EN
GENERALIZED IDENTITIES OF BIVARIATE FIBONACCI AND BIVARIATE LUCAS POLYNOMIALS
Abstract
In this paper, we present generalized identities of bivariate Fibonacci polynomials and bivariate Lucas polynomials and related identities consisting even and odd terms. Binet’s formula will employ to obtain the identities. Also we describe and derive sums and connection formulae.
Keywords
References
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- Catalani, M., (2004 ‘a’). Some Formulae for Bivariate Fibonacci and Lucas Polynomials. http://front.math.ucdavis.edu/math.CO/0406323
- Catalani, M., (2004 ‘b’). Identities for Fibonacci and Lucas Polynomials derived from a book of Gould. http://front.math.ucdavis.edu/math.CO/0407105
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Details
Primary Language
English
Subjects
Engineering
Journal Section
Research Article
Publication Date
December 31, 2020
Submission Date
June 7, 2020
Acceptance Date
December 27, 2020
Published in Issue
Year 2020 Volume: 1 Number: 2
APA
Panwar, Y., Gupta, V. K., & Bhandari, J. (2020). GENERALIZED IDENTITIES OF BIVARIATE FIBONACCI AND BIVARIATE LUCAS POLYNOMIALS. Journal of Amasya University the Institute of Sciences and Technology, 1(2), 142-150. https://izlik.org/JA63UN74BM
AMA
1.Panwar Y, Gupta VK, Bhandari J. GENERALIZED IDENTITIES OF BIVARIATE FIBONACCI AND BIVARIATE LUCAS POLYNOMIALS. J. Amasya Univ. Inst. Sci. Technol. 2020;1(2):142-150. https://izlik.org/JA63UN74BM
Chicago
Panwar, Yashwant, V. K. Gupta, and Jaya Bhandari. 2020. “GENERALIZED IDENTITIES OF BIVARIATE FIBONACCI AND BIVARIATE LUCAS POLYNOMIALS”. Journal of Amasya University the Institute of Sciences and Technology 1 (2): 142-50. https://izlik.org/JA63UN74BM.
EndNote
Panwar Y, Gupta VK, Bhandari J (December 1, 2020) GENERALIZED IDENTITIES OF BIVARIATE FIBONACCI AND BIVARIATE LUCAS POLYNOMIALS. Journal of Amasya University the Institute of Sciences and Technology 1 2 142–150.
IEEE
[1]Y. Panwar, V. K. Gupta, and J. Bhandari, “GENERALIZED IDENTITIES OF BIVARIATE FIBONACCI AND BIVARIATE LUCAS POLYNOMIALS”, J. Amasya Univ. Inst. Sci. Technol., vol. 1, no. 2, pp. 142–150, Dec. 2020, [Online]. Available: https://izlik.org/JA63UN74BM
ISNAD
Panwar, Yashwant - Gupta, V. K. - Bhandari, Jaya. “GENERALIZED IDENTITIES OF BIVARIATE FIBONACCI AND BIVARIATE LUCAS POLYNOMIALS”. Journal of Amasya University the Institute of Sciences and Technology 1/2 (December 1, 2020): 142-150. https://izlik.org/JA63UN74BM.
JAMA
1.Panwar Y, Gupta VK, Bhandari J. GENERALIZED IDENTITIES OF BIVARIATE FIBONACCI AND BIVARIATE LUCAS POLYNOMIALS. J. Amasya Univ. Inst. Sci. Technol. 2020;1:142–150.
MLA
Panwar, Yashwant, et al. “GENERALIZED IDENTITIES OF BIVARIATE FIBONACCI AND BIVARIATE LUCAS POLYNOMIALS”. Journal of Amasya University the Institute of Sciences and Technology, vol. 1, no. 2, Dec. 2020, pp. 142-50, https://izlik.org/JA63UN74BM.
Vancouver
1.Yashwant Panwar, V. K. Gupta, Jaya Bhandari. GENERALIZED IDENTITIES OF BIVARIATE FIBONACCI AND BIVARIATE LUCAS POLYNOMIALS. J. Amasya Univ. Inst. Sci. Technol. [Internet]. 2020 Dec. 1;1(2):142-50. Available from: https://izlik.org/JA63UN74BM