PRACHI PRAJNA DASH

@jainuniversity.ac.in

Assistant Professor in the Department of Data Analysis and Mathematical Sciences
JAIN DEEMED-TO-BE UNIVERSITY, BENGALURU

PRACHI PRAJNA DASH

RESEARCH, TEACHING, or OTHER INTERESTS

Analysis, Mathematics
4

Scopus Publications

3

Scholar Citations

1

Scholar h-index

Scopus Publications

  • Radii for sections of functions convex in one direction
    Prachi Prajna Dash, Jugal Kishore Prajapat, Naveen Kumari
    Afrika Matematika, 2025
  • 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.
  • Certain characterization properties of the Laguerre polynomials
    Jugal Kishore Prajapat, Prachi Prajna Dash, Anisha Sheshma, Ravinder Krishna Raina
    Journal of Analysis, 2024
  • 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