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College Mathematics II: My Study Notes

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Special Functions
Fourier Transforms
Laplace Transforms

Chapter 7: SPECIAL FUNCTIONS
1. Gamma Functions
2. Beta Functions
3. Bessel Functions
3.1. Bessel equation for zero order
3.2. Properties of Bessel functions
3.3. Bessel functions of order one (n = 1)
3.4. Relationships between Bessel functions of orders zero and one
3.5. Lammel’ s integrals
3.6. Fourier-Bessel expansions of zero order
3.7. Vibration of uniformly stretched membrane
3.8. Application of Bessel functions on conduction of heat
3.9. Modif...