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An identity from the Al-Salam-Carlitz polynomials

Journal Name:

  • Mathematica Æterna

Publication Year:

  • 2012

Key Words:

Author NameUniversity of Author
Abstract (2. Language): 
In this paper, we derive an identity from the q-integral representa- tions of the Al-Salam-Carlitz polynomials and the q-integral represen- tations of the Rogers-Szeg¨o polynomials[4].
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FULL TEXT (PDF): 
PDF icon arastrmx_135290_2_pp_185-187.pdf
  • 3
185-187
  • English

REFERENCES

References: 

[1] G.E. Andrews, q-Series: Their Development and Applications in Analysis,
Number Theory, Combinatorics, Physics and Computer Algebra, CBMS
Regional Conference Lecture Series, VBol.66, Amer.Math, Providences,
RI, 1986.
[2] F.H. Jackson, On q-definite integrals, Quart. J.Pure and Appl. Math.,
50,101-112.
[3] H.M. Srivastava and V. K. Jain, Some Multilinear Generating Functions
for q-Hermite Polynomials, J. Math.Anal.Appl.,144(1989),147-157.
[4] M. Wang, q-integral representations of the Al-Salam-Carlitz polynomials,
Applied Mathematics Letters, 22 (2009) pp. 943-945.

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