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Application of Faà di Bruno's formula in characterization of inverse relations |
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| Authors: | W-S Chou Leetsch C Hsu Peter J-S Shiue |
| Institution: | aInstitute of Mathematics, Academia Sinica, Nankang, Taipei 11529, Taiwan, Republic of China bInstitute of Mathematical Sciences, Dalian University of Technology, Dalian, PR China cDepartment of Mathematical Sciences, University of Nevada at Las Vegas, Las Vegas, Nevada 89154-4020, USA |
| Abstract: | It is shown that a pair of inverse relations can be constructed by the suitable application of Faà di Bruno's formula for finding higher order derivatives of composite functions. Various examples illustrating the applications of inverse relations are presented. |
| Keywords: | Faà di Bruno's formula Formal power series Inverse relations Pair of inverse identities |
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