[1] |
F, On \(q\)-definite integrals, Q. J. Pure Appl. Math., 41, 193-203 (1910) · JFM 41.0317.04 |
[2] |
A, Generalized \(q\)-Baskakov operators, Math. Slovaca, 61, 619-634 (2011) · Zbl 1265.41050 |
[3] |
A, On \(q\)-Baskakov type operators, Demonstr. Math., 42, 109-122 (2009) · Zbl 1176.41028 |
[4] |
A, On the generalized Picard and Gauss Weierstrass singular integrals, J. Compu. Anal. Appl, 8, 249-261 (2006) · Zbl 1099.41012 |
[5] |
G, Geometric and approximation properties of generalized singular integrals, J. Korean Math. Soci., 23, 425-443 (2006) · Zbl 1107.30029 |
[6] |
S, Some class of analytic functions related to conic domains, Math. Slovaca, 64, 1183-1196 (2014) · Zbl 1349.30054 |
[7] |
H. Aldweby, M. Darus, Some subordination results on \(q\)-analogue of Ruscheweyh differential operator, <i>Abstr. Appl. Anal.</i>, (2014), Article ID 958563. · Zbl 1474.30044 |
[8] |
S, New subclass of analytic functions in conical domain associated with Ruscheweyh \(q\)-differential operator, Res. Math., 71, 1345-1357 (2017) · Zbl 1376.30008 · doi:10.1007/s00025-016-0592-1 |
[9] |
T. M. Seoudy, M. K. Aouf, Convolution properties for certain classes of analytic functions defined by \(q\)-derivative operator, <i>Abstr. Appl. Anal.</i>, (2014), Article ID 846719. · Zbl 1474.30117 |
[10] |
T, Coefficient estimates of new classes of \(q\)-starlike and \(q\)-convex functions of complex order, J. Math. Inequal., 10, 135-145 (2016) · Zbl 1333.30027 |
[11] |
C, New subclasses of analytic function associated with \(q\)-difference operator, Eur. J. Pure Appl. Math., 10, 348-362 (2017) · Zbl 1361.30029 |
[12] |
S. Kavitha, N. E. Cho, G. Murugusundaramoorthy, <i>On \((p, q)\)-Quantum Calculus Involving Quasi-Subordination, Trend in mathematics, Advance in Algebra and Analysis International Conference on Advance in Mathematical Sciences</i>, Vellore, India, December 2017, Vol. 1,215-223. · Zbl 1502.30049 |
[13] |
B, A subordination results for a class of analytic functions defined by \(q\)-differential operator, Ann. Univ. Paedagog. Crac. Stud. Math., 19, 53-64 (2020) · Zbl 1524.30045 |
[14] |
B, A study of some families of multivalent q-starlike functions involving higher-order q-derivatives, Mathematics, 8, 1-12 (2020) |
[15] |
H, Fekete-Szego type problems and their applications for a subclass of q-starlike functions with respect to symmetrical points, Mathematics, 8, 1-18 (2020) |
[16] |
M, An upper bound of the third Hankel determinant for a subclass of q-starlike functions associated with k-Fibonacci numbers, Symmetry, 12, 1-17 (2020) |
[17] |
M. G. Khan, B. Ahmad, B. A. Frasin, J. Abdel, On Janowski analytic (p; q)-starlike functions in symmetric circular domain, <i>J. Funct. Spaces</i>, (2020), Article ID 4257907. · Zbl 1451.30032 |
[18] |
M, Some Janowski type Harmonic \(q\)-starlike functions associated with symmetric points, Mathematics, 8, Article ID 629 (2020) · doi:10.3390/math8040629 |
[19] |
H, Close-to-convexity of a certain family of \(q\)-Mittag-Leffler functions, J. Nonlinear Var. Anal., 1, 61-69 (2017) · Zbl 1400.30035 |
[20] |
H, Some general families of \(q\)-starlike functions associated with the Janowski functions, Filomat., 33, 2613-2626 (2019) · Zbl 1513.30098 · doi:10.2298/FIL1909613S |
[21] |
M, Generalization of close to convex functions associated with Janowski functions, Maejo Int. J. Sci. Technol., 14, 141-155 (2020) |
[22] |
L, Some geometric properties of a family of analytic functions involving a generalised \(q\)-operator, Symmetry, 12, 1-11 (2020) |
[23] |
S, Q-Extension of starlike functions subordinated with a trignometric sine function, Mathematics, 8, Article ID 1676 (2020) · doi:10.3390/math8101676 |
[24] |
J, Radius of convexity of some subclasses of strongly starlike functions, Zesz. Nauk. Politech. Rzeszowskiej Mat., 19, 101-105 (1996) · Zbl 0880.30014 |
[25] |
J, Radius problem in the class \(\mathcal{SL}^{\ast } \), Appl. Math. Comput., 214, 569-573 (2009) · Zbl 1170.30005 |
[26] |
S, Applications of certain functions associated with lemniscate Bernoulli, J. Indones. Math. Soc., 18, 93-99 (2012) · Zbl 1283.30025 |
[27] |
R, First order differential subordination for functions associated with the lemniscate of Bernoulli, Taiwan. J. Math., 16, 1017-1026 (2012) · Zbl 1246.30034 · doi:10.11650/twjm/1500406676 |
[28] |
J, Coefficient estimates in a class of strongly starlike functions, Kyungpook Math. J., 49, 349-353 (2009) · Zbl 1176.30068 · doi:10.5666/KMJ.2009.49.2.349 |
[29] |
M; Fekete; G., Eine Bemerkung über ungerade schlichte Funktionen, J. Lond. Math. Soc., 8, 85-89 (1933) · JFM 59.0347.04 |
[30] |
A, The Fekete-Szegö inequality for complex parameters, Complex Var. Theory Appl., 7, 149-160 (1986) · Zbl 0553.30002 |
[31] |
F, A coefficient inequality for certain classes of analytic functions, Proc. Am. Math. Soc., 20, 8-12 (1969) · Zbl 0165.09102 · doi:10.1090/S0002-9939-1969-0232926-9 |
[32] |
W, An internal geometric characterization of strongly starlike functions, Ann. Univ. Mariae Curie-Sklodowska, Sect. A., 45, 89-97 (1991) · Zbl 0766.30008 |
[33] |
W. Ma, D. Minda, Coefficient inequalities for strongly close-to-convex functions, <i>J. Math. Anal. Appl.</i>, <b>205</b>, 537-553. · Zbl 0871.30022 |
[34] |
W, Extremal problems for a family of functions with positive real part and for some related families, Ann. Polon. Math., 23, 159-177 (1970) · Zbl 0199.39901 · doi:10.4064/ap-23-2-159-177 |
[35] |
W. Ma, D. Minda, A unified treatment of some special classes of univalent functions, In: Z. Li, F. Ren, L. Yang, S. Zhang (eds.), <i>Proceeding of the conference on Complex Analysis</i>, (Tianjin, \(1992)\), Int. Press, Cambridge, 1994,157-169. · Zbl 0823.30007 |
[36] |
K, q-harmonic mappings for which analytic part is \(q\)-convex functions, Nonlinear Anal. Di. Eqns., 4, 283-293 (2016) |