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Divided differences and generalized Taylor series
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Chu Wenchang
Published/Copyright:
December 15, 2008
Abstract
By combining divided differences with symmetric function relations, we establish two expansion formulae which generalize the classical Taylor theorem and the Maclauren expansion formula. The two q-expansion formulae due to Carlitz (1973) and Liu (2002) are also contained as special cases.
Received: 2006-11-06
Revised: 2007-06-21
Published Online: 2008-12-15
Published in Print: 2008-November
© de Gruyter 2008
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Articles in the same Issue
- Inequalities for Euler's gamma function
- Integers without divisors from a fixed arithmetic progression
- Sharp results on the integrability of the derivative of an interpolating Blaschke product
- The Gauss map of pseudo-algebraic minimal surfaces
- Gödel incompleteness in AF C*-algebras
- Quasi-regular Dirichlet forms on Riemannian path and loop spaces
- Divided differences and generalized Taylor series
- A regularity result for a class of degenerate Yang-Mills connections in critical dimensions
