Utility of integral representations for basic hypergeometric functions and orthogonal polynomials

Author:

Cohl Howard S.ORCID,Costas-Santos Roberto S.ORCID

Funder

Agencia Estatal de Investigación

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory

Reference21 articles.

1. Andrews, G.E., Askey, R., Roy, R.: Special Functions. Encyclopedia of Mathematics and Its Applications, vol. 71. Cambridge University Press, Cambridge (1999)

2. Askey, R., Roy, R.: More $$q$$-beta integrals. Rocky Mount. J. Math. 16(2), 365–372 (1986)

3. Atakishiyeva, M., Atakishiyev, N.: A non-standard generating function for continuous dual $$q$$-Hahn polynomials. Revista de Matemática: Teoría y Aplicaciones 18(1), 111–120 (2011)

4. Bailey, W.N.: Generalized Hypergeometric Series. Cambridge Tracts in Mathematics and Mathematical Physics, vol. 32. Stechert-Hafner Inc., New York (1964)

5. Cohl, H.S., Costas-Santos, R.S., Ge, L.: Terminating basic hypergeometric representations and transformations for the Askey–Wilson polynomials. Symmetry 12(8), 14 (2020)

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