5 papers
Some Weighted Generalized Fibonacci Number Summation Identities, Part 1
M. J. Kronenburg
The Fibonacci number is the residue of a rational function, from which follows that Fibonacci number summation identities can be derived with the integral representation method, a…
Four New Generalized Fibonacci Number Summation Identities
M. J. Kronenburg
Two new generalized Fibonacci number summation identities are stated and proved, and two other new generalized Fibonacci number summation identities are derived from these, of whic…
Some Variations of Two Combinatorial Identities
M. J. Kronenburg
Given two combinatorial identities proved earlier, a new set of variations of these combinatorial identities is listed and proved with the integral representation method. Some iden…
Some Identities involving Two Sets of Basis Vectors and the Metric and Mixed Matrices
M. J. Kronenburg
Given two sets of basis vectors in n-dimensional space, there exists a relation between their lengths and mutual angles, expressed as relations between the two metric matrices and…
Some Combinatorial Identities from the Random Walk
M. J. Kronenburg
Eight combinatorial identities are listed and proved by counting paths in the one-dimensional random walk. Four of these identities are assumed to be new.