Title:
|
On some identities for the Fibonomial coefficients (English) |
Author:
|
Seibert, Jaroslav |
Author:
|
Trojovský, Pavel |
Language:
|
English |
Journal:
|
Mathematica Slovaca |
ISSN:
|
0139-9918 |
Volume:
|
55 |
Issue:
|
1 |
Year:
|
2005 |
Pages:
|
9-19 |
. |
Category:
|
math |
. |
MSC:
|
05A15 |
MSC:
|
05A19 |
MSC:
|
11B39 |
idZBL:
|
Zbl 1108.11019 |
idMR:
|
MR2178532 |
. |
Date available:
|
2009-09-25T14:24:05Z |
Last updated:
|
2012-08-01 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/130423 |
. |
Reference:
|
[1] CARLITZ L.: Generating functions for powers of a certain sequence of numbers.Duke Math. J. 29 (1962), 521-537. MR 0140476 |
Reference:
|
[2] FONTENÉ G.: Généralisation ďune formule connue.Nouv. Ann. (4) 15 (1915), 112. |
Reference:
|
[3] GOULD H. W.: The bracket function and Fontené Ward generalized binomial coefficients with application to Fibinomial coefficients.Fibonacci Quart. 7 (1969), 23-40. MR 0242691 |
Reference:
|
[4] HORADAM A. F.: Generating functions for powers of a certain generalized sequence of numbers.Duke Math. J. 32 (1965), 437-446. Zbl 0131.04104, MR 0177975 |
Reference:
|
[5] HOLTE J. M.: Residues of generalized binomial coefficients modulo primes.Fibonacci Quart. 38 (2000), 227-238. MR 1756791 |
Reference:
|
[6] JARDEN D.: Recurring sequences.Riveon Lematimatika (Israel) (1958). MR 0098201 |
Reference:
|
[7] RIORDAN J.: Generating functions for powers of Fibonacci numbers.Duke Math. J. 29 (1962), 5-12. Zbl 0101.28801, MR 0132023 |
Reference:
|
[8] SHANNON A. G.: A method of Carlitz applied to the k-th power generating function for Fibonacci numbers.Fibonacci Quart. 12 (1974), 293-299. Zbl 0287.10010, MR 0349570 |
Reference:
|
[9] TORRETTO R.- FUCHS A.: Generalized binomial coefficients.Fibonacci Quart. 2 (1964), 296-302. MR 0173655 |
Reference:
|
[10]
: .http:/www.search.att.com/projects/OEIS=A0055870. |
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