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Inhaltsangabe
I. Hankel Transforms.- 1.1 General Formulas.- 1.2 Transforms of Order Zero.- 1.3 Transforms of Order Unity.- Transforms of General Order.- 1.4 Algebraic Functions and Powers with Arbitrary Index.- 1.5 Exponential and Logarithmic Functions.- 1.6 Trigonometric and Inverse Trigonometric Functions.- 1.7 Orthogonal Polynomials.- 1.8 Miscellaneous Functions.- 1.9 Legendre Functions.- 1.10 Bessel Functions of Argument x.- 1.11 Bessel Functions of Other Arguments.- 1.12 Modified Bessel Functions of Argument x.- 1.13 Modified Bessel Functions of Other Arguments.- 1.14 Functions Related to Bessel Functions.- 1.15 Parabolic Cylinder Functions.- 1.16 Whittaker Functions.- 1.17 Gauss' Hypergeometric Function.- II. Integral Transforms with Modified Bessel Functions as Kernel.- 2.1 General Formulas.- 2.2 Transforms of Order Zero.- Transforms of General Order.- 2.3 Elementary Functions.- 2.4 Higher Transcendental Functions.- III. Integral Transforms with Neumann Functions as Kernel.- 3.1 General Formulas.- 3.2 Transforms of Order Zero.- Transforms of General Order.- 3.3 Elementary Functions.- 3.4 Higher Transcendental Functions.- IV. Integral Transforms with Struve Functions as Kernel.- 4.1 General Formulas.- 4.2 Transforms of Order Zero.- 4.3 Elementary Functions.- 4.4 Higher Transcendental Functions.- V. Kontorovich-Lebedev Transforms.- VI. Transforms with Lommel Functions as Kernel.- VII. Divisor Transforms.- Appendix. List of Notations and Definitions.
I. Hankel Transforms.- 1.1 General Formulas.- 1.2 Transforms of Order Zero.- 1.3 Transforms of Order Unity.- Transforms of General Order.- 1.4 Algebraic Functions and Powers with Arbitrary Index.- 1.5 Exponential and Logarithmic Functions.- 1.6 Trigonometric and Inverse Trigonometric Functions.- 1.7 Orthogonal Polynomials.- 1.8 Miscellaneous Functions.- 1.9 Legendre Functions.- 1.10 Bessel Functions of Argument x.- 1.11 Bessel Functions of Other Arguments.- 1.12 Modified Bessel Functions of Argument x.- 1.13 Modified Bessel Functions of Other Arguments.- 1.14 Functions Related to Bessel Functions.- 1.15 Parabolic Cylinder Functions.- 1.16 Whittaker Functions.- 1.17 Gauss' Hypergeometric Function.- II. Integral Transforms with Modified Bessel Functions as Kernel.- 2.1 General Formulas.- 2.2 Transforms of Order Zero.- Transforms of General Order.- 2.3 Elementary Functions.- 2.4 Higher Transcendental Functions.- III. Integral Transforms with Neumann Functions as Kernel.- 3.1 General Formulas.- 3.2 Transforms of Order Zero.- Transforms of General Order.- 3.3 Elementary Functions.- 3.4 Higher Transcendental Functions.- IV. Integral Transforms with Struve Functions as Kernel.- 4.1 General Formulas.- 4.2 Transforms of Order Zero.- 4.3 Elementary Functions.- 4.4 Higher Transcendental Functions.- V. Kontorovich-Lebedev Transforms.- VI. Transforms with Lommel Functions as Kernel.- VII. Divisor Transforms.- Appendix. List of Notations and Definitions.
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