Volume 49 | Number 4 | Year 2017 | Article Id. IJMTT-V49P536 | DOI : https://doi.org/10.14445/22315373/IJMTT-V49P536
In this paper, we introduce a new subclass of ϕ -like functions and derive certain Sandwich type results that unify the work of earlier researchers.
[1] R.M. Ali, V. Ravichandran, M. Hussain Khan, K.G. Subramanian, Differential Sandwich Theorems for Certain Analytic Functions, Far East J. Math. Sci., 15 (1), (2004), 87-94.
[2] R.M. Ali, N.E. Cho, Oh Sang Kwon, V. Ravichandran, A First Order Differential Double Subordination with Applications, Applied Mathematics Letters, 25, (2012), 268-274.
[3] L. Brickman,ϕ-like analytic functions I, Bull. Amer. Math. Soc. 79, (1973), 555-558.
[4] T. Bulboaca, Classes of first order differential superordinations, Demonstr. Math., 35 (2), (2002), 287-292.
[5] A.W. Goodman, Univalent Functions, Polygonal. Publ. Co. Inc., Washington, N.J., 1983.
[6] M. Kamali and H.M. Srivastava, A Sufficient Condition for Starlikeness of Analytic Functions of Koebe type, JIPAM, J. Inequal. Pure Appl. Math., 5 (3), (2004), 1-8.
[7] S.S. Miller and P.T. Mocanu, Differential Subordinations Theory and Applications, Series on monographs and text books in pure and applied mathematics, No.225), (2000), Marcel Dekker, New York and Basel.
[8] S.S. Miller and P.T. Mocanu, Subordinants of Differential Superordinations, Complex Variables Theory Appl.48 (10), (2003), 815-826.
[9] M. Nunokawa, S. Owa, S.K. Lee, M. Obradovic, M.K. Aouf, H. Saitoh, A. Ikeda, N. Koike, Sufficient Condition for Starlikeness, Chinese J. Math., 24 (1996), 265-271.
[10] Oh Sang Kwon, Sufficient Condition for Starlikeness and Strongly starlikeness, Commun. Korean. Math. Soc., 22 (1), (2007), 19-26.
[11] C. Ramesha, S. Kumar, K.S. Padmanabhan, A sufficient condition for starlikeness, Chinese J. Math., 23, (1995), 167-171.
[12] V. Ravichandran, N. Magesh, R. Rajalakshmi, On Certain Applications of Differential Subordinations for ϕ-like functions, Tamkang J. Math., 36 (2), (2005), 137-142.
[13] V. Ravichandran and M. Jayamala, On Sufficient Conditions for Caratheodary functions, Far East J. Math. Sci., 12 (2), (2004), 191-201.
[14] St. Ruscheweyh, A subordination theorem for ϕ-like functions, J. London. Math. Soc., 13(2), (1976), 275-280.
[15] S. Singh and S. Gupta, Some applications of first order differential subordination, J. Inequal. Pure Appl. Math., 5 (3), (2004), 1-15.
[16] S. Siregar, Ajab Akbarally, Certain Conditions for Starlikeness of ϕ-like functions of Koebe type, AIP Conf.Proc.1605, (2014), 596-600.
[17] Sukhwinder Singh Billing, Differential sandwich type results for starlike functions, Scientia Magna, 9 (2), (2013), 30-40.
R.B.Sharma, K.Ganesh, "Sandwich Type of Results for ϕ -like Functions using Subordination," International Journal of Mathematics Trends and Technology (IJMTT), vol. 49, no. 4, pp. 243-247, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V49P536