The inverse relations to some generating functions of permutations
نویسندگان
چکیده
منابع مشابه
extensions of some polynomial inequalities to the polar derivative
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15 صفحه اولSimple permutations and algebraic generating functions
A simple permutation is one that does not map a nontrivial interval onto an interval. It was recently proved by Albert and Atkinson that a permutation class with only finitely simple permutations has an algebraic generating function. We extend this result to enumerate permutations in such a class satisfying additional properties, e.g., the even permutations, the involutions, the permutations av...
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In the present paper, the author applies some of his earlier results which extend the well-known Hille-Hardy formula for the Laguerre polynomials to certain classes of generalized hypergeometric polynomials in order to derive various generalizations of a bilinear generating function for the Jacobi polynomials proved recently by Carlitz. The corresponding results for the polynomials of Legendre,...
متن کاملGenerating Functions for the Number of Permutations with Limited Displacement
Let V (d, n) be the number of permutations p of {1, 2, . . . , n} that satisfy |pi−i| 6 d for all i. Generating functions for V (d, n), for fixed d, are given.
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ژورنال
عنوان ژورنال: Časopis pro pěstování matematiky
سال: 1967
ISSN: 0528-2195
DOI: 10.21136/cpm.1967.117610