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A note on -Fubini polynomials

SERKAN ARACI|MEHMET ACIKGOZ|UGUR DURAN
장전수학회 (Jangjeon Mathematical Society)|2019.04|Advanced Studies in Contemporary Mathematics|제29권 제2호|pp. 211-224

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참고문헌

키워드

Fubini polynomialsGenerating functionStirling numbers of the second kindCauchy productq-analysis
주제분류수학

초록

Motivated by the construction of the generating functions of q-Bernoulli polynomials and q-Euler polynomials satisfying with their important results, we de…ne a new q-class of the Fubini polynomials. We give some new properties including correlations with the number S2;q (n; k) given in the paper. We also de…ne two types q-Fubini polynomials with three parameters and then provide several correlations and identities.

Abstract

Motivated by the construction of the generating functions of q-Bernoulli polynomials and q-Euler polynomials satisfying with their important results, we de…ne a new q-class of the Fubini polynomials. We give some new properties including correlations with the number S2;q (n; k) given in the paper. We also de…ne two types q-Fubini polynomials with three parameters and then provide several correlations and identities.

참고문헌 (22)

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관련 논문AI추천

A NEW FAMILY OF FUBINI TYPE NUMBERS AND POLYNOMIALS ASSOCIATED WITH APOSTOL-BERNOULLI NUMBERS AND POLYNOMIALSNeslihan Kilar, Yilmaz Simsek대한수학회 · 대한수학회지2017 · 제54권 제5호A NOTE ON DEGENERATE FUBINI POLYNOMIALS김대산, 김택연, 장광우장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2017 · 제20권 제4호A Note on $(p,q)$-analogue Type of Frobenius-Genocchi Numbers and PolynomialsIdrees A. Khan, Waseem A. Khan영남수학회 · East Asian Mathematical Journal2020 · 제36권 제1호ON CENTRAL FUBINI POLYNOMIALS ASSOCIATED WITH CENTRAL FACTORIAL NUMBERS OF THE SECOND KIND권종겸, 김대산, 김태균장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2018 · 제21권 제4호NOTE ON CARLITZ’S TYPE q-EULER NUMBERS AND POLYNOMIALS김영희, 김태균, 이병제장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2010 · 제13권 제2호A new class of $q$-Hermite-based Apostol type Frobenius Genocchi polynomials강정욱, Waseem A. Khan대한수학회 · 대한수학회논문집2020 · 제35권 제3호

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