CERTAIN NEW SUBCLASSES OF ANALYTIC FUNCTIONS INVOLVING GENERALIZED HYPERGEOMETRIC FUNCTION

Authors

  • JAMIU O. HAMZAT DEPARTMENT OF MATHEMATICS, UNIVERSITY OF LAGOS, AKOKA, LAGOS

Abstract

In this work the author considered new subclasses of analytic univalent functions using certain linear operator. With the operator, the author was able to study several new and existing subclasses of analytic univalent functions in the unit disk. The results presented in this paper include, coefficient estimates (which were later used to investigate certain subclasses of analytic functions with fixed finitely many coefficients) and
distortion theorems for functions belonging to these subclasses.
Furthermore, some relationships between these subclasses were
also discussed.

References

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Published

2019-05-06

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How to Cite

CERTAIN NEW SUBCLASSES OF ANALYTIC FUNCTIONS INVOLVING GENERALIZED HYPERGEOMETRIC FUNCTION. (2019). Journal of the Nigerian Mathematical Society, 38(1), 21-43. https://ojs.ictp.it/jnms/index.php/jnms/article/view/422