On classes of ζ-uniformly q-analogue of analytic functions with some subordination results

References

• Alexander JW. Functions which map the interior of the unit circle upon simple regions. Ann Math. 1915;17(1):12–22. doi: 10.2307/2007212
   Google Scholar
• Nasr MA, Aouf MK. Starlike function of complex order. J Natur Sci Math. 1985;25(2):1–12.
   Google Scholar
• Wiatrowski P. The coefficients of a certain family of holomorphic functions. Zeszyt Nauk Univ Lodz Nauki Mat Przyrod Ser II Zeszyt. 1971;39(2):75–85.
   Google Scholar
• Shams S, Kulkarni SR, Jahangiri JM. Classes of uniformly starlike and convex functions. Int J Math Math Sci. 2004;2004:2959–2961. doi: 10.1155/S0161171204402014Article ID 401980.
   Google Scholar
• Bharati R, Parvatham R, Swaminathan A. On subclasses of uniformly convex functions and corresponding class of starlike functions. Tamkang J Math. 1997;28(1):17–32. doi: 10.5556/j.tkjm.28.1997.4330
   Google Scholar
• Hussain S, Rasheed A, Darus M. A subclasses of analytic functions related to k-uniformly convex and starlike functions. J Funct Spaces. 2017;2017:1–7. Article ID 9010964. doi: 10.1155/2017/9010964
   Web of Science ®Google Scholar
• Kanas S, Raducanu D. Some subclass of analytic functions related to conic domains. Math Slovaca. 2014;64(5):1183–1196. doi: 10.2478/s12175-014-0268-9
   Web of Science ®Google Scholar
• Kanas S, Wis˘niowska A. Conic regions and k-uniform convexity, II. Folia Sci Tech Resov. 1998;170(1-2):65–78.
   Google Scholar
• Kanas S, Srivastava HM. Linear operators associated with k-uniformly convex functions. Integral Transform Spec Funct. 2000;9(2):121–132. doi: 10.1080/10652460008819249
   Web of Science ®Google Scholar
• Khan MG, Mashwani WK, Shi L, et al. Hankel inequalities for bounded turning functions in the domain of cosine hyperbolic function. AIMS Math. 2023;8(9):21993–22008. doi: 10.3934/math.20231121
   Web of Science ®Google Scholar
• Jackson FH. On q-difference equations. Am J Math. 1910;32(4):305–314. doi: 10.2307/2370183
   Google Scholar
• Alatawi A, Darus M, Alamri B. Applications of Gegenbauer polynomials for subfamilies of bi-univalent functions involving a Borel distribution-type Mittag–Leffler function. Symmetry. 2023;15(4):785. doi: 10.3390/sym15040785
   Google Scholar
• Altınkaya Ş. On the inclusion properties for ζ-spirallike functions involving both Mittag–Leffler and Wright function. Turk J Math. 2022;46(3):1119–1131. doi: 10.55730/1300-0098.3147
   Web of Science ®Google Scholar
• Hadi SH, Darus M. Differential subordination and superordination of a q-derivative operator connected with the q-exponential function. Int J Nonlinear Anal Appl. 2022;13(2):2795–2806.
   Google Scholar
• Hadi SH, Darus M. (p,q)-Chebyshev polynomials for the families of biunivalent function associating a new integral operator with (p,q)-Hurwitz zeta function. Turk J Math. 2022;46(6):2415–2429. doi: 10.55730/1300-0098.3277
   Web of Science ®Google Scholar
• Hadi SH, Darus M. Partial sums of a generalized q-differential operator. AIP Conf Proc. 2024;2905:070002. doi: 10.1063/5.0172085
   Google Scholar
• Ibrahim M, Karthikeyan KR. Subclasses of analytic functions with respect to symmetric and conjugate points defined using q-differential operator. IJAEMA. 2020;12(7):1719–1729.
   Google Scholar
• Ibrahim M, Senguttuvan A, Mohankumar D, et al. On classes of Janowski functions of complex order involving a q-derivative operator. Inter J Math Comput Sci. 2020;15(4):1161–1172.
   Web of Science ®Google Scholar
• Ibrahim M, Karthikeyan KR, Srinevasan K. Coefficient inequalities of a subclass of analytic functions defined using q-differential operator. Int J Innov Technol Explor Eng. 2019;8(7):1098–1101.
   Google Scholar
• Ibrahim M, Karthikeyan KR, Srinevasan K. Fractional class of analytic functions defined using q-differential operator. Aust J Math Anal Appl. 2018;15(1):1-15.
   Google Scholar
• Hadi SH, Darus M, Park CVB. Some geometric properties of multivalent functions associated with a new generalized q-Mittag-Leffler function. AIMS Math. 2022;7(7):11772–11783. doi: 10.3934/math.2022656
   Web of Science ®Google Scholar
• Ismail MEH, Merkes E, Styer D. A generalization of starlike functions. Complex Var Theory Appl Int J. 1990;14(1-4):77–84.
   Google Scholar
• Alatawi A, Darus M. Partial sums and neighborhoods of Janowski-type subclasses of meromorphic functions. Korean J Math. 2023;31(3):259–267.
   Web of Science ®Google Scholar
• El-Deeb SM, Bulboacă T. Differential sandwich-type results for symmetric functions connected with a Q-analog integral operator. Mathematics. 2019;7(12):1185. doi: 10.3390/math7121185
   Web of Science ®Google Scholar
• Frasin BA, Murugusundaramoorthy G. A subordination results for a class of analytic functions defined by q-differential operator. Ann Univ Paedagog Crac Stud Math. 2020;19(1):53–64.
   Google Scholar
• Murugusundaramoorthy G, Rosy T, Darus M. A subclass of uniformly convex functions associated with certain fractional calculus operators. J Ineq Pure App Math. 2005;6(3):86.
   Google Scholar
• Shah SANKI. Study on the q-analogue of a certain family of linear operators. Turk J Math. 2019;43(6):2707–2714. doi: 10.3906/mat-1907-41
   Web of Science ®Google Scholar
• Shamsan H, Latha S. On generalized bounded Mocanu variation related to q-derivative and conic regions. Ann Pure App Math. 2018;17(1):67–83.
   Google Scholar
• Srivastava HM, Tahir M, Khan B, et al. Some general families of q-starlike functions associated with the Janowski functions. Filomat. 2019;33(9):2613–2626. doi: 10.2298/FIL1909613S
   Web of Science ®Google Scholar
• Srivastava HM, Shaba TG, Murugusundaramoorthy G, et al. The Fekete–Szegö functional and the Hankel determinant for a certain class of analytic functions involving the Hohlov operator. AIMS Math. 2023;8(1):340–360. doi: 10.3934/math.2023016
   Web of Science ®Google Scholar
• Srivastava HM, Mostafa AO, Aouf MK, et al. Basic and fractional q-calculus and associated Fekete–Szegö problem for p-valently q-starlike functions and p-valently q-convex functions of complex order. Miskolc Math Notes. 2019;20(1):489–509. doi: 10.18514/MMN.2019.2405
   Web of Science ®Google Scholar
• Srivastava HM, Kamali M, Urdaletova A. A study of the Fekete–Szegö functional and coefficient estimates for subclasses of analytic functions satisfying a certain subordination condition and associated with the Gegenbauer polynomials. AIMS Math. 2022;7(2):2568–2584. doi: 10.3934/math.2022144
   Web of Science ®Google Scholar
• AbuJarad ESA, AbuJarad MHA, Abdeljawad T, et al. Certain subclasses of ζ-uniformly q-starlike and ζ-uniformly q-convex functions. J Funct Spaces. 2020;2020:5865416.
   Web of Science ®Google Scholar
• Aouf MK, Mostafa AO. Some subordinating results for classes of functions defined by Sălăgean type q-derivative operator. Filomat. 2020;34(7):2283–2292. doi: 10.2298/FIL2007283A
   Web of Science ®Google Scholar
• Çetinkaya A. k-Uniformly multivalent functions involving Liu–Owa q-integral operator. Turk J Math. 2022;46(1):24–35.
   Web of Science ®Google Scholar
• El-Deeb SM, Murugusundaramoorthy G. Applications on a subclass of ζ-uniformly starlike functions connected with q-Borel distribution. Asian-Eur J Math. 2022;15(8):1–20. doi: 10.1142/S1793557122501583
   Google Scholar
• Srivastava HM, Hadi SH, Darus M. Some subclasses of p-valent ρ-uniformly type q-starlike and q-convex functions defined by using a certain generalized q-Bernardi integral operator. Rev Real Acad Cienc Exactas Fis Nat Ser A-Mat. 2023;117:50. doi: 10.1007/s13398-022-01378-3
   Google Scholar
• Mahmood S, Raza N, Abujarad ESA, et al. Geometric properties of certain classes of analytic functions associated with a q-integral operator. Symmetry. 2019;11(5):1–14. doi: 10.3390/sym11050719
   Google Scholar
• Seoudy TM, Aouf MK. Coefficient estimates of new classes of q-starlike and q-convex functions of complex order. J Math Inequl. 2016;10(1):135–145. doi: 10.7153/jmi-10-11
   Web of Science ®Google Scholar
• Littlewoods JE. On inequalities in theory of functions. Proc London Math Soc. 1925;s2-23:481–519. doi: 10.1112/plms/s2-23.1.481
   Google Scholar
• Wilf HS. Subordinating factor sequences for convex maps of the unit circle. Proc Amer Math Soc. 1961;12:689–693. doi: 10.1090/S0002-9939-1961-0125214-5
   Google Scholar