Geodesic
Generating functions of binary products of (p, q)-Fibonacci-like numbers with odd and even certain numbers and polynomials
Filomat, Tome 36 (2022) no. 14, p. 4877

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DOI

In this paper, we study the symmetric and the generating functions for odd and even terms of the second-order linear recurrence sequences. we introduce a operator in order to derive a new family of generating functions of odd and even terms of Mersenne numbers, Mersenne Lucas numbers, (p, q)-Fibonacci-like numbers, k-Pell polynomials and k-Pell Lucas polynomials. By making use of the operator defined in this paper, we give some new generating functions of the products of p, q-Fibonacci-like numbers with odd and even terms of certain numbers and polynomials.
DOI : 10.2298/FIL2214877S
Classification : 05E05, 11B39
Keywords: Symmetric functions, Generating functions, (p, q)-Fibonacci-like numbers, Odd and even k-Pell polynomials, Odd and even Mersenne Lucas numbers 
Nabiha Saba; Ali Boussayoud. Generating functions of binary products of (p, q)-Fibonacci-like numbers with odd and even certain numbers and polynomials. Filomat, Tome 36 (2022) no. 14, p. 4877 . doi: 10.2298/FIL2214877S
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     title = {Generating functions of binary products of (p, {q)-Fibonacci-like} numbers with odd and even certain numbers and polynomials},
     journal = {Filomat},
     pages = {4877 },
     year = {2022},
     volume = {36},
     number = {14},
     doi = {10.2298/FIL2214877S},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2214877S/}
}
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