AbstractTwo uniform asymptotic expansions are obtained for the Pollaczek polynomials Pn(cosθ;a,b). One is for θ∈(0,δ/n], 0<δ<a+b, in terms of elementary functions and in descending powers of n. The other is for θ∈[δ/n,π/2], in terms of a special function closely related to the modified parabolic cylinder functions, in descending powers of n. This interval contains a turning point and all possible zeros of Pn(cosθ) in θ∈(0,π/2]
AbstractThe asymptotic behaviour of the Charlier polynomials C(a)n(x) as n→∞ is examined. These poly...
For the coefficients An(‘) and Bn(‘), that occur in the uniform asymptotic expansions of Bessel func...
The asymptotic behaviour of the Charlier polynomials C (a) n (x) as nQ. is examined. These polynomia...
AbstractTwo uniform asymptotic expansions are obtained for the Pollaczek polynomials Pn(cosθ;a,b). O...
AbstractWe study the asymptotic behavior of the Krawtchouk polynomial K(N)n(x; p, q) as n→∞. With x≡...
AbstractIt is shown that a (suitably normalized) Pollaczek polynomial Pλn(x; a, b) is a regular tran...
AbstractUniform asymptotic properties of the classical Jacobi polynomials have been studied via vari...
Los polinomios generales de Pollaczek son una familia de polinomios ortogonales con algunas propieda...
Abstract. Let KNn (x; p, q) be the Krawtchouk polynomials and µ = N/n. An asymptotic expansion is de...
Abstract: The polynomials defined by a special two-diagonal non-symmetric operator are con...
AbstractRecently, some work has been devoted to the task of obtaining closed-form expressions for im...
Los polinomios generales de Pollaczek, son una familia de polinomios ortogonales con unas propiedade...
Abstract In this article, the author extends the validity of a uniform asymptotic ex-pansion of the ...
We consider the system of bi–orthogonal polynomials with respect to a complex valued measure support...
AbstractIt has been shown in Ferreira et al. [Asymptotic relations in the Askey scheme for hypergeom...
AbstractThe asymptotic behaviour of the Charlier polynomials C(a)n(x) as n→∞ is examined. These poly...
For the coefficients An(‘) and Bn(‘), that occur in the uniform asymptotic expansions of Bessel func...
The asymptotic behaviour of the Charlier polynomials C (a) n (x) as nQ. is examined. These polynomia...
AbstractTwo uniform asymptotic expansions are obtained for the Pollaczek polynomials Pn(cosθ;a,b). O...
AbstractWe study the asymptotic behavior of the Krawtchouk polynomial K(N)n(x; p, q) as n→∞. With x≡...
AbstractIt is shown that a (suitably normalized) Pollaczek polynomial Pλn(x; a, b) is a regular tran...
AbstractUniform asymptotic properties of the classical Jacobi polynomials have been studied via vari...
Los polinomios generales de Pollaczek son una familia de polinomios ortogonales con algunas propieda...
Abstract. Let KNn (x; p, q) be the Krawtchouk polynomials and µ = N/n. An asymptotic expansion is de...
Abstract: The polynomials defined by a special two-diagonal non-symmetric operator are con...
AbstractRecently, some work has been devoted to the task of obtaining closed-form expressions for im...
Los polinomios generales de Pollaczek, son una familia de polinomios ortogonales con unas propiedade...
Abstract In this article, the author extends the validity of a uniform asymptotic ex-pansion of the ...
We consider the system of bi–orthogonal polynomials with respect to a complex valued measure support...
AbstractIt has been shown in Ferreira et al. [Asymptotic relations in the Askey scheme for hypergeom...
AbstractThe asymptotic behaviour of the Charlier polynomials C(a)n(x) as n→∞ is examined. These poly...
For the coefficients An(‘) and Bn(‘), that occur in the uniform asymptotic expansions of Bessel func...
The asymptotic behaviour of the Charlier polynomials C (a) n (x) as nQ. is examined. These polynomia...
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