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A Course of Modern Analysis
TLDR
The volume now gives a somewhat exhaustive account of the various ramifications of the subject, which are set out in an attractive manner and should become indispensable, not only as a textbook for advanced students, but as a work of reference to those whose aim is to extend the knowledge of analysis.
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Bessel Functions. (Scientific Books: A Treatise on the Theory of Bessel Functions)
1. Bessel functions before 1826 2. The Bessel coefficients 3. Bessel functions 4. Differential equations 5. Miscellaneous properties of Bessel functions 6. Integral representations of Bessel…
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A Course of Modern Analysis: An Introduction to the General Theory of Infinite Processes and of Analytic Functions; with an Account of the Principal Transcendental Functions
THE first edition of this admirable and well-known treatise was the single-handed work of Prof. Whittaker, and was published in 1902. Into the second edition, which was published thirteen years later…
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The Diffraction of Electric Waves by the Earth
During the last 15 years, the problem of determining the effect at a distant point of the earth’s surface due to a Hertzian oscillator emitting waves of a definite frequency has been the subject of…
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The Transmission of Electric Waves Round the Earth
On the hypothesis that the Earth consists of an imperfectly conducting sphere surrounded by infinite homogeneous dielectric, I have recently obtained a complete solution (in a form adapted for…
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A Course of Modern Analysis: THE TRANSCENDENTAL FUNCTIONS
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A Theory of Asymptotic Series
TLDR
So far as diverging power series are concerned, the theory of Borel is more precise than that of Poincare, and, ten years later, Borel enunciated his theory of summability in connection with oscillating series.
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The Hypergeometric Function
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Mathieu Functions
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A Course of Modern Analysis: The Equations of Mathematical Physics
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