On Reciprocal Series of Generalized Fibonacci Numbers with Subscripts in Arithmetic Progression
We investigate formulas for closely related series of the forms: ∑∞𝑛=01/(𝑈𝑎𝑛+𝑏+𝑐), ∑∞𝑛=0(−1)𝑛𝑈𝑎𝑛+𝑏/(𝑈𝑎𝑛+𝑏+𝑐)2, ∑∞𝑛=0𝑈2(𝑎𝑛+𝑏)/(𝑈2𝑎𝑛+𝑏+𝑐)2 for certain values of 𝑎, 𝑏, and 𝑐.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2012-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2012/684280 |
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doaj-966cbdf529904e58b08d1b71d81bd1a72020-11-25T00:19:48ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2012-01-01201210.1155/2012/684280684280On Reciprocal Series of Generalized Fibonacci Numbers with Subscripts in Arithmetic ProgressionNeşe Ömür0Department of Mathematics, Kocaeli University, 41380 Izmit, TurkeyWe investigate formulas for closely related series of the forms: ∑∞𝑛=01/(𝑈𝑎𝑛+𝑏+𝑐), ∑∞𝑛=0(−1)𝑛𝑈𝑎𝑛+𝑏/(𝑈𝑎𝑛+𝑏+𝑐)2, ∑∞𝑛=0𝑈2(𝑎𝑛+𝑏)/(𝑈2𝑎𝑛+𝑏+𝑐)2 for certain values of 𝑎, 𝑏, and 𝑐.http://dx.doi.org/10.1155/2012/684280 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Neşe Ömür |
| spellingShingle |
Neşe Ömür On Reciprocal Series of Generalized Fibonacci Numbers with Subscripts in Arithmetic Progression Discrete Dynamics in Nature and Society |
| author_facet |
Neşe Ömür |
| author_sort |
Neşe Ömür |
| title |
On Reciprocal Series of Generalized Fibonacci Numbers with Subscripts in Arithmetic Progression |
| title_short |
On Reciprocal Series of Generalized Fibonacci Numbers with Subscripts in Arithmetic Progression |
| title_full |
On Reciprocal Series of Generalized Fibonacci Numbers with Subscripts in Arithmetic Progression |
| title_fullStr |
On Reciprocal Series of Generalized Fibonacci Numbers with Subscripts in Arithmetic Progression |
| title_full_unstemmed |
On Reciprocal Series of Generalized Fibonacci Numbers with Subscripts in Arithmetic Progression |
| title_sort |
on reciprocal series of generalized fibonacci numbers with subscripts in arithmetic progression |
| publisher |
Hindawi Limited |
| series |
Discrete Dynamics in Nature and Society |
| issn |
1026-0226 1607-887X |
| publishDate |
2012-01-01 |
| description |
We investigate formulas for closely related series of the forms: ∑∞𝑛=01/(𝑈𝑎𝑛+𝑏+𝑐),
∑∞𝑛=0(−1)𝑛𝑈𝑎𝑛+𝑏/(𝑈𝑎𝑛+𝑏+𝑐)2,
∑∞𝑛=0𝑈2(𝑎𝑛+𝑏)/(𝑈2𝑎𝑛+𝑏+𝑐)2 for certain values of 𝑎, 𝑏, and 𝑐. |
| url |
http://dx.doi.org/10.1155/2012/684280 |
| work_keys_str_mv |
AT neseomur onreciprocalseriesofgeneralizedfibonaccinumberswithsubscriptsinarithmeticprogression |
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1725370024808415232 |