Special transforms of the generalized bivariate Fibonacci and Lucas polynomials

Nazmiye Yılmaz; İbrahim Aktaş

Makale detayları

Special transforms of the generalized bivariate Fibonacci and Lucas polynomials

Yazarlar:

Nazmiye Yılmaz | İbrahim Aktaş

Yayıncı:

Hacettepe University

Ana Başlıklar:

Mathematical Sciences

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.52 Issue 3, pp.640-651

Belge Tipi:

Makale

Yayın Tarihi:

5/2023

Belge Dili:

İngilizce

Document ID (Org No.):

2001290016

pISSN:

2651-477X

Anahtar kelimeler:

Özet:

 This paper deals with the Catalan, Hankel, binomial transforms of the generalized bivariate Fibonacci and Lucas polynomials. Also, some useful results such as generating functions, Binet formulas, summations of transforms defined by using recurrence relations of these special polynomials are presented. Furthermore, certain important relations among these transforms are deduced by using obtained new formulas. Finally, the Catalan, Cassini, Vajda and dOcagne formulas for these transforms are also derived.

 This paper deals with the Catalan, Hankel, binomial transforms of the generalized bivariate Fibonacci and Lucas polynomials. Also, some useful results such as generating functions, Binet formulas, summations of transforms defined by using recurrence relations of these special polynomials are presented. Furthermore, certain important relations among these transforms are deduced by using obtained new formulas. Finally, the Catalan, Cassini, Vajda and dOcagne formulas for these transforms are also derived.

 This paper deals with the Catalan, Hankel, binomial transforms of the generalized bivariate Fibonacci and Lucas polynomials. Also, some useful results such as generating functions, Binet formulas, summations of transforms defined by using recurrence relations of these special polynomials are presented. Furthermore, certain important relations among these transforms are deduced by using obtained new formulas. Finally, the Catalan, Cassini, Vajda and dOcagne formulas for these transforms are also derived.

 This paper deals with the Catalan, Hankel, binomial transforms of the generalized bivariate Fibonacci and Lucas polynomials. Also, some useful results such as generating functions, Binet formulas, summations of transforms defined by using recurrence relations of these special polynomials are presented. Furthermore, certain important relations among these transforms are deduced by using obtained new formulas. Finally, the Catalan, Cassini, Vajda and dOcagne formulas for these transforms are also derived.

Makale detayları

Special transforms of the generalized bivariate Fibonacci and Lucas polynomials

Yazarlar:

Nazmiye Yılmaz | İbrahim Aktaş

Yayıncı:

Hacettepe University

Ana Başlıklar:

Mathematical Sciences

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.52 Issue 3, pp.640-651

Belge Tipi:

Makale

Yayın Tarihi:

5/2023

Belge Dili:

İngilizce

Document ID (Org No.):

2001290016

pISSN:

2651-477X

binomial transform

bivariate Fibonacci polynomials

Catalan transform

Hankel transform

Horadam polynomials

Sayı

Makale detayları

Special transforms of the generalized bivariate Fibonacci and Lucas polynomials

Yazarlar: Nazmiye Yılmaz | İbrahim Aktaş

Yayıncı: Hacettepe University

Ana Başlıklar: Mathematical Sciences

Dergi: Hacettepe Journal of Mathematics and Statistics Vol.52 Issue 3, pp.640-651

Belge Tipi: Makale

Yayın Tarihi: 5/2023

Belge Dili: İngilizce

Document ID (Org No.): 2001290016

pISSN: 2651-477X

binomial transform

bivariate Fibonacci polynomials

Catalan transform

Hankel transform

Horadam polynomials

Sayı

Yazarlar:

Nazmiye Yılmaz | İbrahim Aktaş

Yayıncı:

Hacettepe University

Ana Başlıklar:

Mathematical Sciences

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.52 Issue 3, pp.640-651

Belge Tipi:

Makale

Yayın Tarihi:

5/2023

Belge Dili:

İngilizce

Document ID (Org No.):

2001290016

pISSN:

2651-477X