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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
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Category: math
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MSC: 05A15
MSC: 05A19
MSC: 11B39
idZBL: Zbl 1108.11019
idMR: MR2178532
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Date available: 2009-09-25T14:24:05Z
Last updated: 2012-08-01
Stable URL: http://hdl.handle.net/10338.dmlcz/130423
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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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