A note on the powers of bazilevič functions

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Marjono, D.K. Thomas

2015 International Journal of Mathematical Analysis Vol. 9 Issue 41-44 Article Cited by 5 Quartile

Abstract

For α ≥ 0, let B1(α) be the set of Bazilevič functions f, analytic in z ∈ D = {z: |z|<1}, given by, and satisfying Re. For λ ≥ 0, let. We consider the problem of determining whether, where bn(λ) are the coefficients of the extreme functions of, for f ∈ B1(α). © 2015 Marjono and D. K. Thomas.

Affiliations

Faculty of Mathematics and Natural Sciences, Brawijaya University, Malang, Jawa Timur, 65145, Indonesia; Department of Mathematics, Swansea University, Singleton Park, Swansea, SA2 8PP, United Kingdom