منابع مشابه
On Incomplete Symmetric Orthogonal Polynomials of Laguerre Type
By using the extended Sturm-Liouville theorem for symmetric functions, we introduce the following differential equation ( ) 0 ) ( ) 2 ) 1 ( 1 ( ) ( 1 2 ) ( 2 2 2 = Φ − − + + + Φ′ − + − − Φ ′ ′ x x x m a x m x x x n n m n n m n γ β α , in which ) 1 2 2 2 ( 2 + − + − = m a s s β ; ) 1 )( 1 2 ( 2 ) 1 2 2 2 ( 2 + − + + − + − + = m a r r m a s s γ and ( ) ) ) 1 ( 1 )( 2 / ) 1 ( ( 2 2 n n m s r s mn ...
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In this paper, by using the extended Sturm-Liouville theorem for symmetric functions, we introduce the following differential equation ( ) 0 ) ( Φ ) 2 ) 1 ( 1 ( ) ( Φ 1 ) 1 ( 2 ) ( Φ ) 1 ( 2 2 2 2 = − − + + + ′ − + − + + − ′ ′ − x x x m a x mb a x x x x n n m n n m n m γ β α , in which ) 1 2 2 2 ( 2 + − + − = m a s s β ; ) 1 )( 1 2 ( 2 ) 1 2 2 2 ( 2 + − + + − + − + = m a r r m a s s γ and ( )( ...
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The main object of this paper is to present a systematic investigation of a new class of polynomials – incomplete generalized Tribonacci polynomials and a class of numbers associated with the familiar Tribonacci polynomials. The various results obtained here for these classes of polynomials and numbers include explicit representations, generating functions, recurrence relations and summation fo...
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We give explicit formulas for the Kazhdan-Lusztig P and Rpolynomials for permutations coming from the variety F1,n−1 of incomplete flags consisting of a line and a hyperplane.
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Let $ a_0 (omega), a_1 (omega), a_2 (omega), dots, a_n (omega)$ be a sequence of independent random variables defined on a fixed probability space $(Omega, Pr, A)$. There are many known results for the expected number of real zeros of a polynomial $ a_0 (omega) psi_0(x)+ a_1 (omega)psi_1 (x)+, a_2 (omega)psi_2 (x)+...
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 1984
ISSN: 0021-9045
DOI: 10.1016/0021-9045(84)90014-5