b1| for functions in these subclasses.

Keywords

References

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  3. Press, London and New York. Brannan D.A. and Taha T.S., (1986), On some classesof bi-univalent functions, Studia Univ. Babes- Bolyai Math. 31, no. 2, pp. 70-77.
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  5. Duren P.L., (1971), Coefficients of meromorphic schlicht functions, Proc. Amer. Math. Soc., 28, pp. 172.
  6. Frasin B.A., Aouf M.K., (2011) New subclasses of bi-univalent functions, Appl. Math. Lett., 24 (9) pp.1569-1573.
  7. Goodman A.W., (1983) Univalent functions, Vol. 1, Polygonal Puplishing House, Washington, New Jersey.
  8. Kapoor G.P. and Mishra A.K., (2007), Coefficient estimates for inverses of starlike functions of positive order, J. Math. Anal. Appl., 329 , no. 2, pp. 922-934.

Details

Primary Language

English

Subjects

-

Journal Section

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Authors

Fateh S. Aziz This is me

Abdul Rahman S. Juma This is me

Publication Date

June 1, 2014

Submission Date

-

Acceptance Date

-

Published in Issue

Year 2014 Volume: 4 Number: 1

APA
Aziz, F. S., & Juma, A. R. S. (2014). ESTIMATING COEFFICIENTS FOR SUBCLASSES OF MEROMORPHIC BI-UNIVALENT FUNCTIONS ASSOCIATED WITH LINEAR OPERATOR. TWMS Journal of Applied and Engineering Mathematics, 4(1), 39-44. https://izlik.org/JA93NB76AM
AMA
1.Aziz FS, Juma ARS. ESTIMATING COEFFICIENTS FOR SUBCLASSES OF MEROMORPHIC BI-UNIVALENT FUNCTIONS ASSOCIATED WITH LINEAR OPERATOR. JAEM. 2014;4(1):39-44. https://izlik.org/JA93NB76AM
Chicago
Aziz, Fateh S., and Abdul Rahman S. Juma. 2014. “ESTIMATING COEFFICIENTS FOR SUBCLASSES OF MEROMORPHIC BI-UNIVALENT FUNCTIONS ASSOCIATED WITH LINEAR OPERATOR”. TWMS Journal of Applied and Engineering Mathematics 4 (1): 39-44. https://izlik.org/JA93NB76AM.
EndNote
Aziz FS, Juma ARS (June 1, 2014) ESTIMATING COEFFICIENTS FOR SUBCLASSES OF MEROMORPHIC BI-UNIVALENT FUNCTIONS ASSOCIATED WITH LINEAR OPERATOR. TWMS Journal of Applied and Engineering Mathematics 4 1 39–44.
IEEE
[1]F. S. Aziz and A. R. S. Juma, “ESTIMATING COEFFICIENTS FOR SUBCLASSES OF MEROMORPHIC BI-UNIVALENT FUNCTIONS ASSOCIATED WITH LINEAR OPERATOR”, JAEM, vol. 4, no. 1, pp. 39–44, June 2014, [Online]. Available: https://izlik.org/JA93NB76AM
ISNAD
Aziz, Fateh S. - Juma, Abdul Rahman S. “ESTIMATING COEFFICIENTS FOR SUBCLASSES OF MEROMORPHIC BI-UNIVALENT FUNCTIONS ASSOCIATED WITH LINEAR OPERATOR”. TWMS Journal of Applied and Engineering Mathematics 4/1 (June 1, 2014): 39-44. https://izlik.org/JA93NB76AM.
JAMA
1.Aziz FS, Juma ARS. ESTIMATING COEFFICIENTS FOR SUBCLASSES OF MEROMORPHIC BI-UNIVALENT FUNCTIONS ASSOCIATED WITH LINEAR OPERATOR. JAEM. 2014;4:39–44.
MLA
Aziz, Fateh S., and Abdul Rahman S. Juma. “ESTIMATING COEFFICIENTS FOR SUBCLASSES OF MEROMORPHIC BI-UNIVALENT FUNCTIONS ASSOCIATED WITH LINEAR OPERATOR”. TWMS Journal of Applied and Engineering Mathematics, vol. 4, no. 1, June 2014, pp. 39-44, https://izlik.org/JA93NB76AM.
Vancouver
1.Fateh S. Aziz, Abdul Rahman S. Juma. ESTIMATING COEFFICIENTS FOR SUBCLASSES OF MEROMORPHIC BI-UNIVALENT FUNCTIONS ASSOCIATED WITH LINEAR OPERATOR. JAEM [Internet]. 2014 Jun. 1;4(1):39-44. Available from: https://izlik.org/JA93NB76AM