Journal of the Franklin Institute, Volume 252Pergamon Press, 1951 Vols. 1-69 include more or less complete patent reports of the U. S. Patent Office for years 1825-1859. cf. Index to v. 1-120 of the Journal, p. [415] |
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Page 154
... multiple Laplace transform of f ( x1 , ··· , Xn ) . Conversely , if the multiple Laplace transform is known , its inverse is given by the multiple inversion integral : f ( x1 , · · · , Xn ) = 1 enPn .. 2πi JBr . 1 2Ti Br . 1 , " Pn ...
... multiple Laplace transform of f ( x1 , ··· , Xn ) . Conversely , if the multiple Laplace transform is known , its inverse is given by the multiple inversion integral : f ( x1 , · · · , Xn ) = 1 enPn .. 2πi JBr . 1 2Ti Br . 1 , " Pn ...
Page 158
... multiple transform of the partial derivative , has thus been deduced from single Laplace transformation theorems . Confirmatively , ( 25 ) can be obtained by direct integration of the double integral ( 22 ) . Comparison of ( 25 ) and ...
... multiple transform of the partial derivative , has thus been deduced from single Laplace transformation theorems . Confirmatively , ( 25 ) can be obtained by direct integration of the double integral ( 22 ) . Comparison of ( 25 ) and ...
Page 159
Franklin Institute (Philadelphia, Pa.) over the terms yields the multiple transform of atn ənf ( x , t ) . M [ anf ( x , t ) [ df ( x ) ] = s ° } ( p ... multiple transform of a mixed Aug. , 1951. ] 159 MULTIPLE LAPLACE TRANSFORMATIONS.
Franklin Institute (Philadelphia, Pa.) over the terms yields the multiple transform of atn ənf ( x , t ) . M [ anf ( x , t ) [ df ( x ) ] = s ° } ( p ... multiple transform of a mixed Aug. , 1951. ] 159 MULTIPLE LAPLACE TRANSFORMATIONS.
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