본문 바로가기
KERD
논문KCI 등재

ADDITIONAL CLOSE LINKS BETWEEN BALANCING AND LUCAS-BALANCING POLYNOMIALS

TARAS GOY|ROBERT FRONTCZAK
장전수학회 (Jangjeon Mathematical Society)|2021.07|Advanced Studies in Contemporary Mathematics|제31권 제3호|pp. 287-300

0

조회

0

다운로드

1

인용

0

참고문헌

키워드

generating functionFibonacci numberLucas numberChebyshev polynomialbalancing polynomialLucas-balancing polynomial
주제분류수학

초록

Using generating functions, we derive many identities involving balancing and Lucas-balancing polynomials. By relating these polynomials to Chebyshev polynomials of the rst and second kind, and Fibonacci and Lucas numbers, we o er some presumably new combinatorial identities involving these famous sequences.

Abstract

Using generating functions, we derive many identities involving balancing and Lucas-balancing polynomials. By relating these polynomials to Chebyshev polynomials of the rst and second kind, and Fibonacci and Lucas numbers, we o er some presumably new combinatorial identities involving these famous sequences.

참고문헌 (16)

  1. A. Behera, "On the square roots of triangular numbers", Fibonacci Quart, 37(2), pp.98~105 (1999)
  2. R. Frontczak, "On balancing polynomials", Appl. Math. Sci, 13(2), pp.57~66 (2019)
  3. R. Frontczak, "Powers of balancing polynomials and some consequences for Fibonacci sums", Int. J. Math. Anal, 13(3), pp.109~115 (2019)
  4. R. Frontczak, "Some Fibonacci-Lucas-Tribonacci-Lucas identities", Fibonacci Quart, 56(3), pp.263~274 (2018)
  5. R. Frontczak, "Sums of balancing and Lucas-balancing numbers with binomial coeffi-cients", Int. J. Math. Anal, 12, pp.585~594 (2018)
  6. R. Frontczak, "Combinatorial sums associated with balancing and Lucas-balancing polynomials", Ann. Math. Inform (2020)
  7. R. Frontczak, "Mersenne-Horadam identities using generating functions", Carpathian Math. Publ, 12(1), pp.34~45 (2020)
  8. D. S. Kim, "On sums of nite products of balancing polynomials", J. Comput. Appl. Math, 377, pp.112913~ (2020)
  9. 김태균, "A DIFFERENCE OF SUMS OF FINITE PRODUCTS OF LUCAS-BALANCING POLYNOMIALS", Advanced Studies in Contemporary Mathematics, 30(1), pp.121~134 (2020), 장전수학회
  10. J. C. Mason, "Chebyshev polynomials" (2002), CRC Press
  11. Y. Meng, "A new identity involving balancing polynomials and balancing numbers", Symmetry, 11, pp.1141~ (2019)
  12. I. Mezo, "Several generating functions for second-order recurrence sequences", J. Integer Seq, 12 (2009)
  13. B. K. Patel, "Incomplete balancing and Lucas-balancing numbers", Math. Reports, 20(1)통권 : 70, pp.59~72 (2018)
  14. P. K. Ray, "Balancing polynomials and their derivatives", Ukrainian Math. J, 69(4), pp.646~663 (2017)
  15. P. K. Ray, "Identities for balancing numbers using generating function and some new congruence relations", Notes Number Theory Discrete Math, 22(4), pp.41~48 (2016)
  16. "The On-Line Encyclopedia of Integer Sequences" (2020)[URL]

관련 논문AI추천

Lucas-Euler Relations Using Balancing and Lucas-Balancing PolynomialsRobert Frontczak, TARAS GOY경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2021 · 제61권 제3호A note on sums of finite products of Lucas-balancing polynomials권종겸, 김대산, 김태균, DMITRY V. DOLGY장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2020 · 제23권 제1호Generalized k-Balancing and k-Lucas Balancing Numbers and Associated PolynomialsJagmohan Tanti, Kalika Prasad, Munesh Kumari경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2023 · 제63권 제4호A DIFFERENCE OF SUMS OF FINITE PRODUCTS OF LUCAS-BALANCING POLYNOMIALS권종겸, 김대산, 김태균, 유천성장전수학회 · Advanced Studies in Contemporary Mathematics2020 · 제30권 제1호SUMS OF BALANCING-LIKE SEQUENCES WITH BINOMIAL COEFFICIENTSG. K. Panda, S. S. Pradhan장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2020 · 제23권 제3호SOME NOTES ON A FIBONACCI-LUCAS IDENTITYKunle Adegoke, Robert Frontczak, Taras Goy장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2024 · 제27권 제4호

이 간행물의 다른 논문 (8건)

A NOTE ON q-ANALOGUE OF CATALAN NUMBERS ARISING FROM FERMIONIC p-ADIC q-INTEGRAL ON Zp권종겸, 김대산, 김태균pp. 279-286Generalized net model of intercriteria analysisKrassimir Atanassovpp. 301-309CONSTRUCTION OF GENERALIZED LEIBNITZ TYPE NUMBERS AND THEIR PROPERTIESYILMAZ SIMSEKpp. 311-323A NOTE ON THE MODIFIED TYPE 2 DEGENERATE POLY-CHANGHEE-GENOCCHI NUMBERS AND POLYNOMIALS김한영, 장이채pp. 325-333Average degree exponent sum energy of graphsM. Smitha, Y. Shanthakumari, V. Lokeshapp. 335-354
원문 보기