摘要:

A study is given of certain linear singularly perturbed Volterra or Fredholm vector integral equations, including also certain integrodifferential equations. Several examples are discussed that illustrate the rich diversity of (in some cases surprising) behavior that is possible for such equations. A special class of equations is studied further, using a version of the additive multivariable technique, and the results are justified by appropriate error estimates.

ISSN:0022-2526    

DOI:10.1002/sapm19887911

年代:1988

数据来源: WILEY

摘要:

Using some basic results about polynomial interpolation, divided differences, and Newton polynomial sequences we develop a theory of generalized binomial coefficients that permits the unified study of the usual binomial coefficients, the Stirling numbers of the second kind, theq‐Gaussian coefficients, and other combinatorial functions. We obtain a large number of combinatorial identities as special cases of general formulas. For example, Leibniz's rule for divided differences becomes a Chu‐Vandermonde convolution formula for each particular family of generalized binomial coefficie

ISSN:0022-2526    

DOI:10.1002/sapm198879165

年代:1988

数据来源: WILEY