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.

Bibliographic Details
Main Author: Neşe Ömür
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2012/684280