{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,3]],"date-time":"2026-06-03T02:52:27Z","timestamp":1780455147115,"version":"3.54.1"},"reference-count":31,"publisher":"MDPI AG","issue":"11","license":[{"start":{"date-parts":[[2018,11,19]],"date-time":"2018-11-19T00:00:00Z","timestamp":1542585600000},"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>The article is written with the objectives to introduce a multi-variable hybrid class, namely the Hermite\u2013Apostol-type Frobenius\u2013Euler polynomials, and to characterize their properties via different generating function techniques. Several explicit relations involving Hurwitz\u2013Lerch Zeta functions and some summation formulae related to these polynomials are derived. Further, we establish certain symmetry identities involving generalized power sums and Hurwitz\u2013Lerch Zeta functions. An operational view for these polynomials is presented, and corresponding applications are given. The illustrative special cases are also mentioned along with their generating equations.<\/jats:p>","DOI":"10.3390\/sym10110652","type":"journal-article","created":{"date-parts":[[2018,11,23]],"date-time":"2018-11-23T03:41:31Z","timestamp":1542944491000},"page":"652","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["A New Class of Hermite-Apostol Type Frobenius-Euler Polynomials and Its Applications"],"prefix":"10.3390","volume":"10","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3950-6864","authenticated-orcid":false,"given":"Serkan","family":"Araci","sequence":"first","affiliation":[{"name":"Department of Economics, Faculty of Economics, Administrative and Social Sciences, Hasan Kalyoncu University, Gaziantep TR-27410, Turkey"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Mumtaz","family":"Riyasat","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science, Aligarh Muslim University, Aligarh 202 002, India"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6484-469X","authenticated-orcid":false,"given":"Shahid Ahmad","family":"Wani","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science, Aligarh Muslim University, Aligarh 202 002, India"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Subuhi","family":"Khan","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science, Aligarh Muslim University, Aligarh 202 002, India"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2018,11,19]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"597","DOI":"10.1006\/jmaa.1996.0399","article-title":"Generalized Hermite polynomials and super-Gaussian forms","volume":"203","author":"Dattoli","year":"1996","journal-title":"J. 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