On singularities and solution of the extended hypergeometric differential equation

DOI10.1080/10652460008819248zbMath0962.33009OpenAlexW1985469244WikidataQ115295895 ScholiaQ115295895MaRDI QIDQ4500488

L. M. B. C. Campos

Publication date: 27 August 2000

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460008819248

zbMATH Keywords

Mathieu equationHill equationsGauss equationregular and irregular singularities

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Classical hypergeometric functions, ({}_2F_1) (33C05) Asymptotic expansions of solutions to ordinary differential equations (34E05) Lamé, Mathieu, and spheroidal wave functions (33E10) Hypergeometric functions (33C99) Boundary behavior of power series in one complex variable; over-convergence (30B30)

Related Items (1)

On some solutions of the extended confluent hypergeometric differential equation

Cites Work

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• On three-dimensional acoustic-gravity waves in model nonisothermal atmospheres
• Exact and approximate methods for Alfvén waves in dissipative atmospheres
• On hydromagnetic waves in atmospheres with application to the Sun
• The special functions and their approximations. Vol. I, II
• Sound propagation in a fluid flowing through an attenuating duct
• On the properties of hydromagnetic waves in the vicinity of critical levels and transition layers
• Characterization of acoustic disturbances in linearly sheared flows
• The scattering of sound by a simple shear layer
• Acoustics of a Splitter Plate

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