| Tables of Bessel Transforms Softcover Repri Edition Contributor(s): Oberhettinger, F. (Author) |
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ISBN: 3540059970 ISBN-13: 9783540059974 Publisher: Springer OUR PRICE: $52.24 Product Type: Paperback Published: January 1972 |
| Additional Information |
| BISAC Categories: - Mathematics | Mathematical Analysis |
| Dewey: 515.53 |
| Physical Information: 0.64" H x 6.14" W x 9.21" (0.94 lbs) 290 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |