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A further generalization of the Euler polynomials and on the 2D-Euler polynomials
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In this work, we introduce and investigate a new generalization of the Eulerpolynomials by means of a particular generating function. We consider 2D-Euler polynomials and we establish several interesting properties of these poly-nomials. We gave four theorems. Furthermore, we prove multiplication for-mula for the 2D- Euler polynomials.
Abstract
In this work, we introduce and investigate a new generalization of the Eulerpolynomials by means of a particular generating function. We consider 2D-Euler polynomials and we establish several interesting properties of these poly-nomials. We gave four theorems. Furthermore, we prove multiplication for-mula for the 2D- Euler polynomials.
참고문헌 (10)
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- Yu. A, "Bryckov, On multiple sums of special functions", Integral Transforms Special Functions, 21(12), pp.877~884 (2010)
- F. Costabile, "A new approach to Bernoulli polynomials", Rend. Mat. Appl, 26(7), pp.1~12 (2006)
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- G. Dattoli, "Bernoulli numbers and polynomials from a more general point of view", Rend. Mat. Appl, 22(7), pp.193~202 (2002)
- B. Kurt, "A further generalization of the Bernoulli polynomials and on the 2D-Bernoulli polynomials B2 n(x; y)", Appl. Math. Sci, 4(45-48), pp.2315~2322 (2010)
- Q.-M. Luo, "The multiplication formulas for the Apostol-Bernoulli and Apostol-Euler polynomials of higher order", Integral Transforms Spec. Funct, 20, pp.377~391 (2009)
- P. Natalini, "A generalization of the Bernoulli polynomials", J. Appl. Math, 3, pp.155~163 (2003)
- K. Subuhi, "Hermite-based Appell polynomials: properties and applications", J. Math. Anal. Appl, 351(2), pp.756~764 (2009)
관련 논문AI추천
A further generalization of the Euler polynomials and on the 2D-Euler polynomialsBURAK KURT장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2012 · 제15권 제4호THEOREMS ON APOSTOL-EULER POLYNOMIALS OF HIGHER ORDER ARISING FROM EULER BASISErdogan Sen장전수학회 · Advanced Studies in Contemporary Mathematics2013 · 제23권 제2호Some identities related to the Apostol-Euler and Apostol-Bernoulli polynomialsDan Ding, Jizhen Yang장전수학회 · Advanced Studies in Contemporary Mathematics2010 · 제20권 제1호Relations between generalized Hermite-based Apostol-Bernoulli, Euler and Genocchi polynomialsA. Chaturvedi, Parkriti Rai장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2020 · 제23권 제1호Bernoulli and Euler Polynomials in Two VariablesClaudio Pita-Ruiz경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2024 · 제64권 제1호Some Identities Involving Euler Polynomials Arising from a Non-linear Differential Equation김태균, 박진우, 임석훈, 정주희경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2013 · 제53권 제4호
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