On Classical Multiplier Sequences
Keywords:
analysis, sequences, multiplier sequences, real functions, polynomials, zeros
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, S., & Leon, A. (2018). On Classical Multiplier Sequences. The PUMP Journal of Undergraduate Research, 1, 14-29. https://doi.org/10.46787/pump.v1i0.148
Section
Articles
Copyright (c) 2018 Summer Al-Hamdani, Alexandra Leon
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