New binomial Fibonacci sums
Kunle Adegoke, Robert Frontczak, Taras Goy
TL;DR
This paper introduces new summation identities involving binomial coefficients and Fibonacci, Lucas, and Fibonacci-Lucas numbers, expanding the mathematical understanding of these sequences.
Contribution
It provides novel linear, quadratic, cubic, and quartic identities for Fibonacci, Lucas, and Fibonacci-Lucas sums, which were not previously documented.
Findings
New binomial Fibonacci sum identities
Extended the known identities to higher degrees
Contributed to the mathematical theory of Fibonacci-related sums
Abstract
We present some new linear, quadratic, cubic and quartic binomial Fibonacci, Lucas and Fibonacci--Lucas summation identities.
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Taxonomy
TopicsAdvanced Mathematical Theories and Applications · Advanced Mathematical Identities · Advanced Mathematical Theories