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The derivation of the basic properties, Rayleigh\u2019s energy theorem, the inversion formula and the range theorem are all included in the preliminary analysis. Besides, we also derive a direct relationship between the recently introduced special affine scaled Wigner distribution and the proposed SAST. Furthermore, we establish Heisenberg\u2019s uncertainty principle, logarithmic uncertainty principle and Nazarov\u2019s uncertainty principle associated with the proposed SAST. Towards the culmination of this paper, some potential applications with simulation are presented. <\/jats:p>","DOI":"10.1142\/s0219691323500571","type":"journal-article","created":{"date-parts":[[2023,10,29]],"date-time":"2023-10-29T05:19:24Z","timestamp":1698556764000},"source":"Crossref","is-referenced-by-count":3,"title":["Special affine stockwell transform: Theory, uncertainty principles and applications"],"prefix":"10.1142","volume":"22","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-5124-2761","authenticated-orcid":false,"given":"Aamir H.","family":"Dar","sequence":"first","affiliation":[{"name":"Department of Mathematical Sciences, Islamic University of Science and Technology, Kashmir, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3369-0883","authenticated-orcid":false,"given":"M. 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