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COMBINATORIAL IDENTITIES DEGENERATE r-DOWLING-LAH POLYNOMIALS AND NUMBERS ARISING FROM DEGENERATE UMBRAL CALCULUS

Hye Kyung Kim
장전수학회 (Jangjeon Mathematical Society)|2022.07|Advanced Studies in Contemporary Mathematics|제32권 제3호|pp. 303-324

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참고문헌

키워드

degenerate Euler polynomialsdegenerate Bernoulli polynomialsr-Whitney-Lah numbersr-Doeling-Lah numbers polynomials and numbersdegenerate Daehee polynomials
주제분류수학

초록

Whitney numbers and Dowling polynomials are applied in various fields as well as combinatorics and number theory, and many scholars have been studying them. Also, the study of degenerate special polynomials and numbers has been studied by many scholars in recent years. In this paper, we introduce the degenerate r-Dowling-Lah polynomials and numbers and derive various identities between the degenerate r-Dowling-Lah polynomials and special polynomials and numbers by using degenerate umbral calculus.

Abstract

Whitney numbers and Dowling polynomials are applied in various fields as well as combinatorics and number theory, and many scholars have been studying them. Also, the study of degenerate special polynomials and numbers has been studied by many scholars in recent years. In this paper, we introduce the degenerate r-Dowling-Lah polynomials and numbers and derive various identities between the degenerate r-Dowling-Lah polynomials and special polynomials and numbers by using degenerate umbral calculus.

참고문헌 (31)

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관련 논문AI추천

SOME IDENTITIES OF DEGENERATE r-DOWLING POLYNOMIALS OF THE SECOND KIND ARISING FROM UMBRAL CALCULUS김혜경장전수학회 · Advanced Studies in Contemporary Mathematics2022 · 제32권 제4호SOME IDENTITIES OF DEGENERATE r-EXTENDED LAH-BELL POLYNOMIALS김혜경, Dae Sik Lee장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2021 · 제24권 제1호ON THE RECIPROCAL DEGENERATE LAH-BELL POLYNOMIALS AND NUMBERS김병문, 박진우, Yunjae Kim장전수학회 · Advanced Studies in Contemporary Mathematics2022 · 제32권 제1호NOTE ON EXTENDED LAH-BELL POLYNOMIALS AND DEGENERATE EXTENDED LAH-BELL POLYNOMIALS김혜경, 이대식장전수학회 · Advanced Studies in Contemporary Mathematics2020 · 제30권 제4호ON THE EXTENSION OF DEGENERATE STIRLING POLYNOMIALS OF THE SECOND KIND AND DEGENERATE BELL POLYNOMIALS권혁인, 김태균, 장관우장전수학회 · Advanced Studies in Contemporary Mathematics2018 · 제28권 제2호On partially degenerate Bell numbers and polynomials김대산, 김택연, DMITRY V. DOLGY장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2017 · 제20권 제3호

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