On Reciprocal Series of Generalized Fibonacci Numbers with Subscripts in Arithmetic Progression

Neşe Ömür

Discrete Dynamics in Nature and Society, 2012, vol. 2012, 1-7

Abstract:

We investigate formulas for closely related series of the forms: ∑ ∞ ð ‘› = 0 1 / ( 𠑈 ð ‘Ž ð ‘› + ð ‘ + ð ‘ ) , ∑ ∞ ð ‘› = 0 ( − 1 ) ð ‘› 𠑈 ð ‘Ž ð ‘› + ð ‘ / ( 𠑈 ð ‘Ž ð ‘› + ð ‘ + ð ‘ ) 2 , ∑ ∞ ð ‘› = 0 𠑈 2 ( ð ‘Ž ð ‘› + ð ‘ ) / ( 𠑈 2 ð ‘Ž ð ‘› + ð ‘ + ð ‘ ) 2 for certain values of ð ‘Ž , ð ‘ , and ð ‘ .

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:684280

DOI: 10.1155/2012/684280

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