Hurwitz criterion for stable polynomials
(0.002 seconds)
11—20 of 277 matching pages
11: Bibliography B
…
►
The generating function of Jacobi polynomials.
J. London Math. Soc. 13, pp. 8–12.
…
►
A generalisation of the Legendre polynomial.
Proc. London Math. Soc. (2) 3 (3), pp. 111–123.
…
►
Polynomials defined by a difference system.
J. Math. Anal. Appl. 2 (2), pp. 223–263.
…
►
On the Hurwitz zeta-function.
Rocky Mountain J. Math. 2 (1), pp. 151–157.
…
►
Criterion for Existence of a Bound State In One Dimension.
American Journal of Physics 68 (2), pp. 160–161.
…
12: 8.15 Sums
13: 25.19 Tables
…
►
•
►
•
Fletcher et al. (1962, §22.1) lists many sources for earlier tables of for both real and complex . §22.133 gives sources for numerical values of coefficients in the Riemann–Siegel formula, §22.15 describes tables of values of , and §22.17 lists tables for some Dirichlet -functions for real characters. For tables of dilogarithms, polylogarithms, and Clausen’s integral see §§22.84–22.858.
14: 25.14 Lerch’s Transcendent
…
►The Hurwitz zeta function (§25.11) and the polylogarithm (§25.12(ii)) are special cases:
►
25.14.2
, ,
…
15: 25.21 Software
…
►
§25.21(iv) Hurwitz Zeta Function
…16: 24.16 Generalizations
§24.16 Generalizations
… ►Polynomials and Numbers of Integer Order
… ►Nörlund Polynomials
… ►§24.16(ii) Character Analogs
… ►In no particular order, other generalizations include: Bernoulli numbers and polynomials with arbitrary complex index (Butzer et al. (1992)); Euler numbers and polynomials with arbitrary complex index (Butzer et al. (1994)); q-analogs (Carlitz (1954a), Andrews and Foata (1980)); conjugate Bernoulli and Euler polynomials (Hauss (1997, 1998)); Bernoulli–Hurwitz numbers (Katz (1975)); poly-Bernoulli numbers (Kaneko (1997)); Universal Bernoulli numbers (Clarke (1989)); -adic integer order Bernoulli numbers (Adelberg (1996)); -adic -Bernoulli numbers (Kim and Kim (1999)); periodic Bernoulli numbers (Berndt (1975b)); cotangent numbers (Girstmair (1990b)); Bernoulli–Carlitz numbers (Goss (1978)); Bernoulli–Padé numbers (Dilcher (2002)); Bernoulli numbers belonging to periodic functions (Urbanowicz (1988)); cyclotomic Bernoulli numbers (Girstmair (1990a)); modified Bernoulli numbers (Zagier (1998)); higher-order Bernoulli and Euler polynomials with multiple parameters (Erdélyi et al. (1953a, §§1.13.1, 1.14.1)).17: Bibliography N
…
►
Error bounds for the asymptotic expansion of the Hurwitz zeta function.
Proc. A. 473 (2203), pp. 20170363, 16.
…
►
Orthogonal polynomials.
Mem. Amer. Math. Soc. 18 (213), pp. v+185 pp..
►
Géza Freud, orthogonal polynomials and Christoffel functions. A case study.
J. Approx. Theory 48 (1), pp. 3–167.
…
►
Askey-Wilson polynomials: an affine Hecke algebra approach.
In Laredo Lectures on Orthogonal Polynomials and Special
Functions,
Adv. Theory Spec. Funct. Orthogonal Polynomials, pp. 111–144.
…
►
Symmetries in the fourth Painlevé equation and Okamoto polynomials.
Nagoya Math. J. 153, pp. 53–86.
…
18: Bibliography P
…
►
The Stokes phenomenon associated with the Hurwitz zeta function
.
Proc. Roy. Soc. London Ser. A 461, pp. 297–304.
…
►
Zonal Polynomials of Order Through
.
In Selected Tables in Mathematical Statistics, H. L. Harter and D. B. Owen (Eds.),
Vol. 2, pp. 199–388.
…
►
Orthogonal polynomials and some -beta integrals of Ramanujan.
J. Math. Anal. Appl. 112 (2), pp. 517–540.
…
►
A new basis for the representation of the rotation group. Lamé and Heun polynomials.
J. Mathematical Phys. 14 (8), pp. 1130–1139.
…
►
Chebyshev polynomial expansions of the Riemann zeta function.
Math. Comp. 26 (120), pp. G1–G5.
…
19: Bibliography R
…
►
A non-negative representation of the linearization coefficients of the product of Jacobi polynomials.
Canad. J. Math. 33 (4), pp. 915–928.
►
The Associated Classical Orthogonal Polynomials.
In Special Functions 2000: Current Perspective and Future
Directions (Tempe, AZ),
NATO Sci. Ser. II Math. Phys. Chem., Vol. 30, pp. 255–279.
…
►
Relationships between the zeros, weights, and weight functions of orthogonal polynomials: Derivative rule approach to Stieltjes and spectral imaging.
Computing in Science and Engineering 23 (3), pp. 56–64.
…
►
Infinite Sum of the Incomplete Gamma Function Expressed in Terms of the Hurwitz Zeta Function.
Mathematics 9 (16).
…
►
Hypergeometric Functions on Domains of Positivity, Jack Polynomials, and Applications.
Contemporary Mathematics, Vol. 138, American Mathematical Society, Providence, RI.
…