1 |
G. M. Goluzin, On the majorization principle in function theory, Dokl. Akad. Nauk. SSSR, 42(1935), 647-650.
|
2 |
A. Gori and F. Vlacci, Starlikeness for functions of a hypercomplex variable, Proc. Amer. Math. Soc., 145(2)(2017), 791-804.
|
3 |
S. Hussain, Z. Shareef and M. Darus, On a class of functions associated with Salagean operator, Rev. R. Acad. Cienc. Exactas Fis. Nat. Ser. A Math. RACSAM, 111(1)(2017), 213-222.
|
4 |
W. Janowski, Extremal problems for a family of functions with positive real part and for some related families, Ann. Polon. Math., 23(1970/1971), 159-177.
|
5 |
S. Kumar and V. Ravichandran, A subclass of starlike functions associated with a rational function, Southeast Asian Bull. Math., 40(2)(2016), 199-212.
|
6 |
S. Kumar and V. Ravichandran, Subordinations for functions with positive real part, Complex Anal. Oper. Theory, 2017. https://doi.org/10.1007/s11785-017-0690-4
DOI
|
7 |
W. C. Ma and D. Minda, A unified treatment of some special classes of univalent functions, in Proceedings of the Conference on Complex Analysis (Tianjin, 1992), 157-169, Conf. Proc. Lecture Notes Anal., I, Int. Press, Cambridge, MA.
|
8 |
R. Mendiratta, S. Nagpal, and V. Ravichandran, On a subclass of strongly star-like functions associated with exponential function, Bull. Malays. Math. Sci. Soc., 38(1)(2015), 365-386.
DOI
|
9 |
S. S. Miller and P. T. Mocanu, On some classes of first-order differential subordinations, Michigan Math. J., 32(2)(1985), 185-195.
DOI
|
10 |
S. S. Miller and P. T. Mocanu, Differential Subordinations, Dekker, New York, 2000.
|
11 |
P. L. Duren, Univalent Functions, Fundamental Principles of Mathematical Sciences 259, Springer, New York, 1983.
|
12 |
T. N. Shanmugam, Convolution and differential subordination, Internat. J. Math. Math. Sci., 12(2)(1989), 333-340.
DOI
|
13 |
M. Nunokawa, M. Obradovic and S. Owa, One criterion for univalency, Proc. Amer. Math. Soc., 106(4)(1989), 1035-1037.
|
14 |
M. Nunokawa, S. Owa, N. Takahashi and H. Saitoh, Sufficient conditions for Caratheodory functions, Indian J. Pure Appl. Math., 33(9)(2002), 1385-1390.
|
15 |
K. S. Padmanabhan and R. Parvatham, Some applications of differential subordination, Bull. Austral. Math. Soc., 32(3)(1985), 321-330.
DOI
|
16 |
R. K. Raina and J. Soko l, On coefficient estimates for a certain class of starlike functions, Hacet. J. Math. Stat., 44(6)(2015), 1427-1433.
|
17 |
V. Ravichandran and K. Sharma, Sufficient conditions for starlikeness, J. Korean Math. Soc., 52(4)(2015), 727-749.
DOI
|
18 |
K. Sharma, N. K. Jain and V. Ravichandran, Starlike functions associated with a cardioid, Afr. Mat., 27(5-6)(2016), 923-939.
DOI
|
19 |
S. Sivaprasad Kumar, V. Kumar, V. Ravichandran and N. E. Cho, Sufficient conditions for starlike functions associated with the lemniscate of Bernoulli, J. Inequal. Appl., 2013(176)(2013), 13 pp.
DOI
|
20 |
J. Soko l and J. Stankiewicz, Radius of convexity of some subclasses of strongly starlike functions, Zeszyty Nauk. Politech. Rzeszowskiej Mat., 19(1996), 101-105.
|
21 |
N. Tuneski, T. Bulboaca, and B. Jolevska-Tunesk, Sharp results on linear combination of simple expressions of analytic functions, Hacet. J. Math. Stat., 45(1)(2016), 121-128.
|
22 |
N. E. Cho, V. Kumar, S. Sivaprasad Kumar and V. Ravichandran, Radius problems for starlike functions associated with sine function, preprint.
|
23 |
R. M. Ali, N. E. Cho, V. Ravichandran and S. S. Kumar, Differential subordination for functions associated with the lemniscate of Bernoulli, Taiwanese J. Math., 16(3)(2012), 1017-1026.
DOI
|
24 |
R. M. Ali, V. Ravichandran and N. Seenivasagan, Sufficient conditions for Janowski starlikeness, Int. J. Math. Math. Sci., 2007(2007), Art. ID 62925, 7 pp.
|
25 |
A. A. Attiya and M. F. Yassen, Majorization for some classes of analytic functions associated with the Srivastava-Attiya operator, Filomat, 30(7)(2016), 2067-2074.
DOI
|
26 |
N. E. Cho, H. J. Lee, J. H. Park and R. Srivastava, Some applications of the first-order differential subordinations, Filomat, 30(6)(2016), 1465-1474.
DOI
|