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Your search keyword '"*NUMBER theory"' showing total 2 results
2 results on '"*NUMBER theory"'

1. Functions of bounded variation on the classical Wiener space and an extended Ocone–Karatzas formula

Author

Pratelli, M. and Trevisan, D.

Subjects
*FUNCTIONS of bounded variation, *MATHEMATICAL analysis, *INTEGRAL representations, *RANDOM variables, *ALGEBRAIC number theory, *MATHEMATICAL variables
Abstract

Abstract: We prove an extension of the Ocone–Karatzas integral representation, valid for all functions on the classical Wiener space. We also establish an elementary chain rule formula and combine the two results to compute explicit integral representations for some classes of composite random variables. [Copyright &y& Elsevier]

Published
2012
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2. Integral representations for the generalized Bedient polynomials and the generalized Cesàro polynomials

Author

Lin, Shy-Der, Liu, Shuoh-Jung, Lu, Han-Chun, and Srivastava, H.M.

Subjects
*MULTIPLE integrals, *INTEGRAL representations, *GENERALIZATION, *POLYNOMIALS, *GAMMA functions, *MATHEMATICAL analysis, *NUMERICAL analysis, *ALGEBRAIC number theory
Abstract

Abstract: The main object of this paper is to investigate several general families of hypergeometric polynomials and their associated multiple integral representations. By suitably specializing our main results, the corresponding integral representations are deduced for such familiar classes of hypergeometric polynomials as (for example) the generalized Bedient polynomials and the generalized Cesàro polynomials. Each of the integral representations, which are derived in this paper, may be viewed also as a linearization relationship for the product of two different members of the associated family of hypergeometric polynomials. [Copyright &y& Elsevier]

Published
2011
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