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most citedFederated Learning Enables Big Data for Rare Cancer Boundary Detection

390 citations

Showing 2018Show all

6 papers · 1 filter

math.CO2018

New Tribonacci Recurrence Relations and Addition Formulas

Kunle Adegoke, Adenike Olatinwo, Winning Oyekanmi

Only one three-term recurrence relation, namely, , is known for the generalized Tribonacci numbers, , , defined by $W_{r}=W_{r-1}+W_{r-…

math.CO2018★ 1 cited

A new Fibonacci identity and its associated summation identities

Kunle Adegoke

We derive a new Fibonacci identity. This single identity subsumes important known identities such as those of Catalan, Ruggles, Halton and others, as well as standard general ident…

math.NT2018★ 1 cited

Linear Properties of Generalized -step Fibonacci Numbers

Kunle Adegoke

We present numerous interesting, mostly new, results involving the -step Fibonacci numbers and -step Lucas numbers and a generalization. Properties considered include recurre…

math.GM2018

Identities for second order recurrence sequences

Kunle Adegoke

We derive several identities for arbitrary homogeneous second order recurrence sequences with constant coefficients. The results are then applied to present a unified study of six…

math.NT2018★ 13 cited

Weighted sums of some second-order sequences

Kunle Adegoke

We derive weighted summation identities involving the second order recurrence sequence defined by $w_0 = a,\,w_1 = b;\,w_n = pw_{n - 1} - qw_{n - 2}\…

math.GR2018★ 5 cited

Holomorphic Structure of Middle Bol Loops

Tèmítópé Gbóláhàn Jaíyéolá, Sunday Peter David, Emmanuel Ilojide +1

A loop is called a middle Bol loop if it obeys the identity . To every right (left) Bol loop corresponds a middle B…