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Theory and application of Mathieu functions. (English) Zbl 0029.02901

Oxford: At the Clarendon Press. IX, 401 S. (1947).

Digital Library of Mathematical Functions:

Arscott (1964b) and McLachlan (1947) ‣ §28.1 Special Notation ‣ Notation ‣ Chapter 28 Mathieu Functions and Hill’s Equation
§28.29(i) Hill’s Equation ‣ §28.29 Definitions and Basic Properties ‣ Hill’s Equation ‣ Chapter 28 Mathieu Functions and Hill’s Equation
§28.2(i) Mathieu’s Equation ‣ §28.2 Definitions and Basic Properties ‣ Mathieu Functions of Integer Order ‣ Chapter 28 Mathieu Functions and Hill’s Equation
1st item ‣ §28.33(ii) Boundary-Value Problems ‣ §28.33 Physical Applications ‣ Applications ‣ Chapter 28 Mathieu Functions and Hill’s Equation
1st item ‣ §28.33(iii) Stability and Initial-Value Problems ‣ §28.33 Physical Applications ‣ Applications ‣ Chapter 28 Mathieu Functions and Hill’s Equation
§28.33(ii) Boundary-Value Problems ‣ §28.33 Physical Applications ‣ Applications ‣ Chapter 28 Mathieu Functions and Hill’s Equation
§28.4(vi) Behavior for Small q ‣ §28.4 Fourier Series ‣ Mathieu Functions of Integer Order ‣ Chapter 28 Mathieu Functions and Hill’s Equation
§28.4(vi) Behavior for Small q ‣ §28.4 Fourier Series ‣ Mathieu Functions of Integer Order ‣ Chapter 28 Mathieu Functions and Hill’s Equation
§28.5(i) Definitions ‣ §28.5 Second Solutions fe n , ge n ‣ Mathieu Functions of Integer Order ‣ Chapter 28 Mathieu Functions and Hill’s Equation
Wronskians ‣ §28.5(i) Definitions ‣ §28.5 Second Solutions fe n , ge n ‣ Mathieu Functions of Integer Order ‣ Chapter 28 Mathieu Functions and Hill’s Equation
§28.9 Zeros ‣ Mathieu Functions of Integer Order ‣ Chapter 28 Mathieu Functions and Hill’s Equation
Chapter 28 Mathieu Functions and Hill’s Equation
Notations F ‣ Notations
Notations G ‣ Notations
Notations M ‣ Notations
Notations N ‣ Notations