SOME IDENTITIES OF TYPE 2 DEGENERATE POLY-GENOCCHI NUMBERS AND POLYNOMIALS
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초록
The purpose of this paper is to introduce a new version of the degenerate poly-Genocchi polynomials and numbers called the type 2 degenerate poly-Genocchi polynomials and numbers by the modification of degenerate polyexponential function in the generating function. To investigate the properties of the proposed polynomials and numbers, we derive several explicit expressions and identities induced from new generating function. Also, we present some relations between the type 2 degenerate poly-Genocchi polynomials and numbers and some other well-known special polynomials and numbers. In addition, we consider the higher-order type 2 degenerate Genocchi polynomials and show some interesting identities involving those polynomials and the type 2 higherorder Changhee polynomials.
Abstract
The purpose of this paper is to introduce a new version of the degenerate poly-Genocchi polynomials and numbers called the type 2 degenerate poly-Genocchi polynomials and numbers by the modification of degenerate polyexponential function in the generating function. To investigate the properties of the proposed polynomials and numbers, we derive several explicit expressions and identities induced from new generating function. Also, we present some relations between the type 2 degenerate poly-Genocchi polynomials and numbers and some other well-known special polynomials and numbers. In addition, we consider the higher-order type 2 degenerate Genocchi polynomials and show some interesting identities involving those polynomials and the type 2 higherorder Changhee polynomials.
참고문헌 (31)
- Berrut, J.P, "Barycentric Lagrange Interpolation", SIAM Review, 46(3), pp.501~517 (2004)
- I. N.. Cangul, "ON THE HIGHER-ORDER w-q-GENOCCHI NUMBERS", Advanced Studies in Contemporary Mathematics, 19(1), pp.39~57 (2009), 장전수학회
- Carlitz, L., "Degenerate Stirling, Bernoulli and Eulerian numbers", Utilitas Math, 15, pp.51~88 (1979)
- Dolgy, D. V., "A note on the polyexponential Genocchi polynomials and numbers", Symmetry (2020)
- U. Duran, "SYMMETRIC IDENTITIES INVOLVING WEIGHTED q-GENOCCHI POLYNOMIALS UNDER S4", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 18(4), pp.455~465 (2015), 장전수학회
- 장이채, "A study on the distribution of twisted q-Genocchi polynomials", Advanced Studies in Contemporary Mathematics, 18(2), pp.181~189 (2009), 장전수학회
- Jang, L.-C., "A note on degenerate poly-Genocchi numbers and polynomaisl", Adv. Difference Equ, 2020 (2020)
- Khan,W. A., "A New Family of Degenerate Poly-Genocchi Polynomials with Its Certain Properties", J. Funct. Spaces, 2021 (2020)
- Kim, D. S., "A note on polyexponential and unipoly functions", Russ. J. Math. Phys, 26(1), pp.40~49 (2019)
- Kim, D. S., "A note on a new type of degenerate Bernoulli numbers", Russ. J. Math. Phys, 27(2), pp.227~235 (2020)
- Kim, T., "Degenerate poly-Bell polynomials and numbers", Adv. Difference Equ, 2021 (2021)
- Kim, T., "Degenerate poly-Bernoulli polynomials arising from degenerate polygarithm", Adv. Difference Equ, 2020 (2020)
- Kim, T., "Degenerate polyexponential functions and type 2 degenerate poly-Bernoulli numbers and polynomials", Adv. Difference Equ, 2020 (2020)
- Kim, T., "Some identities of type 2 degenerate Bernoulli polynomials of the second kind", Symmetry, 2020 (2020)
- Kim, T., "Degenerate polyexponential functions and degenerate Bell polynomials", J. Math. Anal. appl, 487(2), pp.124017~ (2020)
- Kim, T., "Some identities of extended degenerate r-central Bell polynomials arising from umbral calculus", Rev. R. Acad. Cienc. Exactas F´is. Nat. Ser. A Mat. RACSAM, 114(1), pp.19~ (2020)
- Kim, T., "A note on central Bell numbers and polynomials", Russ. J. Math. Phys, 27(1), pp.76~81 (2020)
- Kim, T., "Some results on degenerate Daehee and Bernoulli numbers and polynomials", Adv. Difference Equ, 2020 (2020)
- Kim, T., "Degenerate binomial coefficients and degenerate hypergeometric functions", Adv. Difference Equ, 2020 (2020)
- 김택연, "A NOTE ON DEGENERATE FUBINI POLYNOMIALS", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 20(4), pp.521~531 (2017), 장전수학회[DOI]
- BURAK KURT, "On the Hermite based Genocchi polynomials", Advanced Studies in Contemporary Mathematics, 23(1), pp.13~17 (2013), 장전수학회
- Kwon, J., "Some identities for degenerate complete and incomplete r-Bell polynomials", J. Inequal. Appl, 2020, pp.9~ (2020)
- Kwon, J., "A note on degenerate generalized q-Genocchi polynomials", J. Comput. Anal. Appl, 22(5), pp.923~928 (2017)
- 임동규, "Some identities of degenerate Genocchi polynomials", 대한수학회보, 53(2), pp.569~579 (2016), 대한수학회
- Liu, C., "Application of probabilistic method on Daehee sequences", Eur. J. Pure Appl. Math, 11(1), pp.69~78 (2018)
- Lee, D. S., "On the new type of degenerate poly-Genocchi numbers and polynomials", Adv. Differ. Equ, 2020(431) (2020)
- Pak. H.-k., "Changhee-Genocchi numbers and their applications", Ars Combin, 136, pp.153~159 (2018)
- 임석훈, "ON THE q-GENOCCHI NUMBERS AND POLYNOMIALS ASSOCIATED WITH q-ZETA FUNCTION", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 12(3), pp.261~267 (2009), 장전수학회
- 1984, , ~
- Simsek, Y., "q-Genocchi numbers and polynomials associated with q-Genocchi type functions", Adv. Difference Equ, pp.12~ (2008)
- Wuyungaowa, "Identities on products of Genocchi numbers", J. Inequal. Appl, 2013, pp.10~ (2013)