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- W4226530015 abstract "In this paper, we define a group of solutions x(t) that are sine and cosine to the upper limit of integration in a non-elementary integral that can be arbitrary. We will also define a group of solutions x(t) that are equal to the amplitude. This is a generalized amplitude function. We are using Abel’s methods, described by Armitage and Eberlein. And finally, we define an exponential function whose exponent is the product of a complex number and the upper limit of integration in a non-elementary integral that can be arbitrary. At least three groups of non-elementary functions are special cases of this complex function." @default.
- W4226530015 created "2022-05-05" @default.
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- W4226530015 date "2022-01-01" @default.
- W4226530015 modified "2023-10-01" @default.
- W4226530015 title "On Two New Groups of Non-Elementary Functions That Are Giving Solutions to Some Second-Order Nonlinear Autonomous ODEs" @default.
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- W4226530015 doi "https://doi.org/10.4236/jamp.2022.103050" @default.
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