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Modern Physics Letters A, 1994
The oscillator quantum algebra is extended, through a general approach, in order to put in evidence new q-Hermite polynomials and to discuss the already known ones. Such an approach constraints possible brackets. New sets of corresponding q-bosonic operators are pointed out, reducing for specific values of the subtended parameters to the parabosonic ...
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The oscillator quantum algebra is extended, through a general approach, in order to put in evidence new q-Hermite polynomials and to discuss the already known ones. Such an approach constraints possible brackets. New sets of corresponding q-bosonic operators are pointed out, reducing for specific values of the subtended parameters to the parabosonic ...
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The Asymptotic Behaviour of the Hermite Polynomials
Canadian Journal of Mathematics, 1963In a recent paper, Olver (2) obtains a set of formulae that completely determine the asymptotic behaviour of the Hermite polynomials, Hn(z), as n —> ∞ and z is unrestricted. His proof depends on a technique that he has developed for discussing the asymptotics of solutions of second-order, linear, homogeneous differential equations satisfying certain
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A NOTE ON THE POLYNOMIALS OF HERMITE
The Quarterly Journal of Mathematics, 1941openaire +2 more sources
Hermite-based Appell polynomials: Properties and applications
Journal of Mathematical Analysis and Applications, 2009Subuhi Khan, Ghazala Yasmin
exaly
Implicit summation formulae for Hermite and related polynomials
Journal of Mathematical Analysis and Applications, 2008Subuhi Khan, Ghazala Yasmin
exaly
A curious q-analogue of Hermite polynomials
Journal of Combinatorial Theory - Series A, 2011Jiang Zeng, Johann Cigler
exaly