Convolutions of harmonic half-plane mappings with harmonic vertical strip mappings | Zendy

Zhihong Liu | Zendy; Yue-Ping Jiang | Zendy; Yong Sun | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Convolutions of harmonic half-plane mappings with harmonic vertical strip mappings

Author(s) -

Zhihong Liu,

Yue-Ping Jiang,

Yong Sun

Publication year - 2017

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1707843l

Subject(s) - mathematics , harmonic , regular polygon , plane (geometry) , mathematical analysis , geometry , acoustics , physics

In the present paper, we prove the convolutions of generalized harmonic right half-plane mappings with harmonic vertical strip mappings are univalent and convex in the horizontal direction. Furthermore, we use a simple method to prove the Theorem~\ref{thmD} that has been proved Kumar~\cite[Theorem 2.4]{Kumar2}. Finally, some examples of harmonic univalent mappings convex in the horizontal direction are also constructed to illuminate our main results.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research