Uniform asymptotic expansions of the Tricomi-Carlitz polynomials

Authors:
K. F. Lee and R. Wong

Journal:
Proc. Amer. Math. Soc. **138** (2010), 2513-2519

MSC (2010):
Primary 41A60, 39A10; Secondary 33C45

Published electronically:
March 4, 2010

MathSciNet review:
2607881

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Abstract | References | Similar Articles | Additional Information

Abstract: The Tricomi-Carlitz polynomials satisfy the second-order linear difference equation

**91**(2002) and

**94**(2003)]. The result holds uniformly in regions containing the critical values , where .

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Additional Information

**K. F. Lee**

Affiliation:
Department of Mathematics, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon, Hong Kong

Email:
charleslkf8571@gmail.com

**R. Wong**

Affiliation:
Department of Mathematics, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon, Hong Kong

Email:
rscwong@cityu.edu.hk

DOI:
https://doi.org/10.1090/S0002-9939-10-10301-3

Keywords:
Tricomi-Carlitz polynomials,
uniform asymptotic expansion,
difference equation

Received by editor(s):
June 23, 2009

Received by editor(s) in revised form:
November 6, 2009

Published electronically:
March 4, 2010

Dedicated:
Dedicated to the Lord

Communicated by:
Walter Van Assche

Article copyright:
© Copyright 2010
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.