{"product_id":"tables-of-bessel-transforms-von-f-oberhettinger","title":"Tables of Bessel Transforms","description":"\u003cp\u003eThis 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.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783540059974\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9783540059974","offer_id":39435916017757,"sku":"9783540059974","price":53.49,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/f82fdc64-ba11-4d2b-a20f-10768a34cf6b.jpg?v=1772084541","url":"https:\/\/shop.autorenwelt.de\/products\/tables-of-bessel-transforms-von-f-oberhettinger","provider":"Autorenwelt Shop","version":"1.0","type":"link"}