본문 바로가기
KERD
논문KCI 등재

ON FINITE TIMES DEGENERATE CHANGHEE NUMBERS AND POLYNOMIALS WITH SOME APPLICATIONS

임동규|마민영
장전수학회 (Jangjeon Mathematical Society)|2020.04|Advanced Studies in Contemporary Mathematics|제30권 제2호|pp. 207-222

2

조회

0

다운로드

1

인용

0

참고문헌

키워드

degenerate Changhee polynomialsChanghee numbershigher order Changhee numbershigher order degenerate Changhee polynomialsk-times degenerate Changhee polynomialsk-times degenerate higher order Changhee numbersexponential random variable
주제분류수학

초록

In this paper, the authors consider nite times degenerate Changhee numbers and polynomials, and degenerate higher-order Changhee numbers and polynomials. We investigate some identities and properties of these numbers and polynomials relate with various special numbers and polynomials. Re- garding applications, we show that those Changhee numbers can be expressed by the probability distributions of appropriate random variables.

Abstract

In this paper, the authors consider nite times degenerate Changhee numbers and polynomials, and degenerate higher-order Changhee numbers and polynomials. We investigate some identities and properties of these numbers and polynomials relate with various special numbers and polynomials. Re- garding applications, we show that those Changhee numbers can be expressed by the probability distributions of appropriate random variables.

참고문헌 (19)

  1. S. Araci, "On a q-analog of some numbers and polynomials", J. Inequal Appl., 19 (2015)
  2. L. Carlitz, "Degenerate Stirling, Bernoulli and Eulerian numbers", Utilitas Math., 15, pp.51~88 (1979)
  3. L. Comtet, "Advanced Combinatorics" (1974), Reidel
  4. Feller, W., "An Introduction to Probability Theory and Its Application" (1970), John Wiley
  5. D. V. Dolgy, "Some identities of ordinary and degenerate Bernoulli numbers and polynomials", Symmetry, 11, pp.847~ (2019)
  6. D. S. Kim, "Note on Changhee polynomials and numbers", Adv. Studies-Theor. Phys, 7(20), pp.993~1003 (2013)
  7. D. S. Kim, "Higher-order Changhee numbers and polynomials", Adv. Stud. Theor. Phys, 8(8), pp.365~373 (2014)
  8. T. Kim, "q-Volkenborn integration", Russ. J. Math. Phys., 9(3), pp.288~299 (2002)
  9. T. Kim, "A note on q-Volkenborn integration", Proc. Jangjeon Math. Soc., 8(1), pp.13~17 (2005)
  10. T. Kim, "A note on p -adic q-integral on Z_p associated with q-Euler numbers", Advanced Studies in Contemporary Mathematics, 15(2), pp.133~137 (2007), 장전수학회
  11. 김태균, "ON THE DEGENERATE CAUCHY NUMBERS AND POLYNOMIALS", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 18(3), pp.307~312 (2015), 장전수학회
  12. T. Kim, "Some identities on derangement and degenerate derangement polynomi-als", Russian J. Math. Phys., 25, pp.300~308 (2018)
  13. 김태균, "A note on discrete degenerate random variables", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 23(1), pp.125~135 (2020), 장전수학회
  14. T. Kim, "Degenerate Stirling Polynomials of the Second Kind and Some Applications", Symmetry, 11(8), pp.1046~ (2019)
  15. T. Kim, "Some identities involving special numbers and moments of random variables", Rocky Mountain J. Math., 49(2), pp.521~538 (2019)
  16. H. I. Kwon, "A NOTE ON DEGENERATE CHANGHEE NUMBERS AND POLYNOMIALS", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 18(3), pp.295~305 (2015), 장전수학회
  17. J. Kwon, "On modified degenerate Changhee polynomials and numbers", J. Non-linear Sci. Appl., 9(12), pp.6294~6301 (2016)
  18. M. Koutras, "Non-central stirling numbers and some applications", Discret. Math., 42, pp.73~89 (1982)
  19. S. M. Ross, "it Introduction to Probability Models" (2007), Academic Press

관련 논문AI추천

A NOTE ON DEGENERATE CHANGHEE NUMBERS AND POLYNOMIALS김태균, H. I. Kwon, J.-J. SEO장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2015 · 제18권 제3호ON TYPE 2 DEGENERATE CHANGHEE POLYNOMIALS김윤재, 박진우장전수학회 · Advanced Studies in Contemporary Mathematics2022 · 제32권 제2호Some identities of the partially degenerate Changhee-Genocchi polynomials and numbers권종겸, 김윤재, 손교용, 이정곤장전수학회 · Advanced Studies in Contemporary Mathematics2019 · 제29권 제4호Degenerate Changhee numbers and polynomials of the second kind김대산, 김태균, 장관우장전수학회 · Advanced Studies in Contemporary Mathematics2017 · 제27권 제4호SOME IDENTITIES OF CARLITZ'S TYPE DEGENERATE q-CHANGHEE POLYNOMIALS AND NUMBERS박진우, Jongkyum Kwon, Yunjae Kim장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2021 · 제24권 제1호SOME IDENTITIES OF THE DEGENERATE CHANGHEE NUMBERS OF SECOND KIND ARISING FROM DIFFERENTIAL EQUATIONS권종겸, 이진호, 장관우, 정세교장전수학회 · Advanced Studies in Contemporary Mathematics2018 · 제28권 제4호

이 간행물의 다른 논문 (11건)

GENERALIZED TYPE 2 DEGENERATE EULER NUMBERS김대산, 유천성, 김태균pp. 166-169Some Properties of q-Distance EnergyIsmail Naci CANGUL, M. R. Rajesh Kanna, R. Pradeep Kumar, Soner Nandappa Dpp. 171-185A note on $lanbda$-Bernoulli numbers of the second kind김대산, 김태균, 이현석, 권종겸pp. 187-196Generalized difference sequence spacesABDUL HAMID GANIEpp. 197-206A generalized net model of biometric access control systemKrassimir Atanassov, VELIN ANDONOV, Georgi Gluhchevpp. 223-230
원문 보기