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AuthorOberhettinger, Fritz. author
TitleTables of Bessel Transforms [electronic resource] / by Fritz Oberhettinger
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1972
Connect tohttp://dx.doi.org/10.1007/978-3-642-65462-6
Descript X, 290 p. online resource

CONTENT

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 Gaussโ{128}{153} 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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