{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T01:42:49Z","timestamp":1760146969251,"version":"build-2065373602"},"reference-count":22,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2024,12,24]],"date-time":"2024-12-24T00:00:00Z","timestamp":1734998400000},"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>In this paper, p,q-analogues of the generalized harmonic polynomials and the generalized hyperharmonic polynomials of order \u03bd are defined. We found new sums of these numbers by using combinatorial operations. We also obtained the generating function and used it to reproduce new equations. The applications of matrices are made in the end.<\/jats:p>","DOI":"10.3390\/sym17010004","type":"journal-article","created":{"date-parts":[[2024,12,24]],"date-time":"2024-12-24T09:48:58Z","timestamp":1735033738000},"page":"4","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Some Identities on (p,q)-Analog of the Generalized Hyperharmonic Polynomials of Order \u03bd"],"prefix":"10.3390","volume":"17","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-9574-9652","authenticated-orcid":false,"given":"Sibel","family":"Koparal","sequence":"first","affiliation":[{"name":"Department of Mathematics, Bursa Uluda\u011f University, Bursa 16059, Turkey"}]}],"member":"1968","published-online":{"date-parts":[[2024,12,24]]},"reference":[{"key":"ref_1","unstructured":"Euler, L. (1748). Introductio in Analysis Infinitorum, Marcum-Michaelem Bousquet. 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