{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,31]],"date-time":"2026-01-31T04:00:33Z","timestamp":1769832033435,"version":"3.49.0"},"reference-count":34,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2023,7,18]],"date-time":"2023-07-18T00:00:00Z","timestamp":1689638400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>Our goal in this article is to use ideas from symmetric q-calculus operator theory in the study of meromorphic functions on the punctured unit disc and to propose a novel symmetric q-difference operator for these functions. A few additional classes of meromorphic functions are then defined in light of this new symmetric q-difference operator. We prove many useful conclusions regarding these newly constructed classes of meromorphic functions, such as convolution, subordination features, integral representations, and necessary conditions. The technique presented in this article may be used to produce a wide variety of new types of generalized symmetric q-difference operators, which can subsequently be used to investigate a wide variety of new classes of analytic and meromorphic functions related to symmetric quantum calculus.<\/jats:p>","DOI":"10.3390\/sym15071439","type":"journal-article","created":{"date-parts":[[2023,7,19]],"date-time":"2023-07-19T00:47:38Z","timestamp":1689727658000},"page":"1439","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["Applications of the Symmetric Quantum-Difference Operator for New Subclasses of Meromorphic Functions"],"prefix":"10.3390","volume":"15","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-5287-4656","authenticated-orcid":false,"given":"Isra","family":"Al-shbeil","sequence":"first","affiliation":[{"name":"Department of Mathematics, Faculty of Science, The University of Jordan, Amman 11942, Jordan"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0361-4887","authenticated-orcid":false,"given":"Shahid","family":"Khan","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Abbottabad University of Science and Technology, Abbottabad 22500, Pakistan"}]},{"given":"Hala","family":"AlAqad","sequence":"additional","affiliation":[{"name":"Department of Mathematical Sciences, United Arab Emirates University, Al Ain 15551, United Arab Emirates"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2529-1276","authenticated-orcid":false,"given":"Salam","family":"Alnabulsi","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science, The University of Jordan, Amman 11942, Jordan"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5053-5028","authenticated-orcid":false,"given":"Mohammad Faisal","family":"Khan","sequence":"additional","affiliation":[{"name":"Department of Basic Science, College of Science and Theoretical Studies, Saudi Electronic University, Riyadh-11673, Saudi Arabia"}]}],"member":"1968","published-online":{"date-parts":[[2023,7,18]]},"reference":[{"key":"ref_1","first-page":"1027","article-title":"On meromorphic starlike and convexfunctions","volume":"32","author":"Nunokawa","year":"2001","journal-title":"Indian J. Pure Appl. Math."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"1102","DOI":"10.1016\/j.camwa.2008.07.044","article-title":"Hadamard product of certain meromorphic starlike and convex functions","volume":"57","author":"Aouf","year":"2009","journal-title":"Comput. Math. Appl."},{"key":"ref_3","first-page":"136","article-title":"Some properties of certain meromorphically multivalent functions","volume":"210","author":"Liu","year":"2009","journal-title":"Appl. Math. Comput."},{"key":"ref_4","first-page":"193","article-title":"On q-definite integrals","volume":"41","author":"Jackson","year":"1910","journal-title":"Q. J. Pure Appl. Math."},{"key":"ref_5","first-page":"77","article-title":"A generalization of starlike functions","volume":"14","author":"Ismail","year":"1990","journal-title":"Complex Var. Theory Appl."},{"key":"ref_6","unstructured":"Srivastava, H.M., and Owa, S. (1989). Univalent Functions, Fractional Calculus, and Their Applications, Halsted Press Ellis Horwood Limited, Chichester, John Wiley and Sons."},{"key":"ref_7","first-page":"61","article-title":"Close-to-convexity of a certain family of q-Mittag-Leffler functions","volume":"1","author":"Srivastava","year":"2017","journal-title":"J. Nonlinear Var. Anal."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"1211","DOI":"10.1007\/s13398-018-0539-3","article-title":"Some applications of a q-analogue of the Ruscheweyh type operator for multivalent functions","volume":"113","author":"Arif","year":"2019","journal-title":"Rev. R. Acad. Cienc. Exactas Fis. Nat. Ser. A Mat. (RACSAM)"},{"key":"ref_9","doi-asserted-by":"crossref","unstructured":"Faisal, M.I., Al-Shbeil, I., Abbas, M., Arif, M., and Alhefthi, R.K. (2023). Problems Concerning Coefficients of Symmetric Starlike Functions Connected with the Sigmoid Function. Symmetry, 15.","DOI":"10.3390\/sym15071292"},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"88","DOI":"10.1186\/s13660-019-2020-z","article-title":"A certain subclass of meromorphically q-starlike functions associated with the Janowski functions","volume":"2019","author":"Mahmood","year":"2019","journal-title":"J. Inequal. Appl."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"327","DOI":"10.1007\/s40995-019-00815-0","article-title":"Operators of basic (or q-) calculus and fractional q-calculus and their applications in geometric function theory of complex analysis","volume":"44","author":"Srivastava","year":"2020","journal-title":"Iran. J. Sci. Technol. Trans. A Sci."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"407","DOI":"10.14492\/hokmj\/1562810517","article-title":"Coefficient inequalities for q-starlike functions associated with the Janowski functions","volume":"48","author":"Srivastava","year":"2019","journal-title":"Hokkaido Math. J."},{"key":"ref_13","doi-asserted-by":"crossref","unstructured":"Saliu, A., Al-Shbeil, I., Gong, J., Malik, S.N., and Aloraini, N. (2022). Properties of q-Symmetric Starlike Functions of Janowski Type. Symmetry, 14.","DOI":"10.3390\/sym14091907"},{"key":"ref_14","doi-asserted-by":"crossref","unstructured":"Al-shbeil, A.C.I., and Shaba, T.G. (2022). Second Hankel Determinant for the Subclass of Bi-Univalent Functions Using q-Chebyshev Polynomial and Hohlov Operator. Fractals Fract., 6.","DOI":"10.3390\/fractalfract6040186"},{"key":"ref_15","doi-asserted-by":"crossref","unstructured":"Amini, E., Fardi, M., Al-Omari, S., and Nonlaopon, K. (2022). Results on univalent functions defined by q-analogues of Salagean and Ruscheweh operators. Symmetry, 14.","DOI":"10.3390\/sym14081725"},{"key":"ref_16","doi-asserted-by":"crossref","unstructured":"Alsarari, F., and Alzahrani, S. (2022). Convolution properties of q-Janowski-type functions associated with (x,y)-symmetrical functions. Symmetry, 14.","DOI":"10.3390\/sym14071406"},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Al-shbeil, I., saliu, A., Catas, A., and Malik, S.N. (2022). Some Geometrical Results Associated with Secant Hyperbolic Functions. Mathematics, 10.","DOI":"10.3390\/math10152697"},{"key":"ref_18","doi-asserted-by":"crossref","unstructured":"Raza, M., Riaz, A., Xin, Q., and Malik, S.N. (2022). Hankel determinants and coefficient estimates for starlike functions related to Symmetric Booth Lemniscate. Symmetry, 14.","DOI":"10.3390\/sym14071366"},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"2241","DOI":"10.1016\/j.camwa.2012.01.076","article-title":"The symmetric q variational calculus","volume":"64","author":"Martins","year":"2012","journal-title":"Comput. Math. Appl."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"79","DOI":"10.1016\/S0034-4877(09)90021-0","article-title":"Basic-deformed quantum mechanics","volume":"64","author":"Lavagno","year":"2009","journal-title":"Rep. Math. Phys."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"222","DOI":"10.1186\/s13662-016-0947-7","article-title":"Certain fractional symmetric q-integrals and symmetric q derivatives and their application","volume":"2016","author":"Sun","year":"2016","journal-title":"Adv. Differ. Equ."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"1727","DOI":"10.1007\/s11253-019-01602-1","article-title":"Subclass of k-uniformly starlike functions defined by symmetric q-derivative operator","volume":"70","author":"Kanas","year":"2019","journal-title":"Ukr. Math. J."},{"key":"ref_23","doi-asserted-by":"crossref","unstructured":"Khan, S., Hussain, S., Naeem, M., Darus, M., and Rasheed, A. (2021). A subclass of q-starlike functions defined by using a symmetric q -derivative operator and related with generalized symmetric conic domains. Mathematics, 9.","DOI":"10.3390\/math9090917"},{"key":"ref_24","doi-asserted-by":"crossref","unstructured":"Khan, M.F., Al-Shbeil, I., Aloraini, N., Khan, N., and Khan, S. (2022). Applications of symmetric quantum calculus to the class of harmonic functions. Symmetry, 14.","DOI":"10.3390\/sym14102188"},{"key":"ref_25","doi-asserted-by":"crossref","unstructured":"Khan, M.F., Goswami, A., and Khan, S. (2022). Certain new subclass of multivalent q-starlike functions associated with symmetric q-calculus. Fractal Fract., 6.","DOI":"10.3390\/fractalfract6070367"},{"key":"ref_26","first-page":"107","article-title":"On some symmetric q-special functions","volume":"68","author":"Kamel","year":"2013","journal-title":"Le Mat."},{"key":"ref_27","doi-asserted-by":"crossref","unstructured":"Seoudy, T.M., and Shammaky, A.E. (2023). Some properties of certain classes of meromorphic multivalent functions defined by subordination. Symmetry, 15.","DOI":"10.3390\/sym15020347"},{"key":"ref_28","doi-asserted-by":"crossref","unstructured":"Elhaddad, S., and Darus, M. (2019). On meromorphic functions defined by a new operator containing the Mittag\u2013Leffler function. Symmetry, 11.","DOI":"10.3390\/sym11020210"},{"key":"ref_29","doi-asserted-by":"crossref","unstructured":"Totoi, E.A., and Cot\u00eerl\u0103, L.I. (2022). Preserving classes of meromorphic functions through integral operators. Symmetry, 14.","DOI":"10.3390\/sym14081545"},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"6277","DOI":"10.2298\/FIL2319277C","article-title":"Inequalities on a class of analytic functions defined by generalized Mittag-Leffler function","volume":"37","author":"Karthikeyan","year":"2023","journal-title":"Filomat"},{"key":"ref_31","first-page":"8264693","article-title":"Radius and Differential Subordination Results for Starlikeness Associated with Lima\u00e7on Class","volume":"2022","author":"Saliu","year":"2022","journal-title":"J. Funct. Spaces"},{"key":"ref_32","doi-asserted-by":"crossref","unstructured":"Al-shbeil, I., Gong, J., and Shaba, T.G. (2023). Coefficients Inequalities for the Bi-Univalent Functions Related to q-Babalola Convolution Operator. Fractal Fract., 7.","DOI":"10.3390\/fractalfract7020155"},{"key":"ref_33","doi-asserted-by":"crossref","unstructured":"Al-shbeil, A.C.I., Wanas, A.K., and Saliu, A. (2022). Applications of Beta Negative Binomial Distribution and Laguerre Polynomials on Ozaki Bi-Close-to-Convex Functions. Axioms, 11.","DOI":"10.3390\/axioms11090451"},{"key":"ref_34","doi-asserted-by":"crossref","unstructured":"Shaba, T.G., Araci, S., Adebesin, B.O., Tchier, F., Zainab, S., and Khan, B. (2023). Sharp Bounds of the Fekete\u2013Szeg\u00f6 Problem and Second Hankel Determinant for Certain Bi-Univalent Functions Defined by a Novel q-Differential Operator Associated with q-Lima\u00e7on Domain. Fractal Fract., 7.","DOI":"10.3390\/fractalfract7070506"}],"container-title":["Symmetry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2073-8994\/15\/7\/1439\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T20:13:57Z","timestamp":1760127237000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2073-8994\/15\/7\/1439"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,7,18]]},"references-count":34,"journal-issue":{"issue":"7","published-online":{"date-parts":[[2023,7]]}},"alternative-id":["sym15071439"],"URL":"https:\/\/doi.org\/10.3390\/sym15071439","relation":{},"ISSN":["2073-8994"],"issn-type":[{"value":"2073-8994","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,7,18]]}}}