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Chemical Bonding in Monosubstituted Aromatic Molecules from Full-Valence Modern Ab Initio Valence Bond Calculations. [PDF]

J Phys Chem A
Barbosa AGH, Monteiro JGS.
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Laguerre Polynomials' Scheme of Transient Analysis: Scale Factor and Number of Temporal Basis Functions

, 2009
Jaroslav Láčík
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Some polynomials related to the generalized Laguerre polynomials

, 1966
Chatterjea, S.K., Das, M.K.
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A note on generalized Laguerre polynomials

, 1968
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A Generalization of Laguerre Polynomials

SIAM Journal on Mathematical Analysis, 1993
The authors investigate orthogonal polynomials for the inner product \[ \langle p,q\rangle= \int_ 0^ \infty {x^ \alpha e^{-x}\over \Gamma(\alpha+1)} p(x)q(x) dx+Mp(0)q(0) + Np'(0) q'(0), \] thereby generalizing the Laguerre polynomials \((M=N=0)\) and Koornwinder's Laguerre-type polynomials \((N=0)\).
Koekoek, R., Meijer, H. G.
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The Addition Formula for Laguerre Polynomials

SIAM Journal on Mathematical Analysis, 1977
Bateman’s addition formula for Laguerre polynomials of order zero is generalized to the case of order $\alpha > 0$. The result is obtained as a limit case of the addition formula for disk polynomials.
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Integrals of Products of Laguerre Polynomials

SIAM Journal on Mathematical Analysis, 1975
If $L_n(x)$ is the nth Laguerre polynomial, let $A_{rst} (\alpha ) = \int _0^\infty e^{ - \alpha x} L_r (x)L_s (x)L_t (x)dx$. It has recently been shown that $A_{rst} (\alpha ) > 0$ for $\alpha \geqq 2,r,s,t = 0,1, \cdots $, while $( - 1)^{r + s + t} A_{rst} (\alpha ) \geqq 0$ for $0 0$ for $r \geqq t$. The complete conjecture has not yet been proved,
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Some generating functions of the Laguerre and modified Laguerre polynomials

Applied Mathematics and Computation, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pittaluga, Giovanna, Sacripante, Laura, Srivastava, H. M.   +2 more
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On series representation in laguerre polynomials

Complex Variables, Theory and Application: An International Journal, 1993
This paper concerns with the existence of singularities of the series \[ \sum^ \infty_{n=0} a_ n L^{(\alpha)}_ n(z)\quad (\alpha\neq - 1,-2,\ldots) \] on the boundary of the region of convergence under certain assumptions on the coefficients.
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