λ-q-Sheffer sequence and its applications

• Autorzy: Kim Taekyun , Kim Dae San , Kim Hye Kyung

Identyfikatory

DOI

10.1515/dema-2022-0174

• Języki publikacji: EN

Abstrakty

EN

Recently, Kim-Kim [J. Math. Anal. Appl. 493 (2021), no. 1] introduced the degenerate Sheffer sequence and λ-Sheffer sequence. The purpose of this article is to study λ-q-Sheffer sequence and the degenerate q-Sheffer sequence, which are derived from the view point of degenerate umbral calculus and investigate some properties related to those sequences. In addition, we give some new identities associated with q-special polynomials arising from our investigation.

Słowa kluczowe

EN

q-exponential functions; q-umbral calculus; λ-umbral calculus; q-Bernoulli polynomials; q-Euler polynomials

PL

funkcja eksponencjalna; rachunek umbralny; wielomiany Bernoulliego; wzór Eulera

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2022
• Tom: Vol. 55, nr 1
• Strony: 843--865
• Opis fizyczny: Bibliogr. 39 poz.

Twórcy

autor

Kim Taekyun

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

autor

Kim Dae San

• Department of Mathematics, Sogang University, Seoul 121-742, 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

PL

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).