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A Short Proof of Krattenthaler Formulas 被引量:1

A Short Proof of Krattenthaler Formulas
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摘要 With an effort to investigate a unified approach to the Lagrange inverse Krattenthaler established operator method we finally found a general pair of inverse relations,called the Krattenthaler formulas.The present paper presents a very short proof of this formula via Lagrange interpolation. Further.our method of proof declares that the Krattenthaler result is unique in the light of Lagrange interpolation. With an effort to investigate a unified approach to the Lagrange inverse Krattenthaler established operator method we finally found a general pair of inverse relations,called the Krattenthaler formulas.The present paper presents a very short proof of this formula via Lagrange interpolation. Further.our method of proof declares that the Krattenthaler result is unique in the light of Lagrange interpolation.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2002年第2期289-292,共4页 数学学报(英文版)
关键词 OPERATOR Inverse relation Q-ANALOGUE Lagrange interpolation Operator Inverse relation q-analogue Lagrange interpolation
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  • 1李如生,化学学报,1996年,8卷,1期,17页
  • 2陈予恕,力学学报,1988年,20卷,6期,522页
  • 3Smith DM.The Motion of a rotor carried by a flexible shaft in flexible bearings[].Proceedings of the Royal Society London Series A.
  • 4Ariaratnam ST.The Vibration of unsymmetrical rotating shaft[].Journal of Applied Mechanics.1965
  • 5Yamamoto T,Ota H,Kono K.On the Unstable vibrations of a shaft with unsymmetrical stiffness carrying anunsymmetrical rotor[].Journal of Applied Mechanics.1968
  • 6Yamamoto T,Ishida Y,Aizawa K.On the Subharmonic oscillations of unsymmetrical shaft[].Bulletin of theJSME.1979
  • 7Yamamoto T,Ishida Y,Ikeda T.Summed-and-differential harmonic oscillations of an unsymmetrical shaft[].Bulletin of the JSME.1981
  • 8Yamamoto T,Ishida Y,Ikeda T,Suzuki H.Super-summed-and differential harmonic oscillations of an unsymmetrical rotor[].Bulletin of the JSME.1982
  • 9Ikeda T,Ishida Y,Yamamoto T,Suzuki H.Nonlinear Forced Oscillations of an Unsymmetrical Shaft and an Unsymmetrical Rotor with Quartic Nonlinearity[].Bulletin of the JSME SeriesⅢ.1988

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  • 1ANDEWS G E.Multiple series Roger-Ramanujan type identites[J].Pacific J Math,1984,114:267-283.
  • 2ANDEWS G E.q-series:their developement and application in analysis,number theory,combinatorics,physics and computer algebra[A].CBMS Regional Conference Series in Mathematics,Providence R I:AMS,1986.
  • 3BRESSOUD D M.A matrix inverse[J].Proc Amer Math Soc,1983,88:44-48.
  • 4CARITZ L.Some inverse relations[J].Duke Math J,1973,40:893-901.
  • 5CHU W C,HSU L C.Some new applications of Goul-Hsu inversions[J].J Combine Inform System Sci,1990,14:1-4.
  • 6GOULD H W,HSU L C.Some new inverse series relation[J].Duke Math J,1973,40:881-891.
  • 7GESSEL I,STATON D.Applications of q-Lagrange version to basic hypergeometric series[J].Trans Amer Math Soc,1983,277:173-201.
  • 8KRATTENTHALER C.Operator methods and Lagrange inversion:a unified approach to Lagrange formula[J].Trans Amer Math Soc,1988,305:431-465.
  • 9KRATTENTHALER C.A new matrix inverse[J].Proceeding of American Math Soc,1996,124(1):47-59.
  • 10MA X R.A new unified matrix inverse[J].Proceeding of Amer Math Soc,to appear.

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