Theses:
A Study of Geometric Properties of Univalent, Bi-univalent and Multivalent Functions
M.Phil. thesis under the supervision of Dr. Pranay Goswami (submitted on 12th July 2019 & defended on 11th Nov 2019)
A Study of generalisation of p-Frames in Banach Spaces
M.Sc. thesis under the supervision of Dr. Shashank Goel (submitted on 31st May 2016 & defended on 5th June 2016)
Publication(s):
Sharp Bohr-type inequalities for certain classes of close-to-convex functions (with N. K. Jain, submitted)
doi.org/10.48550/arXiv.2605.22930
Rana, S., Jain, N.K. Improved Bohr phenomenon for certain classes of analytic functions. J. Anal. 34 (2026), no. 2, 1143-1162.
doi:10.1007/s41478-025-00994-7
Rana S, Ahuja OP, Jain NK. Radii of Starlikeness of Ratios of Analytic Functions with Fixed Second Coefficients. Mathematics. 2022; 10(23):4428.
Shalini Rana, Pranay Goswami, Ravi Shanker Dubey. The norm of pre-Schwarzian derivative on subclasses of bi-univalent functions. AIMS Mathematics, 2018, 3(4): 600-607.