Certain subclass of harmonic functions associated with univalent functions Prachi Dash, Jugal Prajapat Contemporary Mathematics, 2025 In this paper, we define a subclass of sense-preserving harmonic functions associated with a class of analytic functions satisfying a differential inequality. We then establish a close relation between both subclasses. Further, we obtain some characteristic properties including radius properties, convolution, coefficient estimates and their properties, growth estimates, and convex combination for the functions in the defined subclass. Finally, we obtain conditions for some special functions as well as harmonic univalent polynomials to belong to the defined subclass of harmonic functions.
On a subclass of close-to-convex functions Prachi Prajna Dash, Jugal Kishore Prajapat Asian European Journal of Mathematics, 2024 In this paper, we define a new subclass of close-to-convex functions with respect to certain univalent functions studied by [Z. Peng and G. Zhong, Some properties for certain classes of univalent functions defined by differential inequalities, Acta Math. Sci. Ser. B[Formula: see text]Engl. Ed.[Formula: see text] 37(1) (2017) 69–78]. We find certain examples of functions belong to the class. Further, we give coefficient estimates, distortion theorem and some more results for this new subclass. Finally, we obtain radius of convexity for functions belong to the class.
RECENT SCHOLAR PUBLICATIONS
Radii for sections of functions convex in one direction: PP Dash et al. PP Dash, JK Prajapat, N Kumari Afrika Matematika 36 (3), 147 , 2025 2025
Certain characterization properties of the Laguerre polynomials JK Prajapat, PP Dash, A Sheshma, RK Raina The Journal of Analysis 32 (6), 3139-3154 , 2024 2024 Citations: 2
On a subclass of close-to-convex functions PP Dash, JK Prajapat Asian-European Journal of Mathematics 17 (08), 2450060 , 2024 2024
On certain analytic functions defined by differential inequality PP Dash, JK Prajapat arXiv preprint arXiv:2406.13298 , 2024 2024 Citations: 1
Certain subclass of harmonic functions associated with univalent functions PP Dash, JK Prajapat arXiv preprint arXiv:2406.13311 , 2024 2024
MOST CITED SCHOLAR PUBLICATIONS
Certain characterization properties of the Laguerre polynomials JK Prajapat, PP Dash, A Sheshma, RK Raina The Journal of Analysis 32 (6), 3139-3154 , 2024 2024 Citations: 2
On certain analytic functions defined by differential inequality PP Dash, JK Prajapat arXiv preprint arXiv:2406.13298 , 2024 2024 Citations: 1
Radii for sections of functions convex in one direction: PP Dash et al. PP Dash, JK Prajapat, N Kumari Afrika Matematika 36 (3), 147 , 2025 2025
On a subclass of close-to-convex functions PP Dash, JK Prajapat Asian-European Journal of Mathematics 17 (08), 2450060 , 2024 2024
Certain subclass of harmonic functions associated with univalent functions PP Dash, JK Prajapat arXiv preprint arXiv:2406.13311 , 2024 2024