Bilinear and Translative Expansions of CertainGenerating Functions for Addition Theorem

Rai, Sesappa A (2015) Bilinear and Translative Expansions of CertainGenerating Functions for Addition Theorem. In: Japan, Japan.

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Abstract

This paper introduces the calculus for expanding certain bivariate functions in abilinear form, especially, in a recursive fashion. Such an expansion isincreasingly used in developing efficient algorithms with compressive representation for various computational problems involving, for example,Green’s function or a correlation function, at large sets of unequally spacesamplings points. The calculus is a unification, abstractionandsimplification ofthe expansion techniques that have been used in many individual cases. Theobjective is to provide a systematic guidance in development of expansioncompression- based algorithms, and furthermore, to underlie a computer basedplatform for facilitating the development process.

Item Type: Conference or Workshop Item (Paper)
Uncontrolled Keywords: Addition theorem, translative expansion, bivariate functions.
Subjects: Engineering > MIT Manipal > Mathematics
Depositing User: MIT Library
Date Deposited: 20 Oct 2016 13:34
Last Modified: 20 Oct 2016 13:34
URI: http://eprints.manipal.edu/id/eprint/147299

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