Quaternionic Serret-Frenet Frames for Fuzzy Split Quaternion Numbers by Cansel Yormaz, Simge Simsek, Serife Naz Elmas

“…Then, we give some differential geometric properties of this fuzzy quaternion. Moreover, we construct the Frenet frame for fuzzy split quaternions. …”
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On generalized quaternion algebras by George Szeto

Subjects: “…quaternion rings…”
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On the Eneström–Kakeya theorem for quaternionic polynomials by Mir, Abdullah, Ahmad, Abrar

“…In this paper, we present certain results concerning the distribution of zeros of polynomials of a quaternionic variable and with quaternionic coefficients. …”
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The field of moduli of quaternionic multiplication on abelian varieties by Victor Rotger

“…We consider principally polarized abelian varieties with quaternionic multiplication over number fields and we study the field of moduli of their endomorphisms in relation to the set of rational points on suitable Shimura varieties.…”
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On Uncertainty Principle for Quaternionic Linear Canonical Transform by Kit Ian Kou, Jian-Yu Ou, Joao Morais

“…We generalize the linear canonical transform (LCT) to quaternion-valued signals, known as the quaternionic linear canonical transform (QLCT). …”
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On the Solutions of Some Linear Complex Quaternionic Equations by Cennet Bolat, Ahmet İpek

“…Some complex quaternionic equations in the type AX-XB=C are investigated. …”
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A Note on Frames in Quaternionic Hilbert Spaces by Sumit Sharma, Raksha Sharma

“…In this paper, we define a modified version of frame in quaternionic Hilbert spaces (QHS) and give a necessary condition for a  block Bessel sequence in terms of a bounded right linear operator. …”
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The Regularity of Functions on Dual Split Quaternions in Clifford Analysis by Ji Eun Kim, Kwang Ho Shon

“…This paper shows some properties of dual split quaternion numbers and expressions of power series in dual split quaternions and provides differential operators in dual split quaternions and a dual split regular function on Ω⊂ℂ2×ℂ2 that has a dual split Cauchy-Riemann system in dual split quaternions.…”
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Regularity of Functions on the Reduced Quaternion Field in Clifford Analysis by Ji Eun Kim, Su Jin Lim, Kwang Ho Shon

“…From the properties of regular functions, we research the exponential function on the reduced quaternion field and represent the corresponding Cauchy-Riemann equations in hypercomplex structures of ℝ3.…”
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Signature Scheme Using the Root Extraction Problem on Quaternions by Baocang Wang, Yupu Hu

“…The root extraction problem over quaternion rings modulo an RSA integer is defined, and the intractability of the problem is examined. …”
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On the Ricci tensor of real hypersurfaces of quaternionic projective space by Juan De Dios Perez

“…We study some conditions on the Ricci tensor of real hypersurfaces of quaternionic projective space obtaining among other results an improvement of the main theorem in [9].…”
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Convolution Theorems for Quaternion Fourier Transform: Properties and Applications by Mawardi Bahri, Ryuichi Ashino, Rémi Vaillancourt

“…General convolution theorems for two-dimensional quaternion Fourier transforms (QFTs) are presented. …”
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Properties of Generalized Bronze Fibonacci Sequences and Their Hyperbolic Quaternions by Engin Özkan, Hakan Akkuş, Alkan Özkan

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Quaternion modeling of the helical path for analysis of the shape of the DNA molecule by A. F. Muterko

Subjects: “…quaternion modeling…”
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A Version of Uncertainty Principle for Quaternion Linear Canonical Transform by Mawardi Bahri, Resnawati, Selvy Musdalifah

“…In recent years, the two-dimensional (2D) quaternion Fourier and quaternion linear canonical transforms have been the focus of many research papers. …”
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Some Fixed Points Results of Quadratic Functions in Split Quaternions by Young Chel Kwun, Mobeen Munir, Waqas Nazeer, Shin Min Kang

“…We attempt to find fixed points of a general quadratic polynomial in the algebra of split quaternion. In some cases, we characterize fixed points in terms of the coefficients of these polynomials and also give the cardinality of these points. …”
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Four symmetric systems of the matrix equations with an application over the Hamilton quaternions by Long-Sheng Liu, Shuo Zhang, Hai-Xia Chang

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Quaternion Fractional Fourier Transform: Bridging Signal Processing and Probability Theory by Muhammad Adnan Samad, Yuanqing Xia, Saima Siddiqui, Muhammad Younus Bhat, Didar Urynbassarova, Altyn Urynbassarova

Subjects: “…quaternion fractional Fourier transform…”
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A Simplified Proof of Uncertainty Principle for Quaternion Linear Canonical Transform by Mawardi Bahri, Ryuichi Ashino

“…We provide a short and simple proof of an uncertainty principle associated with the quaternion linear canonical transform (QLCT) by considering the fundamental relationship between the QLCT and the quaternion Fourier transform (QFT). …”
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On the Periods of 2-Step General Fibonacci Sequences in the Generalized Quaternion Groups by Bahram Ahmadi, Hossein Doostie

“…We study 2-step general Fibonacci sequences in the generalized quaternion groups Q4n. In cases where the sequences are proved to be simply periodic, we obtain the periods of 2-step general Fibonacci sequences.…”
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