A note on λ-analogue of Lah numbers and λ-analogue of r-Lah numbers

• Autorzy: Kim Taekyun , Kim Hye Kyung

Identyfikatory

DOI

10.1515/dema-2024-0065

• Języki publikacji: EN

Abstrakty

EN

In this study, we introduce the λ-analogue of Lah numbers and λ-analogue of r-Lah numbers in the view of degenerate version, respectively. We investigate their properties including recurrence relation and several identities of λ-analogue of Lah numbers arising from degenerate differential operators. Using these new identities, we study the normal ordering of degenerate integral power of the number operator in terms of boson operators, which is represented by means of λ-analogue of Lah numbers and λ-analogue of r-Lah numbers, respectively.

Słowa kluczowe

EN

Lah numbers; degenerate Stirling numbers of the second kind; degenerate differential operator; normal ordering; number operator

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2024
• Tom: Vol. 57, nr 1
• Strony: art. no. 20240065
• Opis fizyczny: Bibliogr. 18 poz.

Twórcy

autor

Kim Taekyun

• Department of Mathematics, Kwangwoon University, Seoul 139-701, Republic of Korea

autor

Kim Hye Kyung

• Department of Mathematics Education, Daegu Catholic University, Gyeongsan 38430, Republic of Korea

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2026).