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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Wiley
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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| _version_ | 1832554649142427648 |
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| author | Neşe Ömür |
| author_facet | Neşe Ömür |
| author_sort | Neşe Ömür |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-966cbdf529904e58b08d1b71d81bd1a7 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-966cbdf529904e58b08d1b71d81bd1a72025-02-03T05:50:57ZengWileyDiscrete 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 |
| spellingShingle | Neşe Ömür On Reciprocal Series of Generalized Fibonacci Numbers with Subscripts in Arithmetic Progression Discrete Dynamics in Nature and Society |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2012/684280 |
| work_keys_str_mv | AT neseomur onreciprocalseriesofgeneralizedfibonaccinumberswithsubscriptsinarithmeticprogression |