Janowski close-to-convexity harmonic mappings

Authors

BUSHRA ARIFFollow
JACEK DZIOKFollow
WASIM UL HAQFollow
MOHSAN RAZAFollow

Author ORCID Identifier

BUSHRA ARIF: 0009-0009-5266-7900

JACEK DZIOK: 0000-0003-1482-1080

WASIM HAQ: 0000-0001-7148-1890

MOHSAN RAZA: 0000-0001-7466-7930

Abstract

In the present work we introduce harmonic univalent functions related to Janowski close-to-convexity and we provide their necessary and sufficient criteria. The extreme points and topological features of such harmonic mappings will also be investigated. By applying extreme points theory, we obtain integral mean inequalities, distortion theorems, and coefficient estimates for families of harmonic functions.

DOI

10.55730/1300-0098.3605

Keywords

Harmonic function, Janowski function, starlike function, close-to-convex function, extreme points

First Page

535

Last Page

544

Publisher

The Scientific and Technological Research Council of Türkiye (TÜBİTAK)

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Recommended Citation

ARIF, B, DZIOK, J, HAQ, W. U, & RAZA, M (2025). Janowski close-to-convexity harmonic mappings. Turkish Journal of Mathematics 49 (4): 535-544. https://doi.org/10.55730/1300-0098.3605