Generalized trigonometric functions and elementary applications

DOI10.1007/s40819-016-0168-5zbMath1397.33001OpenAlexW2315515291MaRDI QIDQ1788208

Elio Sabia, Emanuele Di Palma, Federico Nguyen, Giuseppe Dattoli

Publication date: 8 October 2018

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-016-0168-5

zbMATH Keywords

Bessel functionsevolution operatorgeneralized Euler identitieshigher order trigonometries

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Exponential and trigonometric functions (33B10) General integral transforms (44A05)

Cites Work

• Unnamed Item
• Hyperbolic cosines and sines theorems for the triangle formed by arcs of intersecting semicircles on Euclidean plane
• Two-dimensional geometries, topologies, trigonometries and physics generated by complex-type numbers
• From generalized Clifford algebras to Nambu's formulation of dynamics
• Complex-type numbers and generalizations of the Euler identity
• Operational methods and Lorentz-type equations of motion
• Cardan polynomials, Chebyshev exponents, ultra-radicals and generalized imaginary units
• Closed-form expressions for the matrix exponential
• Complex algebras on \(n\)-order polynomials and generalizations of trigonometry, oscillator model and Hamilton dynamics
• Multicomplex algebras on polynomials and generalized Hamilton dynamics
• Laguerre-type derivatives: Dobiński relations and combinatorial identities
• Unitary Symmetry and Nonleptonic Decays

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