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math.NT2023
Some applications of the Lagrange inversion formula for the -Fibonacci numbers
Bakir Farhi
The aim of this paper consists of providing summation formulas for the -Fibonacci numbers (, ) and their asymptotic equivalents in terms of generaliz…
math.CA2023
Characterization of the Bernoulli polynomials via the Raabe functional equation
Bakir Farhi
The purpose of the present paper is to show that in certain classes of real (or complex) functions, the Bernoulli polynomials are essentially the only ones satisfying the Raabe fun…