The logarithmic fibbinomial formula
A.K.Kwasniewski
TL;DR
This paper introduces a logarithmic analogue of the fibbinomial formula, extending the concept to fibonomial coefficients with a new combinatorial interpretation.
Contribution
It presents the first logarithmic fibbinomial formula and provides a combinatorial interpretation for fibonomial coefficients.
Findings
Logarithmic fibbinomial formula derived
Combinatorial interpretation for fibonomial coefficients established
Extension of binomial concepts to Fibonacci-based coefficients
Abstract
Roman logarithmic binomial formula analogue has been found . It is presented here also for the case of fibonomial coefficients which recently have been given a combinatorial interpretation by the present author.
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Taxonomy
TopicsMathematics and Applications · Stochastic processes and statistical mechanics · Advanced Mathematical Theories and Applications