Recurrence relation for a class of polynomials associated with the generalized Hermite polynomials.
Milovanović, Gradimir V. (1993)
Publications de l'Institut Mathématique. Nouvelle Série
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Milovanović, Gradimir V. (1993)
Publications de l'Institut Mathématique. Nouvelle Série
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Thomas Ernst (2014)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
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We study q-analogues of three Appell polynomials, the H-polynomials, the Apostol–Bernoulli and Apostol–Euler polynomials, whereby two new q-difference operators and the NOVA q-addition play key roles. The definitions of the new polynomials are by the generating function; like in our book, two forms, NWA and JHC are always given together with tables, symmetry relations and recurrence formulas. It is shown that the complementary argument theorems can be extended to the new polynomials...
Al-Salam, Waleed A. (1995)
International Journal of Mathematics and Mathematical Sciences
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S. K. Chatterjea (1964)
Rendiconti del Seminario Matematico della Università di Padova
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Thomas Ernst (2015)
Annales UMCS, Mathematica
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We study q-analogues of three Appell polynomials, the H-polynomials, the Apostol-Bernoulli and Apostol-Euler polynomials, whereby two new q-difference operators and the NOVA q-addition play key roles. The definitions of the new polynomials are by the generating function; like in our book, two forms, NWA and JHC are always given together with tables, symmetry relations and recurrence formulas. It is shown that the complementary argument theorems can be extended to the new polynomials...
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.
Arun Verma (1975)
Annales Polonici Mathematici
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Djordjević, Gospava B. (1997)
Matematichki Vesnik
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R.C.S. Chandel (1977)
Publications de l'Institut Mathématique [Elektronische Ressource]
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P. N. Shrivastava (1977)
Publications de l'Institut Mathématique
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