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

A Study on Horadam Hybrid Numbers

Göksal BİLGİCİ
Tuncay Deniz ŞENTÜRK
Zafer ÜNAL
Ahmet DAŞDEMİR
Sayfa
1212–1221
Yayın Tarihi
2022-11-05
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Inaddition, 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 generatingfunction, Poisson generating function, generating matrix, Vajda’s, Catalan’s, Cassini’s, and d’Ocagne’s identities.
💡
Sonuç & Katkı:Inaddition, we offer Honsberger formula, general bilinear formula, and some summation formulas for these numbers.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

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

🔖

Bu Makaleye Atıf Yap

BİLGİCİ, G., ŞENTÜRK, T. D., ÜNAL, Z., DAŞDEMİR, A. (2022). A Study on Horadam Hybrid Numbers. Turkish Journal of Mathematics, Cilt: 44 - Sayı: 4, 1212–1221. https://ajindex.com/articles/607491

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Kaynakça (12)

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  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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  10. Rochon D, Tremblay S. Bicomplex quantum mechanics: II The Hilbert space. Advances in Applied Clifford Algebras 2006; 16 (2): 135-157
  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.