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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Volterra-type convolution of classical polynomials
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by Ana F. Loureiro and Kuan Xu HTML | PDF
Math. Comp. 88 (2019), 2351-2381 Request permission


We present a general framework for calculating the Volterra-type convolution of polynomials from an arbitrary polynomial sequence $\{P_k(x)\}_{k \geqslant 0}$ with $\deg P_k(x) = k$. Based on this framework, series representations for the convolutions of classical orthogonal polynomials, including Jacobi and Laguerre families, are derived, along with some relevant results pertaining to these new formulas.
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Additional Information
  • Ana F. Loureiro
  • Affiliation: School of Mathematics, Statistics and Actuarial Sciences, University of Kent, Sibson Building, Canterbury, CT2 7FS, United Kingdom
  • MR Author ID: 793430
  • Email:
  • Kuan Xu
  • Affiliation: School of Mathematical Sciences, University of Science and Technology of China, 96 Jinzhai Road, Hefei, Anhui, 230026, People’s Republic of China
  • MR Author ID: 1010592
  • Email:
  • Received by editor(s): April 26, 2018
  • Received by editor(s) in revised form: October 29, 2018
  • Published electronically: April 2, 2019
  • Additional Notes: The first author is the corresponding author
    The second author was funded in part by Anhui Initiative in Quantum Information Technologies under grant AHY150200.
  • © Copyright 2019 American Mathematical Society
  • Journal: Math. Comp. 88 (2019), 2351-2381
  • MSC (2010): Primary 42A85, 44A35, 33C05, 33C20, 33C45; Secondary 42A10, 41A10, 41A58
  • DOI:
  • MathSciNet review: 3957896