A new class of generating functions of binary products of Gaussian numbers and polynomials

Souhila BOUGHABA; Ali BOUSSAYOUD; Mohamed KERADA

doi:https://doi.org/10.31801/cfsuasmas.597653

Makale detayları

A new class of generating functions of binary products of Gaussian numbers and polynomials

Yazarlar:

Souhila BOUGHABA | Ali BOUSSAYOUD | Mohamed KERADA

Yayıncı:

Ankara University

Ana Başlıklar:

Matematik

Dergi:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 2020 Vol.69 Issue 2, pp.1240-1255

Belge Tipi:

Makale

Yayın Tarihi:

12/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000909070

Sıklık:

Üç Aylık

eISSN:

2618-6470

pISSN:

1303-5991

DOI:

https://doi.org/10.31801/cfsuasmas.597653

Özet:

 

In this paper, we introduce a operator in order to derive some new symmetric properties of Gaussian Fibonacci numbers and Gaussian Lucas numbers. By making use of the operator defined in this paper, we give some new generating functions for Gaussian Fibonacci numbers and Gaussian Jacobsthal polynomials. In the paper Al4, Al5, a second-order linear recurrence sequence (U_{n}(a,b;p,q))_{n≥0} or briefly (U_{n})_{n≥0} is considered by the recurrence relation:U_{n+2}=pU_{n+1}+qU_{n},with the initial conditions U₀=a and U₁=b, where a,b∈ℂ and p,q∈ℤ₊ for n≥0.

 


In this paper, we introduce a operator in order to derive some new symmetric properties of Gaussian Fibonacci numbers and Gaussian Lucas numbers. By making use of the operator defined in this paper, we give some new generating functions for Gaussian Fibonacci numbers and Gaussian Jacobsthal polynomials. In the paper Al4, Al5, a second-order linear recurrence sequence (U_{n}(a,b;p,q))_{n≥0} or briefly (U_{n})_{n≥0} is considered by the recurrence relation:U_{n+2}=pU_{n+1}+qU_{n},with the initial conditions U₀=a and U₁=b, where a,b∈ℂ and p,q∈ℤ₊ for n≥0.

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Makale detayları

A new class of generating functions of binary products of Gaussian numbers and polynomials

Yazarlar: Souhila BOUGHABA | Ali BOUSSAYOUD | Mohamed KERADA

Yayıncı: Ankara University

Ana Başlıklar: Matematik

Dergi: Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 2020 Vol.69 Issue 2, pp.1240-1255

Belge Tipi: Makale

Yayın Tarihi: 12/2020

Belge Dili: İngilizce

Document ID (Org No.): 2000909070

Sıklık: Üç Aylık

eISSN: 2618-6470

pISSN: 1303-5991

DOI: https://doi.org/10.31801/cfsuasmas.597653

Sayı

Yazarlar:

Souhila BOUGHABA | Ali BOUSSAYOUD | Mohamed KERADA

Yayıncı:

Ankara University

Ana Başlıklar:

Matematik

Dergi:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 2020 Vol.69 Issue 2, pp.1240-1255

Belge Tipi:

Makale

Yayın Tarihi:

12/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000909070

Sıklık:

Üç Aylık

eISSN:

2618-6470

pISSN:

1303-5991

DOI:

https://doi.org/10.31801/cfsuasmas.597653