Coefficient Conditions for Starlikeness of Nonnegative Order

Joint Authors

Ali, Rosihan M.
Lee, See Keong
Mondal, Saiful R.

Source

Abstract and Applied Analysis

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-13, 13 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-12-18

Country of Publication

Egypt

No. of Pages

13

Main Subjects

Mathematics

Abstract EN

Sufficient conditions on a sequence {ak} of nonnegative numbers are obtained that ensures f(z)=∑k=1∞akzk is starlike of nonnegative order in the unit disk.

A result of Vietoris on trigonometric sums is extended in this pursuit.

Conditions for close to convexity and convexity in the direction of the imaginary axis are also established.

These results are applied to investigate the starlikeness of functions involving the Gaussian hypergeometric functions.

American Psychological Association (APA)

Ali, Rosihan M.& Lee, See Keong& Mondal, Saiful R.. 2012. Coefficient Conditions for Starlikeness of Nonnegative Order. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-472529

Modern Language Association (MLA)

Ali, Rosihan M.…[et al.]. Coefficient Conditions for Starlikeness of Nonnegative Order. Abstract and Applied Analysis No. 2012 (2012), pp.1-13.
https://search.emarefa.net/detail/BIM-472529

American Medical Association (AMA)

Ali, Rosihan M.& Lee, See Keong& Mondal, Saiful R.. Coefficient Conditions for Starlikeness of Nonnegative Order. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-472529

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-472529