논문KCI 등재
A NOTE ON q-ANALOGUE OF CATALAN NUMBERS ARISING FROM FERMIONIC p-ADIC q-INTEGRAL ON Zp
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초록
Catalan numbers appear in many different contexts in combinatorics and some practical problems. In this paper, we introduce q-analogues of Catalan numbers arising from a fermionic p-adic q-integral on Zp, and derive explicit expressions and some identities for those numbers.
Abstract
Catalan numbers appear in many different contexts in combinatorics and some practical problems. In this paper, we introduce q-analogues of Catalan numbers arising from a fermionic p-adic q-integral on Zp, and derive explicit expressions and some identities for those numbers.
참고문헌 (20)
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관련 논문AI추천
A NOTE ON CATALAN NUMBERS ASSOCIATED WITH p-ADIC INTEGRAL ON Zp김태균장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2016 · 제19권 제3호SYMMETRIC IDENTITIES FOR AN ANALOGUE OF CATALAN POLYNOMIALS김대산, 김태균, 서종진장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2016 · 제19권 제3호EXPLICIT EXPRESSIONS FOR CATALAN-DAEHEE NUMBERS김대산, 김태균, 장관우, Dmitry V. Dolgy장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2017 · 제20권 제1호REVISIT SYMMETRIC IDENTITIES FOR THE λ-CATALAN POLYNOMIALS UNDER THE SYMMETRY GROUP OF DEGREE n권혁인, 김태균장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2016 · 제19권 제4호TRIPLE SYMMETRIC IDENTITIES FOR w-CATALAN POLYNOMIALS김대산, 김태균대한수학회 · 대한수학회지2017 · 제54권 제4호p-adic q-integral on Zp associated with Frobenius-type Eulerian polynomials and umbral calculusD.S. Kim, H.Y. Lee, T. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2013 · 제23권 제2호
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