Computing Gauss-Manin systems for complete intersection singularities .
Confluent asymptotic expansions for functions of two variables
Confluent Hypergeometric Functions on Tube Domains.
Conjugacy for Fourier-Bessel expansions
We define and investigate the conjugate operator for Fourier-Bessel expansions. Weighted norm and weak type (1,1) inequalities are proved for this operator by using a local version of the Calderón-Zygmund theory, with weights in most cases more general than weights. Also results on Poisson and conjugate Poisson integrals are furnished for the expansions considered. Finally, an alternative conjugate operator is discussed.
Connections between real polynomial solutions of hypergeometric-type differential equations with Rodrigues formula
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
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.
Consistency of trigonometric and polynomial regression estimators
The problem of nonparametric regression function estimation is considered using the complete orthonormal system of trigonometric functions or Legendre polynomials , k=0,1,..., for the observation model , i=1,...,n, where the are independent random variables with zero mean value and finite variance, and the observation points , i=1,...,n, form a random sample from a distribution with density . Sufficient and necessary conditions are obtained for consistency in the sense of the errors , ,...
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 .
Continuité et différentiabilité des translations dans un espace Gaussien.
Continuous symmetrized Sobolev inner products of order . 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).
Convexity of the zero-balanced Gaussian hypergeometric functions with respect to Hölder means.
Convolution of Hankel transform and its application to an integral involving Bessel functions of first kind.