{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T13:49:55Z","timestamp":1753883395250,"version":"3.41.2"},"reference-count":6,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2011,5,14]],"date-time":"2011-05-14T00:00:00Z","timestamp":1305331200000},"content-version":"vor","delay-in-days":133,"URL":"https:\/\/2.zoppoz.workers.dev:443\/http\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["International Journal of Mathematics and Mathematical Sciences"],"published-print":{"date-parts":[[2011,1]]},"abstract":"<jats:p>Let \u0393 denote the space of all entire sequences. Let \u039b denote the space of all analytic sequences. In this paper, we introduce a new class of sequence space, namely, the semi\u2010difference entire sequence space <jats:italic>cs<\/jats:italic>\u2229<jats:italic>d<\/jats:italic><jats:sub>1<\/jats:sub>. It is shown that the intersection of all semi\u2010difference entire sequence spaces <jats:italic>cs<\/jats:italic>\u2229<jats:italic>d<\/jats:italic><jats:sub>1<\/jats:sub> is <jats:italic>I<\/jats:italic> \u2282 <jats:italic>cs<\/jats:italic>\u2229<jats:italic>d<\/jats:italic><jats:sub>1<\/jats:sub> and \u0393(\u0394) \u2282 <jats:italic>I<\/jats:italic>.<\/jats:p>","DOI":"10.1155\/2011\/143974","type":"journal-article","created":{"date-parts":[[2011,5,15]],"date-time":"2011-05-15T07:19:00Z","timestamp":1305443940000},"update-policy":"https:\/\/2.zoppoz.workers.dev:443\/https\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["The Semi\u2010Difference Entire Sequence Space <i>cs<\/i>\u2229<i>d<\/i><sub>1<\/sub>"],"prefix":"10.1155","volume":"2011","author":[{"given":"N.","family":"Subramanian","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"K. Chandrasekhara","family":"Rao","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"K.","family":"Balasubramanian","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2011,5,14]]},"reference":[{"key":"e_1_2_6_1_2","series-title":"North-Holland Mathematics Studies","volume-title":"Summability Through Functional Analysis","author":"Wilansky A.","year":"1984"},{"key":"e_1_2_6_2_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF02786676"},{"key":"e_1_2_6_3_2","doi-asserted-by":"publisher","DOI":"10.1216\/RMJ\u20101972\u20102\u20104\u2010595"},{"key":"e_1_2_6_4_2","doi-asserted-by":"crossref","first-page":"1","DOI":"10.4064\/sm-71-1-1-13","article-title":"Consistency theory in semi-conservative spaces","volume":"71","author":"Snyder A. 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