Abstract
Considering the most recent developments in quantum calculus and its numerous uses in physics and applied mathematics, this topic has inspired and fascinated many investigators in a variety of mathematical areas. The primary goal of the current paper is to investigate majorization issue for a category of q-starlike functions. Moreover, some new consequences of main result, which was stated in the form of corollaries, were presented.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Data Availability
The manuscript has no associate data
References
Adegani, E.A., Alimohammadi, D., Bulboacă, T., Cho, N.E.: Majorization problems for a class of analytic functions defined by subordination. J. Math. Inequal. 16(4), 1259–1274 (2022)
Agrawal, S., Sahoo, S.K.: A generalization of starlike functions of order \(\alpha \). Hokkaido Math. J. 46, 15–27 (2017)
Altinaş, O., Özkan, Ö., Srivastava, H.M.: Majorization by starlike functions. Complex Var. Theory Appl. Int. J. 46, 207–218 (2001)
Al-Shbeil, I., Srivastava, H.M., Arif, M., Haq, M., Khan, N., Khan, B.: Majorization results based upon the bernardi integral operator. Symmetry 14, 1404 (2022)
Bucur, R., Breaz, D.: Properties of a new subclass of analytic functions with negative coefficients defined by using the \(q\)-derivative. Appl. Math. Nonlinear Sci. 5, 303–308 (2020)
Bulut, S., Adegani, E.A., Bulboacă, T.: Majorization results for a general subclass of meromorphic multivalent functions. Politehn. Univ. Bucharest Sci. Bull. Ser. A Appl. Math. Phys. 83(2), 121–128 (2021)
Cho, N.E., Oroujy, Z., Adegani, E.A., Ebadian, A.: Majorization and coefficient problems for a general class of starlike functions. Symmetry 12(3), 476 (2020)
El-Ashwah, R.M., Kota, W.Y., Bulboacă, T.: Inclusion and subordination properties for classes of multivalent functions involving differ-integral operator. Inf. Sci. Lett. 11(1), 47–60 (2022)
Goswami, P., Aouf, M.K.: Majorization properties for certain classes of analytic functions using the Salagean operator. Appl. Math. Lett. 23(11), 1351–1354 (2010)
Goyal, S.P., Goswami, P.: Majorization for certain classes of analytic functions defined by fractional derivatives. Appl. Math. Lett. 22(12), 1855–1858 (2009)
Ismail, M.E.H., Merkes, E., Styer, D.: A generalization of starlike functions. Complex Var. Theory Appl. Int. J. 14, 77–84 (1990)
Khan, N., Arif, M., Darus, M.: Majorization properties for certain subclasses of meromorphic function of complex order. Complexity 2022, 2385739 (2022)
Khan, N., Shafiq, M., Darus, M., Khan, B., Ahmad, Q.Z.: Upper bound of the third Hankel determinant for a subclass of \(q\)-starlike functions associated with lemniscate of Bernoulli. J. Math. Inequal. 14, 51–63 (2020)
MacGreogor, T.H.: Majorization by univalent functions. Duke Math. J. 34, 95–102 (1967)
Hameed Mohammed, N., Adegani, E.A., Bulboacă, T., Cho, N.E.: A family of holomorphic functions defined by differential inequality. Math. Inequal. Appl. 25, 27–39 (2022)
Hameed Mohammed, N., Cho, N.E., Adegani, E.A., Bulboacă, T.: Geometric properties of normalized imaginary error function. Stud. Univ. Babeş-Bolyai Math. 67, 455–462 (2022)
Prajapat, J.K., Aouf, M.K.: Majorization problem for certain class of \(p\)-valently analytic functions defined by generalized fractional differintegral operator. Comput. Math. Appl. 63, 42–47 (2012)
Selvakumaran, K.A., Purohit, S.D., Secer, A.: Majorization for a class of analytic functions defined by \(q\)-differentiation. Math. Probl. Eng. 2014, 653917 (2014)
Seoudy, T.M., Aouf, M.K.: Coefficient estimates of new classes of \(q\)-starlike and \(q\)-convex functions of complex order. J. Math. Inequal. 10(1), 135–145 (2016)
Srivastava, H.M.: Operators of basic (or \(q\)-) calculus and fractional \(q\)-calculus and their applications in geometric function theory of complex analysis. Iran. J. Sci. Technol. Trans. A Sci. 44(1), 327–344 (2020)
Srivastava, H.M., Khan, B., Khan, N., Ahmad, Q.Z.: Coefficient inequalities for \(q\)-starlike functions associated with the Janowski functions. Hokkaido Math. J. 48(2), 407–425 (2019)
Srivastava, H.M., Khan, B., Khan, N., Tahir, M., Ahmad, S., Khan, N.: Upper bound of the third Hankel determinant for a subclass of q-starlike functions associated with the \(q\)-exponential function. Bull. Sci. Math. 167, 102942 (2021)
Tang, H., Aouf, M.K., Deng, G.: Majorization problems for certain subclasses of meromorphic multivalent functions associated with the Liu-Srivastava operator. Filomat 29(4), 763–772 (2015)
Tang, H., Arif, M., Ullah, K., Khan, N., Khan, B.: Majorization results for non vanishing analytic functions in different domains. AIMS Math. 7(11), 19727–19738 (2022)
Vijaya, K., Murugusundaramoorthy, G., Cho, N.E.: Majorization problems for uniformly starlike functions based on Ruscheweyh \(q\)-differential operator defined with exponential function. Nonlinear Funct. Anal. Appl. 26, 71–81 (2021)
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
The authors declare that they have no competing interests.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Hameed Mohammed, N., Analouei Adegani, E. Majorization problems for class of q-starlike functions. Afr. Mat. 34, 66 (2023). https://doi.org/10.1007/s13370-023-01107-y
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s13370-023-01107-y