Page 10 - Handbook Of Integral Equations

1.7. Equations Whose Kernels Contain Combinations of Elementary Functions
1.7-1. Kernels Containing Exponential and Hyperbolic Functions
1.7-2. Kernels Containing Exponential and Logarithmic Functions
1.7-3. Kernels Containing Exponential and Trigonometric Functions
1.7-4. Kernels Containing Hyperbolic and Logarithmic Functions
1.7-5. Kernels Containing Hyperbolic and Trigonometric Functions
1.7-6. Kernels Containing Logarithmic and Trigonometric Functions
1.8. Equations Whose Kernels Contain Special Functions
1.8-1. Kernels Containing Bessel Functions
1.8-2. Kernels Containing Modified Bessel Functions
1.8-3. Kernels Containing Associated Legendre Functions
1.8-4. Kernels Containing Hypergeometric Functions
1.9. Equations Whose Kernels Contain Arbitrary Functions
1.9-1. Equations With Degenerate Kernel: K(x, t)= g 1 (x)h 1 (t)+ g 2 (x)h 2 (t)
1.9-2. Equations With Difference Kernel: K(x, t)= K(x – t)
1.9-3. Other Equations
1.10. Some Formulas and Transformations
2. Linear Equations of the Second Kind With Variable Limit of Integration
2.1. Equations Whose Kernels Contain Power-Law Functions
2.1-1. Kernels Linear in the Arguments x and t
2.1-2. Kernels Quadratic in the Arguments x and t
2.1-3. Kernels Cubic in the Arguments x and t
2.1-4. Kernels Containing Higher-Order Polynomials in x and t
2.1-5. Kernels Containing Rational Functions
2.1-6. Kernels Containing Square Roots and Fractional Powers
2.1-7. Kernels Containing Arbitrary Powers
2.2. Equations Whose Kernels Contain Exponential Functions
2.2-1. Kernels Containing Exponential Functions
2.2-2. Kernels Containing Power-Law and Exponential Functions
2.3. Equations Whose Kernels Contain Hyperbolic Functions
2.3-1. Kernels Containing Hyperbolic Cosine
2.3-2. Kernels Containing Hyperbolic Sine
2.3-3. Kernels Containing Hyperbolic Tangent
2.3-4. Kernels Containing Hyperbolic Cotangent
2.3-5. Kernels Containing Combinations of Hyperbolic Functions
2.4. Equations Whose Kernels Contain Logarithmic Functions
2.4-1. Kernels Containing Logarithmic Functions
2.4-2. Kernels Containing Power-Law and Logarithmic Functions
2.5. Equations Whose Kernels Contain Trigonometric Functions
2.5-1. Kernels Containing Cosine
2.5-2. Kernels Containing Sine
2.5-3. Kernels Containing Tangent
2.5-4. Kernels Containing Cotangent
2.5-5. Kernels Containing Combinations of Trigonometric Functions
2.6. Equations Whose Kernels Contain Inverse Trigonometric Functions
2.6-1. Kernels Containing Arccosine
2.6-2. Kernels Containing Arcsine
2.6-3. Kernels Containing Arctangent
2.6-4. Kernels Containing Arccotangent

© 1998 by CRC Press LLC

© 1998 by CRC Press LLC
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