Reciprocal series involving Horadam numbers
Kunle Adegoke, Robert Frontczak, Taras Goy
TL;DR
This paper evaluates new finite and infinite reciprocal sums involving Horadam numbers, providing specific examples with Fibonacci and Lucas sums, and extends the results to three-parameter families.
Contribution
It introduces new three-parameter families of reciprocal sums involving Horadam numbers and derives their finite and infinite sum formulas.
Findings
Derived formulas for finite reciprocal sums involving Horadam numbers
Extended results to infinite sums of these series
Presented specific examples with Fibonacci and Lucas sums
Abstract
We evaluate some new three parameter families of finite reciprocal sums involving Horadam numbers. We will also be able to state the results for the infinite sums. Some Fibonacci and Lucas sums will be presented as examples.
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Taxonomy
TopicsAdvanced Mathematical Theories and Applications · Advanced Mathematical Identities · Advanced Mathematical Theories