منابع مشابه
Tutte polynomials of wheels via generating functions
We find an explicit expression of the Tutte polynomial of an $n$-fan. We also find a formula of the Tutte polynomial of an $n$-wheel in terms of the Tutte polynomial of $n$-fans. Finally, we give an alternative expression of the Tutte polynomial of an $n$-wheel and then prove the explicit formula for the Tutte polynomial of an $n$-wheel.
متن کاملProbabilistic Derivation of Some Generating Functions for the Laguerre Polynomials
-A well-known generating function of the classical Laguerre polynomials was recently rederived probabillstically by Lee. In this paper, some other (presumably new) generating functions for the Laguerre polynomials are derived by means of probabillstic considerations. A direct (analytical) proof of each of these generating functions is also presented for the sake of completeness. © 1999 Elsevier...
متن کاملtutte polynomials of wheels via generating functions
we find an explicit expression of the tutte polynomial of an $n$-fan. we also find a formula of the tutte polynomial of an $n$-wheel in terms of the tutte polynomial of $n$-fans. finally, we give an alternative expression of the tutte polynomial of an $n$-wheel and then prove the explicit formula for the tutte polynomial of an $n$-wheel.
متن کاملUltraspherical Type Generating Functions for Orthogonal Polynomials
We characterize the probability distributions of finite all order moments having generating functions for orthogonal polynomials of ultraspherical type. 1. Motivation: Meixner families There is a one to one correspondance between probability distributions on the real line and polynomials of a one variable satisfying a three-terms recurrence relation subject to some positive conditions ([9]). Th...
متن کاملUltraspherical Type Generating Functions for Orthogonal Polynomials
We characterize, up to a conjecture, probability distributions of finite all order moments with ultraspherical type generating functions for orthogonal polynomials. 1. Motivation: Meixner families There is a one to one correspondance between probability distributions on the real line and polynomials of a one variable satisfying a three-terms recurrence relation subject to some positivity condit...
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ژورنال
عنوان ژورنال: Czechoslovak Mathematical Journal
سال: 1974
ISSN: 0011-4642,1572-9141
DOI: 10.21136/cmj.1974.101247