On complex oscillation, function-theoretic quantization of non-homogeneous periodic ordinary differential equations and special functions

DOI10.1017/S0308210510000223zbMath1259.34091arXiv1002.3853MaRDI QIDQ2895824

Yik-Man Chiang, Kit-Wing Yu

Publication date: 4 July 2012

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.3853

zbMATH Keywords

exponent of convergencecomplex oscillationperiodic ODE

Mathematics Subject Classification ID

Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05) Oscillation, growth of solutions to ordinary differential equations in the complex domain (34M10)

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Value distribution of exponential polynomials and their role in the theories of complex differential equations and oscillation theory

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