EuDML | Browse

Items

All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Displaying 61 – 80 of 88

Connections between real polynomial solutions of hypergeometric-type differential equations with Rodrigues formula

Hans Weber (2007)

Open Mathematics

Starting from the Rodrigues representation of polynomial solutions of the general hypergeometric-type differential equation complementary polynomials are constructed using a natural method. Among the key results is a generating function in closed form leading to short and transparent derivations of recursion relations and addition theorem. The complementary polynomials satisfy a hypergeometric-type differential equation themselves, have a three-term recursion among others and obey Rodrigues formulas....

Connections between Romanovski and other polynomials

Hans Weber (2007)

Open Mathematics

A connection between Romanovski polynomials and those polynomials that solve the one-dimensional Schrödinger equation with the trigonometric Rosen-Morse and hyperbolic Scarf potential is established. The map is constructed by reworking the Rodrigues formula in an elementary and natural way. The generating function is summed in closed form from which recursion relations and addition theorems follow. Relations to some classical polynomials are also given.

Consecutive evaluation of Euler sums.

Boyadzhiev, Khristo N. (2002)

International Journal of Mathematics and Mathematical Sciences

Consistency of trigonometric and polynomial regression estimators

Waldemar Popiński (1998)

Applicationes Mathematicae

The problem of nonparametric regression function estimation is considered using the complete orthonormal system of trigonometric functions or Legendre polynomials $e_{k}$ , k=0,1,..., for the observation model $y_{i} = f (x_{i}) + η_{i}$ , i=1,...,n, where the $η_{i}$ are independent random variables with zero mean value and finite variance, and the observation points $x_{i} \in [a, b]$ , i=1,...,n, form a random sample from a distribution with density $ϱ \in L^{1} [a, b]$ . Sufficient and necessary conditions are obtained for consistency in the sense of the errors $∥ f - {\hat{f}}_{N} ∥, | f (x) -_{N} (x) |$ , $x \in [a, b]$ ,...

Currently displaying 61 – 80 of 88

Previous Page 4 Next

Displaying 61 – 80 of 88

Connections between real polynomial solutions of hypergeometric-type differential equations with Rodrigues formula

Connections between Romanovski and other polynomials

Consecutive evaluation of Euler sums.

Consistency of trigonometric and polynomial regression estimators

Constant term identities, orthogonal polynomials and affine Hecke algebras.

Construction of a recurrence relation of the lowest order for coefficients of the Gegenbauer series

Construction of the lowest-order recurrence relation for the Jacobi coefficients

Contiguous extensions of Dixon's theorem on the sum of a $_{3} F_{2}$ .

Continuité et différentiabilité des translations dans un espace Gaussien.

Continuous symmetrized Sobolev inner products of order $N$ . II.

Contributions to the theory of Hermitian series. III: Mean values.

Convergence of Padé approximants for a q-hypergeometric series (Wynn's Power Series III).

Convergence of Padé approximants for a q-hypergeometric series (Wynn's Power Series III). (Summary).

Convergence of Padé approximants for a q-hypergeometric series (Wynn's Power Series I). (Summary).

Convergence of Padé approximations for a q-hypergeometric series (Wynn's Power Series I).

Convexities of some functions involving the polygamma functions.

Convexity of the zero-balanced Gaussian hypergeometric functions with respect to Hölder means.

Convexity properties and inequalities for a generalized gamma function.

Convolution of Hankel transform and its application to an integral involving Bessel functions of first kind.

Convolutions with hypergeometric functions.

Currently displaying 61 – 80 of 88