Mathieu's Equation for Complex Parameters PDF Download

Author: Gertrude Blanch
Publisher:
ISBN:
Category : Eigenvalues
Languages : en
Pages : 304

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Author: J. Meixner
Publisher: Springer
ISBN: 3540384111
Category : Mathematics
Languages : en
Pages : 134

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Author: Aerospace Research Laboratories (U.S.)
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 424

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Author: Aerospace Research Laboratories (U.S.)
Publisher:
ISBN:
Category : Mathieu functions
Languages : en
Pages : 426

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Author: Milton Abramowitz
Publisher:
ISBN:
Category : Functions
Languages : en
Pages : 1078

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Author: Thor Fossen
Publisher: Springer Science & Business Media
ISBN: 1461410428
Category : Technology & Engineering
Languages : en
Pages : 329

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Parametric Resonance in Dynamical Systems discusses the phenomenon of parametric resonance and its occurrence in mechanical systems, vehicles, motorcycles, aircraft and marine craft, along micro-electro-mechanical systems. The contributors provides an introduction to the root causes of this phenomenon and its mathematical equivalent, the Mathieu-Hill equation. Also included is a discussion of how parametric resonance occurs on ships and offshore systems, and its frequency in mechanical and electrical systems. This volume is ideal for researchers and mechanical engineers working in application fields such as MEMS, maritime, aircraft and ground vehicle engineering.

Author: Milton Abramowitz
Publisher: Courier Corporation
ISBN: 0486158241
Category : Mathematics
Languages : en
Pages : 1068

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A classic resource for working with special functions, standard trig, and exponential logarithmic definitions and extensions, it features 29 sets of tables, some to as high as 20 places.

Author: E. T. Whittaker
Publisher: Cambridge University Press
ISBN: 9780521588072
Category : Mathematics
Languages : en
Pages : 620

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Book Description
This classic text is known to and used by thousands of mathematicians and students of mathematics thorughout the world. It gives an introduction to the general theory of infinite processes and of analytic functions together with an account of the principle transcendental functions.

Author: F. M. Arscott
Publisher: Elsevier
ISBN: 1483164888
Category : Mathematics
Languages : en
Pages : 295

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Book Description
Periodic Differential Equations: An Introduction to Mathieu, Lamé, and Allied Functions covers the fundamental problems and techniques of solution of periodic differential equations. This book is composed of 10 chapters that present important equations and the special functions they generate, ranging from Mathieu's equation to the intractable ellipsoidal wave equation. This book starts with a survey of the main problems related to the formation of periodic differential equations. The subsequent chapters deal with the general theory of Mathieu's equation, Mathieu functions of integral order, and the principles of asymptotic expansions. These topics are followed by discussions of the stable and unstable solutions of Mathieu's general equation; general properties and characteristic exponent of Hill's equation; and the general nature and solutions of the spheroidal wave equation. The concluding chapters explore the polynomials, orthogonality properties, and integral relations of Lamé's equation. These chapters also describe the wave functions and solutions of the ellipsoidal wave equation. This book will prove useful to pure and applied mathematicians and functional analysis.

Author: United States. National Bureau of Standards
Publisher:
ISBN:
Category : Ionospheric radio wave propagation
Languages : en
Pages : 354

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