Skip to Main Content

Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Mathematics of Computation is 1.98.

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
HTML articles powered by AMS MathViewer

by Ana F. Loureiro and Kuan Xu HTML | PDF
Math. Comp. 88 (2019), 2351-2381 Request permission

Abstract:

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.
References
Similar Articles
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: A.Loureiro@kent.ac.uk
  • 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: kuanxu@ustc.edu.cn
  • 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: https://doi.org/10.1090/mcom/3427
  • MathSciNet review: 3957896