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Tables of Bessel Transforms

Tables of Bessel Transforms Paperback - 1972

by F. Oberhettinger

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Details

  • Title Tables of Bessel Transforms
  • Author F. Oberhettinger
  • Binding Paperback
  • Condition New
  • Pages 290
  • Volumes 1
  • Language ENG
  • Publisher Springer
  • Date 1972-01-01
  • Bookseller's Inventory # ria9783540059974_pod
  • ISBN 9783540059974 / 3540059970
  • Weight 0.94 lbs (0.43 kg)
  • Dimensions 9.21 x 6.14 x 0.64 in (23.39 x 15.60 x 1.63 cm)
  • Dewey Decimal Code 515.53

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From the publisher

This material represents a collection of integral tra- forms involving Bessel (or related) functions as kernel. The following types of inversion formulas have been singled out. k I. g(y) = f (x) (xy) 2J (xy) dx J V 0 k I' . f (x) g (y) (xy) 2J (xy) dy J V 0 II. g(y) f(x) (XY) K (xy)dx J v 0 c]ioo k 1 II'. f (x) = g (y) (xy) 2 [Iv (xy) ] I_v(xy)]dy J 27fT c-ioo or also c+ioo k 1 II". f(x) = g (y) (xy) 2Iv (xy) dx J rri oo c-i k III. g(y) f(x) (xy) 2y (xy) dx + J v 0 k III' . f(x) g(y) (xy) "1lv (xy) dy J 0 k IV. g(y) f (x) (xy) "Kv (xy) dx J 0 k g(y) (xy) 2Y (xy)dy IV' - f(x) J v 0 V Preface V. g(y) f(X)Kix(y)dx J 0 -2 -1 sinh (7TX) V'. f(x) 27T x g(y)y Kix(y)dy J 0 21- [r( ] - v)r( + + v)]-1 VI. g(y) . J f (x) (xy) s (xy) dx o, v l- -1 VI' . f(x) 2 [r ( ] - v) r ( + + v) ] - - J -5 (xy)]dy g(y) (XY) [S, v(xy), v 0 [xy) ]dX VII. g(y) f(x)\ J 0 0 VII' - f(x) g(y) \ [(xy) lz]dy f 0 0 with \ (z) o (For notations and definitions see the appendix of this book. ) The transform VII is also known as the divisor transform.