Convolutions of Harmonic Functions with Certain Dilatations

Joint Authors

Ahuja, O. P.
M. Jahangiri, Jay

Source

International Journal of Mathematics and Mathematical Sciences

Issue

Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-4, 4 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2017-11-29

Country of Publication

Egypt

No. of Pages

4

Main Subjects

Mathematics

Abstract EN

The convolution of harmonic functions, unlike the analytic case, proved to be very challenging.

In this paper, we introduce dilatation conditions that guarantee the convolution of two harmonic functions to be locally one-to-one, sense-preserving, and close-to-convex harmonic in the unit disk.

American Psychological Association (APA)

Ahuja, O. P.& M. Jahangiri, Jay. 2017. Convolutions of Harmonic Functions with Certain Dilatations. International Journal of Mathematics and Mathematical Sciences،Vol. 2017, no. 2017, pp.1-4.
https://search.emarefa.net/detail/BIM-1167722

Modern Language Association (MLA)

Ahuja, O. P.& M. Jahangiri, Jay. Convolutions of Harmonic Functions with Certain Dilatations. International Journal of Mathematics and Mathematical Sciences No. 2017 (2017), pp.1-4.
https://search.emarefa.net/detail/BIM-1167722

American Medical Association (AMA)

Ahuja, O. P.& M. Jahangiri, Jay. Convolutions of Harmonic Functions with Certain Dilatations. International Journal of Mathematics and Mathematical Sciences. 2017. Vol. 2017, no. 2017, pp.1-4.
https://search.emarefa.net/detail/BIM-1167722

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1167722