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2021•arXiv (Cornell University)Open access

[Infinite Order of Growth of Solutions of Second Order Linear Differential Equations

Naveen Mehra, V. P. Pande

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Abstract

Considering differential equation f''+A(z)f'+B(z)f=0, where A(z) and B(z) are entire complex functions, our results revolve around proving all non-trivial solutions are of infinite order taking various restrictions on coefficients A(z) and B(z).

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Considering differential equation f''+A(z)f'+B(z)f=0, where A(z) and B(z) are entire complex functions, our results revolve around proving all non-trivial solutions are of infinite order taking various restrictions on coefficients A(z) and B(z).

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Available abstract

Considering differential equation f''+A(z)f'+B(z)f=0, where A(z) and B(z) are entire complex functions, our results revolve around proving all non-trivial solutions are of infinite order taking various restrictions on coefficients A(z) and B(z).

Key concepts: Order (exchange), Linear differential equation, Mathematics, Differential equation, Differential (mechanical device), Mathematical analysis, Applied mathematics, Pure mathematics

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