Generating relations for Tratnik’s multivariable biorthogonal continuous Hahn polynomials

1992 ◽  
Vol 33 (2) ◽  
pp. 524-527 ◽  
Author(s):  
Harold Exton
Keyword(s):  
Hahn Polynomials ◽  
Generating Relations ◽  
Continuous Hahn Polynomials

Continuous Hahn polynomials and the Heisenberg algebra

1987 ◽  
Vol 28 (3) ◽  
pp. 509-513 ◽  
Author(s):  
Carl M. Bender ◽  
Lawrence R. Mead ◽  
Stephen S. Pinsky
Keyword(s):  
Heisenberg Algebra ◽  
Hahn Polynomials ◽  
Continuous Hahn Polynomials

Continuous Hahn polynomials

1993 ◽  
Vol 34 (3) ◽  
pp. 1197-1205 ◽  
Author(s):  
M. Micu
Keyword(s):  
Hahn Polynomials ◽  
Continuous Hahn Polynomials

Associated Continuous Hahn Polynomials

1991 ◽  
Vol 43 (6) ◽  
pp. 1263-1280 ◽  
Author(s):  
Dharma P. Gupta ◽  
Mourad E. H. Ismail ◽  
David R. Masson
Keyword(s):  
Recurrence Relation ◽  
Continued Fraction ◽  
Exceptional Case ◽  
Continuous Measure ◽  
Explicit Solutions ◽  
Absolutely Continuous ◽  
Hahn Polynomials ◽  
Absolutely Continuous Measure ◽  
Contiguous Relations ◽  
Continuous Hahn Polynomials

AbstractExplicit solutions to the recurrence relation for associated continuous Hahn polynomials are derived using 3F2 contiguous relations. These solutions are used to obtain a new continued fraction and the associated absolutely continuous measure. An exceptional case is shown to yield entry 33 in Chapter 12 of Ramanujan's second notebook.

scholarly journals Moments of generalized Cauchy random matrices and continuous-Hahn polynomials

Nonlinearity ◽  
2021 ◽  
Vol 34 (7) ◽  
pp. 4923-4943
Author(s):  
Theodoros Assiotis ◽  
Benjamin Bedert ◽  
Mustafa Alper Gunes ◽  
Arun Soor
Keyword(s):  
Random Matrices ◽  
Hahn Polynomials ◽  
Continuous Hahn Polynomials
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