Coefficient Estimates For Certain Classes Of Analytic Functions

Authors

  • M. A. Ganiyu DEPARTMENT OF PHYSICAL SCIENCES, AL-HIKMAH UNIVERSITY, ILORIN, NIGERIA
  • F. M. Jimoh DEPARTMENT OF PHYSICAL SCIENCES, AL-HIKMAH UNIVERSITY, ILORIN, NIGERIA
  • C. N. Ejieji DEPARTMENT OF MATHEMATICS, UNIVERSITY OF ILORIN, ILORIN, NIGERIA
  • K. O. Babalola DEPARTMENT OF MATHEMATICS, UNIVERSITY OF ILORIN, ILORIN, NIGERIA

Abstract

Bounds on early coefficients of analytic functions normalized by f(0) = f(0) − 1 = 0 which satisfy

Re f(z) α−1f(z)zα−11 + zf(z)f(z)> 0

in the unit disk U = {z ∈ C : |z| < 1} are obtained using known properties of functions with positive real part.

Downloads

Published

2021-04-08

How to Cite

Ganiyu, M. A. ., Jimoh, F. M. ., Ejieji, C. N. ., & Babalola, K. O. . (2021). Coefficient Estimates For Certain Classes Of Analytic Functions. Journal of the Nigerian Mathematical Society, 33(1-3), 175–183. Retrieved from https://ojs.ictp.it/jnms/index.php/jnms/article/view/716

Issue

Vol. 33 No. 1-3 (2014): JNMS

Section

Articles

License

Creative Commons License

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