A note on definite integrals involving the derivatives of hypergeometric polynomials
Jyoti Chaudhuri (1962)
Rendiconti del Seminario Matematico della Università di Padova
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Jyoti Chaudhuri (1962)
Rendiconti del Seminario Matematico della Università di Padova
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H. L. Manocha (1967)
Matematički Vesnik
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D. K. Basu (1975)
Matematički Vesnik
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M.A. Pathan, M.A. Khan (1997)
Publications de l'Institut Mathématique
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S. K. Chatterjea, B. K. Ghosh (1968)
Matematički Vesnik
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B. B. Saha (1974)
Matematički Vesnik
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Arun Verma (1975)
Annales Polonici Mathematici
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S. K. Chatterjea (1964)
Rendiconti del Seminario Matematico della Università di Padova
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David Dickinson (1958)
Bollettino dell'Unione Matematica Italiana
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Hans Weber (2007)
Open Mathematics
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A connection between Romanovski polynomials and those polynomials that solve the one-dimensional Schrödinger equation with the trigonometric Rosen-Morse and hyperbolic Scarf potential is established. The map is constructed by reworking the Rodrigues formula in an elementary and natural way. The generating function is summed in closed form from which recursion relations and addition theorems follow. Relations to some classical polynomials are also given.