Articles with "recurrence relations" as a keyword



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Meromorphic solutions of recurrence relations and DRA method for multicomponent master integrals

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Published in 2017 at "Journal of High Energy Physics"

DOI: 10.1007/jhep04(2018)061

Abstract: A bstractWe formulate a method to find the meromorphic solutions of higher-order recurrence relations in the form of the sum over poles with coefficients defined recursively. Several explicit examples of the application of this technique… read more here.

Keywords: recurrence; recurrence relations; relations dra; dra method ... See more keywords
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Shortened recurrence relations for generalized Bernoulli numbers and polynomials

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Published in 2017 at "Journal of Number Theory"

DOI: 10.1016/j.jnt.2016.12.014

Abstract: Abstract It is the main purpose of this paper to study shortened recurrence relations for generalized Bernoulli numbers and polynomials attached to χ, χ being a primitive Dirichlet character, in which some of the preceding… read more here.

Keywords: bernoulli numbers; numbers polynomials; recurrence relations; relations generalized ... See more keywords
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Recurrence relations for Wronskian Laguerre polynomials

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Published in 2021 at "Integral Transforms and Special Functions"

DOI: 10.1080/10652469.2020.1730362

Abstract: Abstract The 3-term recurrence relation for Hermite polynomials was recently generalized to a recurrence relation for Wronskians of Hermite polynomials. In this note, a similar generalization for Laguerre polynomials is obtained. read more here.

Keywords: recurrence; laguerre polynomials; relations wronskian; recurrence relations ... See more keywords