1 |
Y. Meng, A new identity involving balancing polynomials and balancing numbers, Symmetry, 11(2019), 1141.
DOI
|
2 |
G. Ozdemir and Y. Simsek, Identities and relations associated with Lucas and some special sequences, AIP Conf. Proc., 1863(2017), 300003.
|
3 |
P. K. Ray, Balancing polynomials and their derivatives, Ukrainian Math. J., 69(4) (2017), 646-663.
DOI
|
4 |
N. J. A. Sloane, editor, The On-Line Encyclopedia of Integer Sequences, available at https://oeis.org.
|
5 |
T. Wang and Z. Zhang, Recurrence sequences and Norlund-Euler polynomials, Fibonacci Quart., 34(4)(1996), 314-319.
|
6 |
P. T. Young, Congruences for Bernoulli-Lucas sums, Fibonacci Quart., 55(5)(2017), 201-212.
|
7 |
T. Zhang and Y. Ma, On generalized Fibonacci polynomials and Bernoulli numbers, J. Integer Seq., 8(2005), Article 05.5.3.
|
8 |
R. P. Kelisky, On formulas involving both the Bernoulli and Fibonacci numbers, Scripta Math., 23(1957), 27-32.
|
9 |
B. K. Patel, N. Irmak and P. K. Ray, Incomplete balancing and Lucas-balancing numbers, Math. Reports, 20(70)(1)(2018), 59-72.
|
10 |
Z. Zhang and L. Guo, Recurrence sequences and Bernoulli polynomials of higher order, Fibonacci Quart., 33(3)(1995), 359-362.
|
11 |
D. Castellanos, A generalization of Binet's formula and some of its consequences, Fibonacci Quart., 27(5)(1989), 424-438.
|
12 |
K. Dilcher, Bernoulli and Euler Polynomials, in: F. W. J. Olver, D. M. Lozier, R. F. Boisvert, C. W. Clark (eds.), NIST Handbook of Mathematical Functions, Cambridge University Press, 2010.
|
13 |
R. Frontczak, On balancing polynomials, Appl. Math. Sci., 13(2019), 57-66.
DOI
|
14 |
R. Frontczak, Relating Fibonacci numbers to Bernoulli numbers via balancing polynomials, J. Integer Seq., 22(2019), Article 19.5.3.
|
15 |
R. Frontczak and T. Goy, Additional close links between balancing and Lucas-balancing polynomials, Adv. Stud. Contemp. Math., 31(3)(2021), 287-300.
|
16 |
R. Frontczak and T. Goy, More Fibonacci-Bernoulli relations with and without balancing polynomials, Math. Comm., 26(2021), 215-226.
|
17 |
R. Frontczak and Z. Tomovski, Generalized Euler-Genocchi polynomials and Lucas numbers, Integers, 20(2020), #A52.
|
18 |
P. F. Byrd, Relations between Euler and Lucas numbers, Fibonacci Quart., 13(1975), 111-114.
|
19 |
D. S. Kim and T. Kim, On sums of finite products of balancing polynomials, J. Comput. Appl. Math., 377(2020), 112913.
DOI
|
20 |
T. Kim, C. S. Ryoo, D. S. Kim and J. Kwon, A difference of sum of finite product of Lucas-balancing polynomials, Adv. Stud. Contemp. Math., 30(1)(2020), 121-134.
|
21 |
T. Kim, D. S. Kim, D. V. Dolgy and J. Kwon, A note on sums of finite products of Lucas-balancing polynomials, Proc. Jangjeon Math. Soc., 23(1)(2020), 1-22.
|