Extended Fibonacci numbers and polynomials with probability applications

Extended Fibonacci numbers and polynomials with probability applications

Blog Article

The extended Fibonacci sequence of numbers and polynomials Shakes is introduced and studied.The generating function, recurrence relations, an expansion in terms of multinomial coefficients, and several properties of the extended Fibonacci numbers and polynomials Sandals are obtained.Interesting relations between them and probability problems which take into account lengths of success and failure runs are also established.