On Classical Multiplier Sequences

  • Summer Al-Hamdani California State University, Fresno
  • Alexandra Leon California State University, Fresno

Abstract

We provide the detailed proofs of two recent claims of Csordas and Forgács asserting that two particular Bessel-type functions generate classical multiplier sequences whose generic terms are Cauchy-products of Laguerre polynomials and hypergeometric functions, respectively. The way these sequences are generated involves functions from the Laguerre-Pólya class. We address the question whether these functions are unique in any way as generators of a given classical multiplier sequence.

Published
2018-01-05
How to Cite
AL-HAMDANI, Summer; LEON, Alexandra. On Classical Multiplier Sequences. The PUMP Journal of Undergraduate Research, [S.l.], v. 1, p. 14-29, jan. 2018. ISSN 2576-3725. Available at: <https://math.csudh.edu/pumpjournal/index.php/pump/article/view/7>. Date accessed: 23 june 2018.