A subclass of starlike functions associated with left-half of the lemniscate of Bernoulli Rajni Mendiratta, Sumit Nagpal, V. Ravichandran International Journal of Mathematics, 2014 Let [Formula: see text] denote the class of all analytic functions f in the open unit disk with the normalizations f(0) = f′(0) - 1 = 0 such that zf′(z)/f(z) lies in the interior of the left-half of the shifted lemniscate of Bernoulli [Formula: see text]. In this paper, we investigate the geometric properties of functions in this class and compute the [Formula: see text]-radius for functions belonging to several interesting classes.
RECENT SCHOLAR PUBLICATIONS
Second-order differential superordination for analytic functions with fixed initial coefficient R Mendiratta, S Nagpal, V Ravichandran Southeast Asian Bull. Math 39 (6), 851-864 , 2015 2015 Citations: 7
Radii of starlikeness and convexity for analytic functions with fixed second coefficient satisfying certain coefficient inequalities R Mendiratta, S Nagpal, V Ravichandran Kyungpook Mathematical Journal 55 (2), 395-410 , 2015 2015 Citations: 13
On a subclass of strongly starlike functions associated with exponential function R Mendiratta, S Nagpal, V Ravichandran Bulletin of the Malaysian Mathematical Sciences Society 38 (1), 365-386 , 2015 2015 Citations: 423
A subclass of starlike functions associated with left-half of the lemniscate of Bernoulli R Mendiratta, S Nagpal, V Ravichandran International Journal of Mathematics 25 (09), 1450090 , 2014 2014 Citations: 106
Livingston problem for close-to-convex functions with fixed second coefficient R Mendiratta, V Ravichandran Jnanabha 43, 107-122 , 2013 2013 Citations: 4
MOST CITED SCHOLAR PUBLICATIONS
On a subclass of strongly starlike functions associated with exponential function R Mendiratta, S Nagpal, V Ravichandran Bulletin of the Malaysian Mathematical Sciences Society 38 (1), 365-386 , 2015 2015 Citations: 423
A subclass of starlike functions associated with left-half of the lemniscate of Bernoulli R Mendiratta, S Nagpal, V Ravichandran International Journal of Mathematics 25 (09), 1450090 , 2014 2014 Citations: 106
Radii of starlikeness and convexity for analytic functions with fixed second coefficient satisfying certain coefficient inequalities R Mendiratta, S Nagpal, V Ravichandran Kyungpook Mathematical Journal 55 (2), 395-410 , 2015 2015 Citations: 13
Second-order differential superordination for analytic functions with fixed initial coefficient R Mendiratta, S Nagpal, V Ravichandran Southeast Asian Bull. Math 39 (6), 851-864 , 2015 2015 Citations: 7
Livingston problem for close-to-convex functions with fixed second coefficient R Mendiratta, V Ravichandran Jnanabha 43, 107-122 , 2013 2013 Citations: 4
Publications
1. Modern trends in Mathematics :- Shodh Sarita_Approved UGC care, Vol 6(24), 2019
2.Conditions of Risk and Uncertainity :- Shodh Sarita _Approved UGC care -Vol 7(28), 2020
3. Women Empowerment : A case study of Lijjat Papad "We have come far since Pre-Independence" :- Shodh Sanchar Bulletin-Approved UGC care-Vol10(38),2020
4. SEWA- Journey of Self-reliance of women in unorganised sector in India- IJCRT (Peer Reviewed), Vol 14(1), 2026
5. Baudhayana Theorem to Zariski Cancellation Problem - IOSR Journal of Mathematics, Vol. 21(5),(2025)
6.Livingston Problem for close-to-convex functions with fixed second coefficient-Jnanabha, Vol. 43 (2013)
7.Second-Order Differential Superordination for Analytic Functions With Fixed Initial Coefficient-Southeast Asian Bulletin of Mathematics, (2015)