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Generalized Solutions of Ordinary Differential Equations Related to the Chebyshev Polynomial of the Second Kind

Generalized Solutions of Ordinary Differential Equations Related to the Chebyshev Polynomial of the Second Kind

In this work, we employed the Laplace transform of right-sided distributions in conjunction with the power series method to obtain distributional solutions to the modified Bessel equation and its related equation, whose coefficients contain the parameters ν and γ. We demonstrated that the solutions can be expressed as finite linear …