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On the Fourier transform of Bessel functions over complex numbers—II: The general case [PDF]
Transactions of the American Mathematical Society, 2016 In this paper, we prove an exponential integral formula for the Fourier transform of Bessel functions over complex numbers, along with a radial exponential integral formula. The former will enable us to develop the complex spectral theory of the relative
Zhi Qi
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Developing complex analysis textbook to enhance students’ critical thinking
Journal of Research and Advances in Mathematics Education, 2020 Critical thinking skill was needed since problems in daily life required a solution. To solve the problems, the students collect the data as a consideration in making the right decision. Moreover, the students also need good critical thinking skills.
Fariz Setyawan +2 more
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Pythagoras, 2023 This study explored the utilisation of GeoGebra as a modelling tool to develop undergraduate engineering mathematics students’ conceptual and procedural knowledge of complex numbers.
Philemon M. Seloane +2 more
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Analyzing Self-Explanations in Mathematics: Gestures and Written Notes Do Matter
Frontiers in Psychology, 2020 When learners self-explain, they try to make sense of new information. Although research has shown that bodily actions and written notes are an important part of learning, previous analyses of self-explanations rarely take into account written and non ...
Alexander Salle
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Journal of Modern Dynamics, 2015 We investigate the notion of complex rotation number which was introduced by V.I.Arnold in 1978. Let $f: \mathbb R/\mathbb Z \to \mathbb R/\mathbb Z$ be an orientation preserving circle diffeomorphism and let $ω\in \mathbb C/\mathbb Z$ be a parameter with positive imaginary part.
Goncharuk, Nataliya, Buff, Xavier
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On Jacobsthal and Jacobsthal-Lucas Hybrid Numbers
Annales Mathematicae Silesianae, 2019 The hybrid numbers are generalization of complex, hyperbolic and dual numbers. In this paper we consider special kinds of hybrid numbers, namely the Jacobsthal and the Jacobsthal-Lucas hybrid numbers and we give some their properties.
Szynal-Liana Anetta, Włoch Iwona
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On Harmonic Complex Balancing Numbers
Mathematics, 2022 In the present work, we define harmonic complex balancing numbers by considering well-known balancing numbers and inspiring harmonic numbers. Mainly, we investigate some of their basic characteristic properties such as the Binet formula and Cassini ...
Fatih Yılmaz +2 more
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, 2021 This is the English version of the paper: "Complejidad de los números naturales", Gaceta de la Real Sociedad Matemática Española 3 (2000) 230--250. In this paper, several conjectures about the complexity of natural numbers are proposed. In a recent joint paper with H.
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Discussiones Mathematicae - General Algebra and Applications, 2018 In this paper we introduce the Horadam hybrid numbers and give some their properties: Binet formula, character and generating function.
Szynal-Liana Anetta
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Notes on Number Theory and Discrete Mathematics, 2022 In this study, we introduce the complex Leonardo numbers and give some of their properties including Binet formula, generating function, Cassini and d’Ocagne’s identities.
A. Karataş
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