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Title: PQ-calculus of Fibonacci divisors and method of images in planar hydrodynamics
Authors: Pashaev, Oktay
Keywords: Fibonacci divisors
Golden calculus
Hydrodynamic images
Publisher: Springer
Abstract: By introducing the hierarchy of Fibonacci divisors and corresponding quantum derivatives, we develop the golden calculus, hierarchy of golden binomials and related exponential functions, translation operator and infinite hierarchy of Golden analytic functions. The hierarchy of Golden periodic functions, appearing in this calculus we relate with the method of images in planar hydrodynamics for incompressible and irrotational flow in bounded domain. We show that the even hierarchy of these functions determines the flow in the annular domain, bounded by concentric circles with the ratio of radiuses in powers of the Golden ratio. As an example, complex potential and velocity field for the set of point vortices with Golden proportion of images are calculated explicitly.
Description: 2nd International Conference on Mathematics and its Applications in Science and Engineering, ICMASE 2021
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection

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