{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,18]],"date-time":"2026-04-18T01:12:43Z","timestamp":1776474763140,"version":"3.51.2"},"reference-count":26,"publisher":"MDPI AG","issue":"5","license":[{"start":{"date-parts":[[2024,4,23]],"date-time":"2024-04-23T00:00:00Z","timestamp":1713830400000},"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>In this paper, we explore the properties of the generalized Lambert transform, the L-transform, the generalized Stieltjes transform, and the Stieltjes\u2013Poisson transform within the framework of Lebesgue spaces. We establish Parseval-type relations for each transform, providing a comprehensive analysis of their behaviour and mathematical characteristics.<\/jats:p>","DOI":"10.3390\/axioms13050283","type":"journal-article","created":{"date-parts":[[2024,4,23]],"date-time":"2024-04-23T08:08:27Z","timestamp":1713859707000},"page":"283","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["A Comprehensive Study of Generalized Lambert, Generalized Stieltjes, and Stieltjes\u2013Poisson Transforms"],"prefix":"10.3390","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6569-8540","authenticated-orcid":false,"given":"Jeetendrasingh","family":"Maan","sequence":"first","affiliation":[{"name":"Department of Mathematics and Scientific Computing, National Institute of Technology Hamirpur, Hamirpur 177005, India"}]},{"given":"E. R.","family":"Negr\u00edn","sequence":"additional","affiliation":[{"name":"Departamento de An\u00e1lisis Matem\u00e1tico, Facultad de Ciencias, University of La Laguna, 38271 La Laguna, Spain"}]}],"member":"1968","published-online":{"date-parts":[[2024,4,23]]},"reference":[{"key":"ref_1","first-page":"301","article-title":"Certain results associated with the generalized Riemann zeta functions","volume":"18","author":"Raina","year":"1995","journal-title":"Rev. T\u00e9c. Ing. Univ. Zulia"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"171","DOI":"10.2307\/3029825","article-title":"An inversion of the Lambert transform","volume":"23","author":"Widder","year":"1950","journal-title":"Math. Mag."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"459","DOI":"10.1215\/S0012-7094-58-02540-7","article-title":"Inversions of generalized Lambert transforms","volume":"25","author":"Goldberg","year":"1958","journal-title":"Duke Math. 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