Results 151 to 160 of about 1,233 (186)
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Generalized q-Hermite Polynomials
Communications in Mathematical Physics, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Berg, Christian, Ruffing, Andreas
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Combinatorial Applications of Hermite Polynomials
SIAM Journal on Mathematical Analysis, 1982Let $C_1 ,C_2 , \cdots ,C_k $ be k finite sets of elements, where $n_i $ is the number of elements in $C_i (i = 1,2, \cdots ,k)$ and $\sum_{i = 1}^k {n_i } $ is even, $2S$ (say). In any arrangement of the elements into S disjoint pairs, we count the number of homogeneous pairs, i.e., those in which both numbers are from the same subset, $C_i $.
Azor, Ruth, Gillis, J., Victor, J. D.
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Some Remarks on Hermite Polynomials
Theory of Probability & Its Applications, 1992See the review Zbl 0731.33007.
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On hermite-bell inverse polynomials
Rendiconti del Circolo Matematico di Palermo, 1984Bell introduced a set of polynomials by \[ \exp g(z)(d^ n/dz^ n)\exp [-g(z)]=Y_ n(g:z)\quad where\quad g(z)=\sum^{\infty}_{n=1}a_ nz^ n. \] In the present paper a related set of polynomials is considered for \(g(z)=pz^{-k}\), where p is a constant and K is a positive integer.
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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