On reciprocal series of generalized Fibonacci numbers with subscripts in arithmetic progression
type: Item
instance of: scholarly article
title: On reciprocal series of generalized Fibonacci numbers with subscripts in arithmetic progression
zbMATH Open document ID: 1248.11013
DOI: 10.1155/2012/684280
published in: Discrete Dynamics in Nature and Society
publication date: 2012-03-13T00:00:00Z
review text: Summary: We investigate formulas for closely related series of the forms: \[ \sum^\infty_{n=0} 1/(U_{an+b} + c),\quad \sum^\infty_{n=0} (-1)^n U_{an+b}/(U_{an+b} + c)^2, \quad \sum^\infty_{n=0} U_{2(an+b)}/(U^2_{an+b} + c)^2 \] for certain values of \(a, b\), and \(c\).
Mathematics Subject Classification ID: 11B39
zbMATH DE Number: 6014538
Wikidata QID: Q58700707
author: Neşe Ömür
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/684280
OpenAlex ID: W2015052549
description: scientific article; zbMATH DE number 6014538