On inequalities for hypergeometric analogues of the arithmetic-geometric mean.
On integral operator defined by convolution involving hybergeometric functions.
On integral transforms.
On inversion of -transform in -space.
On Kaluza's sign criterion for reciprocal power series
T. Kaluza has given a criterion for the signs of the power series of a function that is the reciprocal of another power series. In this note the sharpness of this condition is explored and various examples in terms of the Gaussian hypergeometric series are given. A criterion for the monotonicity of the quotient of two power series due to M. Biernacki and J. Krzyż is applied.
On Legendre numbers.
On linear combinations of two orthogonal polynomial sequences on the unit circle.
On Maslanka's representation for the Riemann zeta function.
On modified asymptotic series involving confluent hypergeometric functions.
On multiplication formulae for Fox's H-function.
On multiscale denoising of spherical functions: basic theory and numerical aspects.
On nodal sets and nodal domains on and
We discuss possible topological configurations of nodal sets, in particular the number of their components, for spherical harmonics on . We also construct a solution of the equation in that has only two nodal domains. This equation arises in the study of high energy eigenfunctions.
On numerical evaluation of integrals involving Bessel functions
On orthogonal polynomials related to Fibonacci numbers
On - adic differential equations IV generalized hypergeometric functions as - adic analytic functions in one variable
On p-adic monodromy.
On parameter differentiation for integral representations of associated Legendre functions.
On polynomial eigenfunctions of a hypergeometric-type operator.
On Polynomials Associated With Humbert's Polynomials
On power series, Bell polynomials, Hardy-Ramanujan-Rademacher problem and its statistical applications