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Unified Apostol-Korobov type polynomials and related polynomials

BURAK KURT
대한수학회 (The Korean Mathematical Society)|2021.03|대한수학회보 (Bulletin of the KMS)|제58권 제2호|pp. 315-326|DOI 10.4134/BKMS.b200249

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참고문헌

키워드

Changhee polynomialsApostol-Euler polynomialspoly-Bernoulli polynomialsApostol-Bernoulli polynomialsStirling numbers of the second kindpolylogarithmsthe first kind Korobov polynomialspoly-Euler polynomialsthe degenerate unified Korobov type polynomialsthe $q$-poly-Korobov polynomialsthe $q$-poly-Korobov type Changhee polynomials
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초록

Korobov type polynomials are introduced and extensively investigated many mathematicians (\cite{8,9,10,11,12,13,14}). In \ this work, we define unified Apostol Korobov type polynomials and give some recurrences relations for these polynomials. Further, we consider the $q$-poly Korobov polynomials and the $q$-poly-Korobov type Changhee polynomials. We give some explicit relations and identities above mentioned functions.

Abstract

Korobov type polynomials are introduced and extensively investigated many mathematicians (\cite{8,9,10,11,12,13,14}). In \ this work, we define unified Apostol Korobov type polynomials and give some recurrences relations for these polynomials. Further, we consider the $q$-poly Korobov polynomials and the $q$-poly-Korobov type Changhee polynomials. We give some explicit relations and identities above mentioned functions.

참고문헌 (18)

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관련 논문AI추천

EXPLICIT FORMULAS FOR KOROBOV POLYNOMIALSDMITRY V. KRUCHININ장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2017 · 제20권 제1호A new class of $q$-Hermite-based Apostol type Frobenius Genocchi polynomials강정욱, Waseem A. Khan대한수학회 · 대한수학회논문집2020 · 제35권 제3호Korobov Polynomials of the Fifth Kind and of the Sixth Kind김대산, 김태균, Hyuck In Kwon, Toufik Mansour경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2016 · 제56권 제2호Modified Apostol-type polynomials arising from umbral calculusHacer Ozden, Toufik Mansour, Yilmaz Simsek장전수학회 · Advanced Studies in Contemporary Mathematics2014 · 제24권 제2호Some Properties of the Generalized Apostol Type Hermite- Based PolynomialsWaseem Ahmad Khan경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2015 · 제55권 제3호Relations between generalized Hermite-based Apostol-Bernoulli, Euler and Genocchi polynomialsA. Chaturvedi, Parkriti Rai장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2020 · 제23권 제1호

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