{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T01:45:55Z","timestamp":1760060755302,"version":"build-2065373602"},"reference-count":23,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2025,9,15]],"date-time":"2025-09-15T00:00:00Z","timestamp":1757894400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Deanship of Scientific Research at Northern Border University, Arar, KSA","award":["NBU-FFR-2025-2917-03"],"award-info":[{"award-number":["NBU-FFR-2025-2917-03"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>In this paper, we integrate the concepts of spiral-like functions and Janowski-type functions within the framework of q-calculus to define new subclasses in the open unit disk. Our primary focus is on analyzing convolution conditions that form the foundation for further theoretical developments. The main contributions include establishing sufficient conditions and applying Robertson\u2019s theorem. Furthermore, motivated by a recent definition, we propose analogous neighborhood concepts for the above-mentioned classes, and we explore the corresponding neighborhood results.<\/jats:p>","DOI":"10.3390\/axioms14090696","type":"journal-article","created":{"date-parts":[[2025,9,15]],"date-time":"2025-09-15T11:51:43Z","timestamp":1757937103000},"page":"696","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Geometric Characteristics of Specific Classes Associated with q-Janowski Functions"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4759-5449","authenticated-orcid":false,"given":"Fuad","family":"Alsarari","sequence":"first","affiliation":[{"name":"Department of Mathematics and Statistics, College of Sciences in Yanbu, Taibah University, Madinah 42353, Saudi Arabia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5650-1838","authenticated-orcid":false,"given":"Abdulbasit","family":"Darem","sequence":"additional","affiliation":[{"name":"Center for Scientific Research and Entrepreneurship, Northern Border University, Arar 73213, Saudi Arabia"}]},{"given":"Amel","family":"Touati","sequence":"additional","affiliation":[{"name":"Mathematics Department, College of Sciences, Northern Border University, Arar 73213, Saudi Arabia"}]},{"given":"Alaa Awad","family":"Alzulaibani","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics, College of Sciences in Yanbu, Taibah University, Madinah 42353, Saudi Arabia"}]}],"member":"1968","published-online":{"date-parts":[[2025,9,15]]},"reference":[{"key":"ref_1","first-page":"515","article-title":"Neue Untermengen der schlichten Funktionen","volume":"50","author":"Ruscheweyh","year":"1975","journal-title":"Comment. Math. Helv."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"297","DOI":"10.4064\/ap-28-3-297-326","article-title":"Some extremal problems for certain families of analytic functions","volume":"28","author":"Janowski","year":"1973","journal-title":"Ann. Pol. Math."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"253","DOI":"10.1017\/S0080456800002751","article-title":"On q-functions and a certain difference operator","volume":"46","author":"Jackson","year":"1909","journal-title":"Trans. R. Soc. Edinb."},{"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":"Mourad","year":"1990","journal-title":"Complex Var. Theory Appl."},{"key":"ref_6","doi-asserted-by":"crossref","unstructured":"Naeem, M., Hussain, S., Khan, S., Mahmood, T., Darus, M., and Shareef, Z. (2020). Janowski type q-convex and q-close-to-convex functions associated with q-conic domain. Mathematics, 8.","DOI":"10.3390\/math8030440"},{"key":"ref_7","doi-asserted-by":"crossref","unstructured":"Srivastava, M., Tahir, M., Khan, B., Ahmad, Z., and Khan, N. (2019). Some general classes of q-starlike functions associated with the Janowski functions. Symmetry, 11.","DOI":"10.3390\/sym11020292"},{"key":"ref_8","doi-asserted-by":"crossref","unstructured":"Alsarari, F., and Alzahrani, S. (2022). Convolution Properties of q-Janowski-Type Functions Associated with (x,y)-Symmetrical Functions. Mathematics, 14.","DOI":"10.3390\/sym14071406"},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"475","DOI":"10.1007\/s10476-017-0206-5","article-title":"On a class of analytic functions related to conic domains involving q-calculus","volume":"43","author":"Govindaraj","year":"2017","journal-title":"Anal. Math."},{"key":"ref_10","doi-asserted-by":"crossref","unstructured":"Cot\u00eerl\u01ce, L.-I., and Murugusundaramoorthy, G. (2023). Starlike Functions Based on Ruscheweyh q-Differential Operator defined in Janowski Domain. Fractal Fract., 7.","DOI":"10.3390\/fractalfract7020148"},{"key":"ref_11","first-page":"487","article-title":"A Unified Class of Spiral-like Function Including Kober Fractional Operators in Quantum Calculus","volume":"2","author":"Purohit","year":"2023","journal-title":"Palest. J. Math."},{"key":"ref_12","doi-asserted-by":"crossref","unstructured":"Breaz, D., Murugusundaramoorthy, G., and Cot\u00eerl\u01ce, L.-I. (2022). Geometric Properties for a New Class of Analytic Functions Defined by a Certain Operator. Symmetry, 14.","DOI":"10.3390\/sym14122624"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"8162182","DOI":"10.1155\/2022\/8162182","article-title":"Applications of q-Derivative Operator to the Subclass of Bi-Univalent Functions Involving -Chebyshev Polynomials","volume":"2022","author":"Khan","year":"2022","journal-title":"J. Math."},{"key":"ref_14","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. Sci. Technol. Trans. Sci."},{"key":"ref_15","first-page":"255","article-title":"Growth and distortion theorem for the Janowski alpha-spirallike functions in the unit disc","volume":"57","author":"Polatoglu","year":"2012","journal-title":"Stud. Univ.-BabeS-Bolyai Math."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"15","DOI":"10.14492\/hokmj\/1498788094","article-title":"A generalization of starlike functions of order alpha","volume":"46","author":"Agrawal","year":"2017","journal-title":"Hokkaido Math. J."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"374","DOI":"10.2307\/1968451","article-title":"On the theory of univalent functions","volume":"37","author":"Robertson","year":"1936","journal-title":"Ann. Math."},{"key":"ref_18","first-page":"1","article-title":"Uber Uber die konforme abbildung sterngebieten","volume":"63A 6","author":"Nevanlinna","year":"1920\u20131921","journal-title":"Oversikt av Finska-Vetenskaps-Soc. Forh"},{"key":"ref_19","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":"1975","journal-title":"Proc. Am. Math. Soc."},{"key":"ref_20","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_21","doi-asserted-by":"crossref","first-page":"119","DOI":"10.1007\/BF02566116","article-title":"Hadamard products of Schlicht functions and the Polya-Schoenberg conjecture","volume":"48","author":"Ruscheweyh","year":"1979","journal-title":"Comment. Math. Helv."},{"key":"ref_22","first-page":"777","article-title":"Convolution conditions for certain classes of analytic functions","volume":"15","author":"Ganesan","year":"1984","journal-title":"Int. J. Pure Appl. Math."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"125","DOI":"10.1007\/BF01215069","article-title":"Convolution conditions for convexity, starlikeness and spiral-likeness","volume":"162","author":"Silverman","year":"1978","journal-title":"Math. Z."}],"container-title":["Axioms"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2075-1680\/14\/9\/696\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,9]],"date-time":"2025-10-09T18:45:41Z","timestamp":1760035541000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2075-1680\/14\/9\/696"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,9,15]]},"references-count":23,"journal-issue":{"issue":"9","published-online":{"date-parts":[[2025,9]]}},"alternative-id":["axioms14090696"],"URL":"https:\/\/doi.org\/10.3390\/axioms14090696","relation":{},"ISSN":["2075-1680"],"issn-type":[{"type":"electronic","value":"2075-1680"}],"subject":[],"published":{"date-parts":[[2025,9,15]]}}}