Sufficient conditions for p-valent functions

References

[1] Abdullah, A.—Arif, M.—Alghamdi, M. A.—Hussain, S.: Starlikness associated with cosine hyperbolic function, Mathematics 8 (2020), Art. ID 1118.10.3390/math8071118Search in Google Scholar

[2] Ali, R. M.—Cho, N. E.—Ravichandran, V.—Kumar, S. S.: Differential subordination for functions associated with the lemniscate of Bernoulli's, Taiwanese J. Math. 16 (2012), 1017–1026.10.11650/twjm/1500406676Search in Google Scholar

[3] Arif, M.—Ahmad, K.—Liu, J.-L.—Sokół, J.: A new class of analytic functions associated with Salagean operator, J. Func. Spaces 2019 (2019), Art. ID 5157394.10.1155/2019/6157394Search in Google Scholar

[4] Bano, K.—Raza, M.: Starlike functions associated with cosine functions, Bull. Iran. Math. Soc. (2020), https://doi.org/10.1007/s41980-020-00456-9.10.1007/s41980-020-00456-9Search in Google Scholar

[5] Cho, N. E.—Kumar, V.—Kumar, S. S.—Ravichadran, V.: Radius problems for starlike functions associated with the sine function, Bull. Iran. Math. Soc. 45 (2019), 213–232.10.1007/s41980-018-0127-5Search in Google Scholar

[6] Cho, N. E.—Kumar, S.—Kumar, V.—Ravichandran, V.—Srivastava, H. M.: Starlike functions related to the Bell numbers, Symmetry 11 (2019), Art. ID 219.10.3390/sym11020219Search in Google Scholar

[7] Dziok, J.—Raina, R. K.—Sokół, J.: On a class of starlike functions related to a shell-like curve connected with Fibonacci numbers, Math. Comp. Model. 57 (2013), 1203–1211.10.1016/j.mcm.2012.10.023Search in Google Scholar

[8] Haq, M.—Raza, M.—Arif, M.—Khan, Q.—Tang, H.: q-analogue of differential subordinations, Mathematics 7 (2019), Art. ID 724.10.3390/math7080724Search in Google Scholar

[9] Hayman, W. H.: Multivalent Functions, 2nd edition, Cambridge Univ. Press, 1994.10.1017/CBO9780511526268Search in Google Scholar

[10] Jack, I. S.: Functions starlike and convex of order alpha, J. London Math. Soc. 2 (1971), 469–474.10.1112/jlms/s2-3.3.469Search in Google Scholar

[11] Janowski, W.: Extremal problems for a family of functions with positive real part and for some related families, Ann. Polon. Math. 23 (1970), 159–177.10.4064/ap-23-2-159-177Search in Google Scholar

[12] Kanas, S.—Răducano, D.: Some class of analytic functions related to conic domains, Math. Slovaca 64 (2014), 1183–1196.10.2478/s12175-014-0268-9Search in Google Scholar

[13] Kargar, R.—Ebadian, A.—Sokół, J.: On Booth lemniscate and starlike functions, Anal. Math. Phy. 9 (2019), 143–154.10.1007/s13324-017-0187-3Search in Google Scholar

[14] Kumar, S. S.—Kumar, V.—Ravichandran, V.—Cho, N. E.: Sufficient conditions for starlike functions associated with the lemniscate of Bernoulli, J. Ineq. Appl. 2013 (2013), Art. ID 176.10.1186/1029-242X-2013-176Search in Google Scholar

[15] Kumar, S.—Ravichandran, V.: A subclass of starlike functions associated with a rational function, Southeast Asian Bull. Math. 40 (2016), 199–212.Search in Google Scholar

[16] Kumar, S.—Ravichandran, V.: Subordinations for functions with positive real part, Complex Anal. Oper. Theory 12 (2018), 1179–1191.10.1007/s11785-017-0690-4Search in Google Scholar

[17] Ma, W.—Minda, D.: A unified treatment of some special classes of univalent functions. In: Proceeding of the Conference on Complex Analysis (Z. Li, F. Ren, L. Yang and S. Zhang, eds.), Int. Press, 1994, pp. 157–169.Search in Google Scholar

[18] Mendiratta, R.—Nagpal, S.—Ravichandran, V.: On a subclass of strongly starlike functions associated with exponential function, Bull. Malays. Math. Sci. Soc. 38 (2015), 365–386.10.1007/s40840-014-0026-8Search in Google Scholar

[19] Noor, K. I.—Arif, M.: Mapping properties of an integral operator, Appl. Math. Lett. 25 (2012), 1826–1829.10.1016/j.aml.2012.02.030Search in Google Scholar

[20] Paprocki, E.—Sokół, J.: The extremal problems in some subclass of strongly starlike functions, Folia Scient. Univ. Techn. Resoviensis 157 (1996), 89–94.Search in Google Scholar

[21] Raina, R. K.—Sokół, J.: On coefficient estimates for a certain class of starlike functions, Hacet. J. Math. Stat. 44 (2015), 1427–1433.10.15672/HJMS.2015449676Search in Google Scholar

[22] Raza, M.—Sokół, J.—Mushtaq, S.: Differential subordinations for analytic functions, Iran. J. Sci. Tech. Trans. A 43 (2019), 883–890.10.1007/s40995-017-0430-7Search in Google Scholar

[23] Sharma, K.—Jain, N. K.—Ravichandran, V.: Starlike functions associated with a cardioid, Afr. Mat. 27 (2016), 923–939.10.1007/s13370-015-0387-7Search in Google Scholar

[24] Sharma, K.—Ravichandran, V.: Applications of subordination theory to starlike functions, Bull. Iran. Math. Soc. 42 (2016), 761–777.Search in Google Scholar

[25] Shi, L.—Ali, I.—Arif, M.—Cho, N. E.—Hussain, S.—Khan, H.: A study of third Hankel determinant problem for certain subfamilies of analytic functions involving cardioid domain, Mathematics 7 (2019), Art. ID 418.10.3390/math7050418Search in Google Scholar

[26] Shi, L.—Srivastava, H. M.—Arif, M.—Hussain, S.—Khan, H.: An investigation of the third Hankel determinant problem for certain subfamilies of univalent functions involving the exponential function, Symmetry 11 (2019), Art. ID 598.10.3390/sym11050598Search in Google Scholar

[27] Sokół, J.—Stankiewicz, J.: Radius of convexity of some subclasses of strongly starlike functions, Zeszyty Nauk. Politech. Rzeszowskiej Mat. 19 (1996), 101–105.Search in Google Scholar