CRC is the "CRC Standard Mathematical Tables and Formulae", 29th edition, William H. Beyer, editor. A&S is the "Handbook of Mathematical Functions", Milton Abramowitz and Irene A. Stegun, editors.In the following, you will find the complete outline of the organized rules. The outline reflect...
The most basic summation formula in the theory of q -hypergeometric functions is the well-known q -binomial formula. Not so well-known is the fact that there is a bilateral extension of it due to Ramanujan, and that there are two integral analogues of it. We show that these summation ...
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It is puzzling, then, that the fundamental nature of the AA/DCFTA has not been sufficiently scrutinised. This is particularly surprising given the prior warnings about key elements of theacquis-centred formula. For example, there has been much scepticism about the transformative capacity of theacqui...
doi:10.1002/sapm194322149A. N. LowanNational Bureau of Standards, Mathematical Tables Project, New York CityHerbert SalzerNational Bureau of Standards, Mathematical Tables Project, New York CityJohn Wiley & Sons, LtdJournal of Mathematics and Physics...
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1Introduction AsignificantapplicationoftheMalliavincalculusistodescribethedensityofaWiener functionalusingtheintegrationbypartsformula.In1997,Driver[3]establishedthe followingintegrationbypartsformulafortheheatsemigroupP t onacompactRiemannian manifoldM: P t (∇ Z f)=E{f(X t )N t },f∈C 1 (M)...
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The resulting formula is less elegant, and requires knowledge of asymp- totic behaviour of the function. Nevertheless, under certain circumstances, the asymptotic behaviour is easily predictable; the indefinite integral of that function, by the method presented in this report, also agrees with the ...
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