New Families of Three-Variable Polynomials Coupled with Well-Known Polynomials and Numbers

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KIZILATEŞ C., ÇEKİM B., TUĞLU N., Kim T.

SYMMETRY-BASEL, cilt.11, sa.2, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 11 Sayı: 2
  • Basım Tarihi: 2019
  • Doi Numarası: 10.3390/sym11020264
  • Dergi Adı: SYMMETRY-BASEL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Fibonacci polynomials, Lucas polynomials, trivariate Fibonacci polynomials, trivariate Lucas polynomials, generating functions, FIBONACCI, EQUATIONS
  • Gazi Üniversitesi Adresli: Evet

Özet

In this paper, firstly the definitions of the families of three-variable polynomials with the new generalized polynomials related to the generating functions of the famous polynomials and numbers in literature are given. Then, the explicit representation and partial differential equations for new polynomials are derived. The special cases of our polynomials are given in tables. In the last section, the interesting applications of these polynomials are found.