{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,12]],"date-time":"2026-06-12T22:39:16Z","timestamp":1781303956692,"version":"3.54.1"},"reference-count":29,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2023,8,28]],"date-time":"2023-08-28T00:00:00Z","timestamp":1693180800000},"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>We develop some new sequence spaces \ud835\udcc1p(P(q)) and \ud835\udcc1\u221e(P(q)) by using q-Pascal matrix P(q). We discuss some topological properties of the newly defined spaces, obtain the Schauder basis for the space \ud835\udcc1p(P(q)) and determine the Alpha-(\u03b1-), Beta-(\u03b2-) and Gamma-(\u03b3-) duals of the newly defined spaces. We characterize a certain class (\ud835\udcc1p(P(q)),X) of infinite matrices, where X\u2208{\ud835\udcc1\u221e,c,c0}. Furthermore, utilizing the proposed results, we characterize certain other classes of infinite matrices. We also examine some geometric properties, like the approximation property, Dunford\u2013Pettis property, Hahn\u2013Banach extension property, and Banach\u2013Saks-type p property of the spaces \ud835\udcc1p(P(q)) and \ud835\udcc1\u221e(P(q)).<\/jats:p>","DOI":"10.3390\/sym15091659","type":"journal-article","created":{"date-parts":[[2023,8,28]],"date-time":"2023-08-28T06:10:22Z","timestamp":1693203022000},"page":"1659","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["On Some Sequence Spaces via q-Pascal Matrix and Its Geometric Properties"],"prefix":"10.3390","volume":"15","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3435-8417","authenticated-orcid":false,"given":"Taja","family":"Yaying","sequence":"first","affiliation":[{"name":"Department of Mathematics, Dera Natung Government College, Itanagar 791113, India"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0644-0600","authenticated-orcid":false,"given":"Bipan","family":"Hazarika","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Gauhati University, Gauhati 781014, India"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8292-7819","authenticated-orcid":false,"given":"Mikail","family":"Et","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Firat University, Elazi\u01e7 23119, Turkey"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2023,8,28]]},"reference":[{"key":"ref_1","first-page":"193","article-title":"On q-definite integrals","volume":"41","author":"Jackson","year":"1910","journal-title":"Q. 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