Eine Bemerkung zur Theorie der hypergeometrischen Function
Erratum for the paper "On extensions of the Laurent's theorem in the functional calculus with applications to the generation of higer transcendental functions"
Eulerian numbers with fractional order parameters.
Evaluation of associated Legendre functions off the cut and parabolic cylinder functions.
Expansion Of Kampé De Fériet's Function
Expansion of Kampé de Fériet's function.
Expansion theorems for the H function of several complex variables.
Extensions of certain classical summation theorems for the series , and with applications in Ramanujan's summations.
Flensted-Jensen's functions attached to the Landau problem on the hyperbolic disc
We give an explicit expression of a two-parameter family of Flensted-Jensen’s functions on a concrete realization of the universal covering group of . We prove that these functions are, up to a phase factor, radial eigenfunctions of the Landau Hamiltonian on the hyperbolic disc with a magnetic field strength proportional to , and corresponding to the eigenvalue .
Four-term recurrence relations for hypergeometric functions of the second order. I.
Four-term recurrence relations for hypergeometric functions of the second order are deduced from generating functions involving elementary functions. Generalisations are indicated and an example is given of a five-term recurrence for the confluent hypergeometric function.
Generalized Cesàro operators on certain function spaces
Motivated by some recent results by Li and Stević, in this paper we prove that a two-parameter family of Cesàro averaging operators is bounded on the Dirichlet spaces . We also give a short and direct proof of boundedness of on the Hardy space for 1 < p < ∞.
Generalized Lauricella Functions with Different Multiplicities
Identity-type functions and polynomials.
Integral averages of multiple Poisson kernels.
Integral representation of a solution of Heun's general equation.
Integral representation of the -th derivative in de Branges-Rovnyak spaces and the norm convergence of its reproducing kernel
In this paper, we give an integral representation for the boundary values of derivatives of functions of the de Branges–Rovnyak spaces , where is in the unit ball of . In particular, we generalize a result of Ahern–Clark obtained for functions of the model spaces , where is an inner function. Using hypergeometric series, we obtain a nontrivial formula of combinatorics for sums of binomial coefficients. Then we apply this formula to show the norm convergence of reproducing kernel of evaluation...
Integrals involving products of -functions and Appell’s functions
Irrationality measures of the values of hypergeometric functions
Laplace transform pairs of N-dimensions.
Lie Theoretic Generating Functions