참고문헌
- K. Ademogullari and Y. Kahramaner, q-harmonic mappings for which analytic part is q-convex function, Nonlinear Anal. Diff. Eqns. 4(2016), 283-293.
- M.H. Ismail, E. Merkes and D. styer, A generalization of starlike functions, Complex Var. Elliptic Eqns. 14(1990), 77-84.
- F.H. Jackson, On q-functions and certain difference operators, Trans. Roy. Soc. Edinburgh 46(1909), 253-281.
- F.H. Jackson, On q-definite integrals, Q. J. Math. 41(1910), 193-203.
-
S.S. Miller, P.T. Mocanu and M.O. Reade, All
${\alpha}$ -convex functions are starlike, Proc. Amer. Math. Soc. 37(1973), 553-554. - A. Muhammad and M. Darus, A generalized operator involving the q-hyperbolic functions, Mat. Vesnik 65(2013), 454-465.
- K.I. Noor, On generalized q-close-to-convexity, Appl. Math. Inform. Sci. 11(5) (2017), 13831388 https://doi.org/10.18576/amis/110515
- K.I. Noor, On generalized q-Bazilevic functions, J. Adv. Math. Stud. 10(2017), 418-424.
- K.I. Noor and S. Riaz, Generalized q-starlike functions, Studia Sci. Hungar. 54(4)(2017), 509-522.
- K.I. Noor, S. Riaz and M.A. Noor, On q-Bernardi integral opertaor, TWMS J. Pure Appl, Math. 8(1)(2017), 3-11.
- K.I. Noor and M.A. Noor, Linear combinations of generalized q-starlike functions, Appl. Math. Info. Sci. 11(2017), 745-748. https://doi.org/10.18576/amis/110314
- S.K. Sahoo and N.L. Sharma, On a generalization of close-to-convex functions, arXiv:1404.3268 [math. CV], 14 pp. https://doi.org/10.4064/ap113-1-6
- H.E.O. Ucar, Coefficeient inequality for q-starlike functions, Appl. Math. Comput. 276(2016), 122-126.