{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,16]],"date-time":"2026-02-16T03:11:06Z","timestamp":1771211466169,"version":"3.50.1"},"reference-count":27,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2025,4,9]],"date-time":"2025-04-09T00:00:00Z","timestamp":1744156800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>We introduce and systematically study a new class k\u03bb,p(\u03b1,\u03b2) of meromorphic p-valent functions defined by means of the Ruscheweyh-type operator D*\u03bb,p, where p\u2208N, \u03bb&gt;\u2212p, 0\u2264\u03b1&lt;1, and \u03b2&gt;0. Membership in this class is characterized through coefficient estimates. Also investigated are growth, distortion, stability under convex combinations, radii of starlikeness and convexity of order \u03c1(0\u2264\u03c1&lt;1), convolution, the action of an integral operator of Bernardi\u2013Libera\u2013Livingston type, and neighborhoods.<\/jats:p>","DOI":"10.3390\/axioms14040284","type":"journal-article","created":{"date-parts":[[2025,4,9]],"date-time":"2025-04-09T12:05:56Z","timestamp":1744200356000},"page":"284","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["A Class of Meromorphic Multivalent Functions with Negative Coefficients Defined by a Ruscheweyh-Type Operator"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9421-9198","authenticated-orcid":false,"given":"Isabel","family":"Marrero","sequence":"first","affiliation":[{"name":"Departamento de An\u00e1lisis Matem\u00e1tico, Universidad de La Laguna (ULL), 38200 La Laguna, Spain"},{"name":"Instituto de Matem\u00e1ticas y Aplicaciones (IMAULL), Universidad de La Laguna (ULL), 38200 La Laguna, Spain"}]}],"member":"1968","published-online":{"date-parts":[[2025,4,9]]},"reference":[{"key":"ref_1","unstructured":"Duren, P.L. (1983). Univalent Functions, Springer."},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Hayman, W.K. (1994). Multivalent Functions, Cambridge University Press. [2nd ed.].","DOI":"10.1017\/CBO9780511526268"},{"key":"ref_3","doi-asserted-by":"crossref","unstructured":"Srivastava, H.M., and Owa, S. (1992). Current Topics in Analytic Function Theory, World Scientific.","DOI":"10.1142\/1628"},{"key":"ref_4","doi-asserted-by":"crossref","unstructured":"Astala, K., Iwaniec, T., and Martin, G. (2009). Elliptic Partial Differential Equations and Quasiconformal Mappings in the Plane, Princeton University Press.","DOI":"10.1515\/9781400830114"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"1587","DOI":"10.1007\/s13160-023-00599-2","article-title":"Numerical analytic continuation","volume":"40","author":"Trefethen","year":"2023","journal-title":"Jpn. J. Ind. Appl. Math."},{"key":"ref_6","unstructured":"Campos, L.M.B.C. (2011). Complex Analysis with Applications to Flows and Fields, CRC Press."},{"key":"ref_7","doi-asserted-by":"crossref","unstructured":"Coffie, R.L. (2022). 2D Electrostatic Fields: A Complex Variable Approach, CRC Press.","DOI":"10.1201\/9781003169185"},{"key":"ref_8","doi-asserted-by":"crossref","unstructured":"Kwok, Y.K. (2010). Applied Complex Variables for Scientists and Engineers, Cambridge University Press. [2nd ed.].","DOI":"10.1017\/CBO9780511844690"},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1090\/S0002-9939-1975-0367176-1","article-title":"New criteria for univalent functions","volume":"49","author":"Ruscheweyh","year":"1975","journal-title":"Proc. Am. Math. Soc."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s40315-019-00295-8","article-title":"About the cover: The Ruscheweyh derivatives","volume":"20","author":"Wegert","year":"2020","journal-title":"Comput. Methods Funct. Theory"},{"key":"ref_11","first-page":"207","article-title":"Some applications of Hadamard convolution to multivalently analytic and multivalently meromorphic functions","volume":"187","author":"Irmak","year":"2007","journal-title":"Appl. Math. Comput."},{"key":"ref_12","first-page":"99","article-title":"On generalization of meromorphic convex functions with negative coefficients","volume":"35","author":"Uralegaddi","year":"1993","journal-title":"Mathematica"},{"key":"ref_13","first-page":"1087","article-title":"On a class of meromorphic multivalent functions with negative coefficients defined by Ruscheweyh derivative","volume":"3","author":"Khairnar","year":"2008","journal-title":"Int. Math. Forum"},{"key":"ref_14","unstructured":"Ruzhansky, M., Cho, Y.J., Agarwal, P., and Area, I. (2017). Certain class of meromorphically multivalent functions defined by a differential operator. Advances in Real and Complex Analysis with Applications, Springer."},{"key":"ref_15","first-page":"369","article-title":"A new class of meromorphic multivalent functions involving an extended linear derivative operator of Ruscheweyh","volume":"6","author":"Awasthi","year":"2018","journal-title":"Int. J. Math. Appl."},{"key":"ref_16","first-page":"97","article-title":"Subclasses of meromorphically p-valent functions with negative coefficients associated with a linear operator","volume":"4","author":"Aouf","year":"2009","journal-title":"Bull. Inst. Math. Acad. Sin."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"300","DOI":"10.1090\/S0002-9947-1963-0148895-5","article-title":"Meromorphic starlike multivalent functions","volume":"107","author":"Royster","year":"1963","journal-title":"Trans. Am. Math. Soc."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"220","DOI":"10.1090\/S0002-9939-1970-0259098-7","article-title":"Convex meromorphic mappings and related functions","volume":"25","author":"Miller","year":"1970","journal-title":"Proc. Am. Math. Soc."},{"key":"ref_19","doi-asserted-by":"crossref","unstructured":"Al-Shbeil, I., Gong, J., Ray, S., Khan, S., Khan, N., and Alaqad, H. (2023). The properties of meromorphic multivalent q-starlike functions in the Janowski domain. Fractal Fract., 7.","DOI":"10.3390\/fractalfract7060438"},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"201","DOI":"10.1016\/S0898-1221(99)00194-7","article-title":"A certain family of meromorphically multivalent functions","volume":"38","author":"Joshi","year":"1999","journal-title":"Computers Math. Appl."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"271","DOI":"10.1155\/S016117120220335X","article-title":"On a class of meromorphic p-valent starlike functions involving certain linear operators","volume":"32","author":"Liu","year":"2002","journal-title":"Int. J. Math. Math. Sci."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"487","DOI":"10.2478\/s12175-012-0025-x","article-title":"Some inclusion relationships and integral-preserving properties of certain subclasses of p-valent meromorphic functions associated with a family of linear operators","volume":"62","author":"Aouf","year":"2012","journal-title":"Math. Slovaca"},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"598","DOI":"10.1090\/S0002-9939-1957-0086879-9","article-title":"Univalent functions and nonanalytic curves","volume":"8","author":"Goodman","year":"1957","journal-title":"Proc. Am. Math. Soc."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"521","DOI":"10.1090\/S0002-9939-1981-0601721-6","article-title":"Neighborhoods of univalent functions","volume":"81","author":"Ruscheweyh","year":"1981","journal-title":"Proc. Am. Math. Soc."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"566","DOI":"10.1006\/jmaa.2000.7430","article-title":"A linear operator and associated families of meromorphically multivalent functions","volume":"259","author":"Liu","year":"2001","journal-title":"J. Math. Anal. Appl."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"966","DOI":"10.1016\/j.camwa.2010.12.045","article-title":"Subclasses of meromorphically multivalent functions defined by a differential operator","volume":"61","author":"Orhan","year":"2011","journal-title":"Comput. Math. Appl."},{"key":"ref_27","first-page":"259","article-title":"Partial sums and neighborhoods of Janowski-type subclasses of meromorphic functions","volume":"31","author":"Alatawi","year":"2023","journal-title":"Korean J. Math."}],"container-title":["Axioms"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2075-1680\/14\/4\/284\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,9]],"date-time":"2025-10-09T17:11:43Z","timestamp":1760029903000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2075-1680\/14\/4\/284"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,4,9]]},"references-count":27,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2025,4]]}},"alternative-id":["axioms14040284"],"URL":"https:\/\/doi.org\/10.3390\/axioms14040284","relation":{},"ISSN":["2075-1680"],"issn-type":[{"value":"2075-1680","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,4,9]]}}}