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Dergiler / Turkish Journal of Mathematics / 2020 / Cilt: 44 - Sayı: 4

A Study on Horadam Hybrid Numbers

Tuncay Deniz ŞENTÜRK
Göksal BİLGİCİ
Ahmet DAŞDEMİR
Zafer ÜNAL
Sayfa
1212–1221
Yayın Tarihi
2020-08-01
DOI
—
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In addition, we offer Honsberger formula, general bilinear formula, and some summation formulas for these numbers.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we study Horadam hybrid numbers.
📊
Temel Bulgular & Veri:For these numbers, we give the exponential generating function, Poisson generating function, generating matrix, Vajda's, Catalan's, Cassini's, and d'Ocagne's identities.
💡
Sonuç & Katkı:In addition, we offer Honsberger formula, general bilinear formula, and some summation formulas for these numbers.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Hybrid number · Horadam hybrid number · Horadam sequence

Abstract

In this paper, we study Horadam hybrid numbers. For these numbers, we give the exponential generating function, Poisson generating function, generating matrix, Vajda's, Catalan's, Cassini's, and d'Ocagne's identities. In addition, we offer Honsberger formula, general bilinear formula, and some summation formulas for these numbers.

🔖

Bu Makaleye Atıf Yap

ŞENTÜRK, T. D., BİLGİCİ, G., DAŞDEMİR, A., ÜNAL, Z. (2020). A Study on Horadam Hybrid Numbers. Turkish Journal of Mathematics, Cilt: 44 - Sayı: 4, 1212–1221. https://ajindex.com/articles/185505

Kaynakça (12)

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  6. Horadam AF. Basic properties of a certain generalized sequence of numbers. The Fibonacci Quarterly 1965; 3 (2): 161-77
  7. Horadam AF. Generating functions for powers of a certain generalized sequence of numbers. Duke Mathematical Journal 1965; 32 (3): 437-446
  8. Horadam AF. Special Properties of the Sequence Wn(a, b; p, q). The Fibonacci Quarterly 1967; 5 (5): 424-434
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  11. Szynal-Liana A. The Horadam Hybrid Numbers. Discussiones Mathematicae-General Algebra and Applications 2018; 38 (1): 91-98
  12. Szynal-Liana A, Włoch I. On Jacobsthal and Jacobsthal-Lucas hybrid numbers. Annales Mathematicae Silesianae. Sciendo 2019; 33 (1): 276-283.