Bernstein–zengő polynomials
(0.002 seconds)
1—10 of 255 matching pages
1: 31.5 Solutions Analytic at Three Singularities: Heun Polynomials
§31.5 Solutions Analytic at Three Singularities: Heun Polynomials
… ►
31.5.2
►is a polynomial of degree , and hence a solution of (31.2.1) that is analytic at all three finite singularities .
These solutions are the Heun polynomials.
…
2: 35.4 Partitions and Zonal Polynomials
§35.4 Partitions and Zonal Polynomials
… ►Normalization
… ►Orthogonal Invariance
… ►Summation
… ►Mean-Value
…3: 24.1 Special Notation
…
►
Bernoulli Numbers and Polynomials
►The origin of the notation , , is not clear. … ►Euler Numbers and Polynomials
… ►The notations , , as defined in §24.2(ii), were used in Lucas (1891) and Nörlund (1924). …4: 18.3 Definitions
§18.3 Definitions
… ►For expressions of ultraspherical, Chebyshev, and Legendre polynomials in terms of Jacobi polynomials, see §18.7(i). …For explicit power series coefficients up to for these polynomials and for coefficients up to for Jacobi and ultraspherical polynomials see Abramowitz and Stegun (1964, pp. 793–801). … ►Bessel polynomials
►Bessel polynomials are often included among the classical OP’s. …5: 18.31 Bernstein–Szegő Polynomials
§18.31 Bernstein–Szegő Polynomials
►Let be a polynomial of degree and positive when . The Bernstein–Szegő polynomials , , are orthogonal on with respect to three types of weight function: , , . …6: 27.18 Methods of Computation: Primes
…
►An alternative procedure is the binary quadratic sieve of Atkin and Bernstein (Crandall and Pomerance (2005, p. 170)).
…
►The AKS (Agrawal–Kayal–Saxena) algorithm is the first deterministic, polynomial-time, primality test.
…
7: 18.14 Inequalities
…
►Equations (18.14.3) and (18.14.3_5) are Bernstein-type inequalities.
…
…
►
Legendre
… ►Jacobi
… ►Laguerre
…8: Bibliography K
…
►
Unimodal sequences show that Lambert is Bernstein.
C. R. Math. Acad. Sci. Soc. R. Can. 33 (2), pp. 50–56.
►
Bernstein, Pick, Poisson and related integral expressions for Lambert
.
Integral Transforms Spec. Funct. 23 (11), pp. 817–829.
…
►
Nonsymmetric Askey-Wilson polynomials as vector-valued polynomials.
Appl. Anal. 90 (3-4), pp. 731–746.
…
►
Askey-Wilson polynomial.
Scholarpedia 7 (7), pp. 7761.
…
►
Jacobi polynomials, Bernstein-type inequalities and dispersion estimates for the discrete Laguerre operator.
Adv. Math. 333, pp. 796–821.
…
9: Bibliography Z
…
►
Doron Zeilberger’s Maple Packages and Programs
Department of Mathematics, Rutgers University, New Jersey.
…
►
Weighted derangements and the linearization coefficients of orthogonal Sheffer polynomials.
Proc. London Math. Soc. (3) 65 (1), pp. 1–22.
…
►
“Hidden symmetry” of Askey-Wilson polynomials.
Theoret. and Math. Phys. 89 (2), pp. 1146–1157.
►
On some classes of polynomials orthogonal on arcs of the unit circle connected with symmetric orthogonal polynomials on an interval.
J. Approx. Theory 94 (1), pp. 73–106.
…