A q-Translation Approach to Liu’s Calculus
| dc.contributor.author | Aslan, Hatice | |
| dc.contributor.author | Ismail, Mourad E. H. | |
| dc.date.accessioned | 2026-08-12T16:15:16Z | |
| dc.date.issued | 2021 | |
| dc.department | Fırat Üniversitesi | |
| dc.description.abstract | We show that there is a concept of q-translation behind the approach used by Liu to prove summation and transformation identities for q-series.We revisit the q-translation associated with the Askey–Wilson operator introduced in Ismail (Ann Comb 5(3–4):347–362, 2001), simplify its formalism and point out new properties of this translation operator. © 2021, Springer Nature Switzerland AG. | |
| dc.identifier.doi | 10.1007/978-3-030-57050-7_7 | |
| dc.identifier.endpage | 134 | |
| dc.identifier.issn | 2297-0215 | |
| dc.identifier.scopus | 2-s2.0-85101971241 | |
| dc.identifier.scopusquality | Q4 | |
| dc.identifier.startpage | 111 | |
| dc.identifier.uri | https://doi.org/10.1007/978-3-030-57050-7_7 | |
| dc.identifier.uri | https://hdl.handle.net/11508/43606 | |
| dc.indekslendigikaynak | Scopus | |
| dc.language.iso | en | |
| dc.publisher | Springer Science and Business Media Deutschland GmbH | |
| dc.relation.ispartof | Trends in Mathematics | |
| dc.relation.publicationcategory | Kitap Bölümü - Uluslararası | |
| dc.rights | info:eu-repo/semantics/closedAccess | |
| dc.snmz | KA_Scopus_20260511 | |
| dc.subject | Addition theorems; Askey–Wilson operators; Polynomial expansions; q-Exponential functions; q<sup>?1</sup> -Hermite polynomials; Translation operators | |
| dc.title | A q-Translation Approach to Liu’s Calculus | |
| dc.type | Book Chapter |
