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Applications of umbral algebra to some special polynomials
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In this work, we study on umbral algebra and generating functions for the Hermite type Genocchi polynomials and numbers. We introduce some properties of this algebra and polynomials.
Abstract
In this work, we study on umbral algebra and generating functions for the Hermite type Genocchi polynomials and numbers. We introduce some properties of this algebra and polynomials.
참고문헌 (6)
- P. Blasiak, "Representations of monomiality principle with She¤er-type polynomials and boson normal ordering", Phys. Lett. A, 352, pp.7~12 (2006)
- G. Dattoli, "She¤er polynomials, monomiality principle, algebraic methods and the theory of classical polynomials", Math. Comput. Modelling, 45, pp.1033~1041 (2007)
- R. Dere, "Genocchi polynomials associated with the Umbral algebra", Appl. Math. Comput, 218(3), pp.756~761 (2011)
- R. Dere, "Bernoulli type polynomials on Umbral Algebra", ~
- L. M. Milne-Thomson, "Two classes of generalized polynomials", Proc. London Math. Soc, 35(1), pp.514~522 (1933)
- S. Roman, "The Umbral Calculus" (2005), Dover Publ. Inc
관련 논문AI추천
On the Hermite based Genocchi polynomialsBURAK KURT, YILMAZ SIMSEK장전수학회 · Advanced Studies in Contemporary Mathematics2013 · 제23권 제1호Some Properties of the Generalized Apostol Type Hermite- Based PolynomialsWaseem Ahmad Khan경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2015 · 제55권 제3호Modified Apostol-type polynomials arising from umbral calculusHacer Ozden, Toufik Mansour, Yilmaz Simsek장전수학회 · Advanced Studies in Contemporary Mathematics2014 · 제24권 제2호A family of associated sequences and their representations by Appell polynomials김대산, 김태균, 김한영, 이현석, 장이채장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2020 · 제23권 제4호Relations between generalized Hermite-based Apostol-Bernoulli, Euler and Genocchi polynomialsA. Chaturvedi, Parkriti Rai장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2020 · 제23권 제1호A NOTE ON ASSOCIATED SEQUENCES OF POLYNOMIALS김태균, 박진우, 임석훈, DMITRY V. DOLGY장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2013 · 제16권 제2호
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