{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T02:22:33Z","timestamp":1760235753405,"version":"build-2065373602"},"reference-count":12,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2021,9,21]],"date-time":"2021-09-21T00:00:00Z","timestamp":1632182400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100000038","name":"Natural Sciences and Engineering Research Council of Canada","doi-asserted-by":"publisher","award":["504070"],"award-info":[{"award-number":["504070"]}],"id":[{"id":"10.13039\/501100000038","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>A class of definite integrals involving a quotient function with a reducible polynomial, logarithm and nested logarithm functions are derived with a possible connection to contact problems for a wedge. The derivations are expressed in terms of the Lerch function. Special cases are also derived in terms fundamental constants. The majority of the results in this work are new.<\/jats:p>","DOI":"10.3390\/axioms10030236","type":"journal-article","created":{"date-parts":[[2021,9,21]],"date-time":"2021-09-21T08:04:23Z","timestamp":1632211463000},"page":"236","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Mellin Transform of Logarithm and Quotient Function with Reducible Quartic Polynomial in Terms of the Lerch Function"],"prefix":"10.3390","volume":"10","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4230-9925","authenticated-orcid":false,"given":"Robert","family":"Reynolds","sequence":"first","affiliation":[{"name":"Department of Mathematics and Statistics, York University, Toronto, ON M3J 1P3, Canada"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7252-5004","authenticated-orcid":false,"given":"Allan","family":"Stauffer","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics, York University, Toronto, ON M3J 1P3, Canada"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2021,9,21]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"139","DOI":"10.1007\/BF02419024","article-title":"Uber den zusamenhang zwischen den linearen differential-und diferenzen-gleichungen","volume":"25","author":"Melin","year":"1902","journal-title":"Acta Math."},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Doetsch, G. 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(2000). Tables of Integrals, Series and Products, Academic Press. [6th ed.]."},{"key":"ref_8","unstructured":"Erd\u00e9yli, A., Magnus, W., Oberhettinger, F., and Tricomi, F.G. (1953). Higher Transcendental Functions, McGraw-Hill Book Company, Inc."},{"key":"ref_9","first-page":"234","article-title":"Some general families of the Hurwitz-Lerch Zeta functions and their applications: Recent developments and directions for further researches","volume":"45","author":"Srivastava","year":"2019","journal-title":"Proc. Inst. Math. Mech. Natl. Acad. Sci. Azerbaijan"},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"329","DOI":"10.25073\/jaec.201931.229","article-title":"The Zeta and Related Functions: Recent Developments","volume":"3","author":"Srivastava","year":"2019","journal-title":"J. Adv. Eng. Comput."},{"key":"ref_11","doi-asserted-by":"crossref","unstructured":"Oldham, K.B., Myland, J.C., and Spanier, J. (2009). An Atlas of Functions: With Equator, the Atlas Function Calculator, Springer. [2nd ed.].","DOI":"10.1007\/978-0-387-48807-3"},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"417","DOI":"10.32917\/hmj\/1151007490","article-title":"A certain family of series associated with the Zeta and related functions","volume":"32","author":"Choi","year":"2002","journal-title":"Hiroshima Math. 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