An asymptotic expansion for the number of permutations with a certain number of inversions.
Clark, Lane (2000)
The Electronic Journal of Combinatorics [electronic only]
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Clark, Lane (2000)
The Electronic Journal of Combinatorics [electronic only]
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International Journal of Mathematics and Mathematical Sciences
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Sibirskij Matematicheskij Zhurnal
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Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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The Hille-Hardy formula is a bilinear generating function, involving products of Laguerre polynomials. We use the point of view, developed in previous publications, to propose an operational method which allows a fairly direct derivation of this kind of formulae.
Dattoli, G., Srivastava, H. M., Sacchetti, D. (2003)
International Journal of Mathematics and Mathematical Sciences
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Electronic Journal of Differential Equations (EJDE) [electronic only]
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International Journal of Mathematics and Mathematical Sciences
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Mathematica Slovaca
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