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picture1_Multiple Integrals Pdf 169772 | Pjm V11 N1 P14 S


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File: Multiple Integrals Pdf 169772 | Pjm V11 N1 P14 S
Pacific Journal of Mathematics ASYMPTOTICS. II. LAPLACE’S METHOD FOR MULTIPLE INTEGRALS WATSONBRYANFULKS AND J. O. SATHER Vol. 11, No. 1 November 1961 ASYMPTOTICS II: LAPLACE'S METHOD FOR MULTIPLE  ...

icon picture PDF Filetype PDF | Posted on 26 Jan 2023 | 2 years ago

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...Pacific journal of mathematics asymptotics ii laplace s method for multiple integrals watsonbryanfulks and j o sather vol no november w fulks is a well known important tool studying the rate growth an integral form hf e gdx zyxwvutsrqponmlkjihgfedcbazyxwvutsrqponmlkjihgfedcba as h oo where has single minimum in it extension to been studied by l c hsu series papers starting p g rooney see bibliography these authors establish what amount first term asymptotic expansion all but one results are under fairly heavy smoothness conditions this paper we examine measurable functions defined on set r with out making any assumptions using only existence i course expansions near point obtain special features our procedure lack assump tions fact that get complete without loss generality may assume essential infimum occurs at origin minimal value zero introduce polar coordinates x vx xl surface unit sphere hypothesis following interior each there such f if q ft says can be close n continuous fjc k wh...
								

							

						
	
												
				
					
					
					
			
					
				
				
		
	

	
		





	

	
				

						

						
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Posted on: 26 Jan 2023 | 2 years ago
										
										
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