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math.GM2024
General convolution sums involving Fibonacci m-step numbers
Robert Frontczak, Karol Gryszka
In this paper, using a generating function approach, we derive several new convolution sum identities involving Fibonacci m-step numbers. As special instances of the results derive…
math.GM2024
Three new classes of binomial Fibonacci sums
Robert Frontczak
In this paper, we introduce three new classes of binomial sums involving Fibonacci (Lucas) numbers and weighted binomial coefficients.