Liouville theorem for Dunkl polyharmonic functions.
Littlewood-Paley -function in the Dunkl analysis on .
Local estimates for Jacobi polynomials.
Localization of Spherical Harmonic Expansions.
Localized polynomial bases on the sphere.
Logarithmic and antilogarithmic mappings [Book]
Logarithmic derivative of the Euler Γ function in Clifford analysis.
The logarithmic derivative of the Γ-function, namely the ψ-function, has numerous applications. We define analogous functions in a four dimensional space. We cut lattices and obtain Clifford-valued functions. These functions are holomorphic cliffordian and have similar properties as the ψ-function. These new functions show links between well-known constants: the Eurler gamma constant and some generalisations, ζR(2), ζR(3). We get also the Riemann zeta function and the Epstein zeta functions.
Logarithmus faktorielly
Logarithmy hyperbolické
Low-rank tensor representation of Slater-type and Hydrogen-like orbitals
The paper focuses on a low-rank tensor structured representation of Slater-type and Hydrogen-like orbital basis functions that can be used in electronic structure calculations. Standard packages use the Gaussian-type basis functions which allow us to analytically evaluate the necessary integrals. Slater-type and Hydrogen-like orbital functions are physically more appropriate, but they are not analytically integrable. A numerical integration is too expensive when using the standard discretization...
Macdonald polynomials and multivariable basic hypergeometric series.
Mathematical Problems on the First and Second Divisions of the Schedule of Subjects [Book]
Mathematical structures behind supersymmetric dualities
The purpose of these notes is to give a short survey of an interesting connection between partition functions of supersymmetric gauge theories and hypergeometric functions and to present the recent progress in this direction.
Matrix Integrals, Toda Symmetries, Virasoro Constraints and Orthogonal Polynomials
Matrix solutions of the functional equation of the gamma function.
Matrix valued orthogonal polynomials of Jacobi type: the role of group representation theory
The main purpose of this paper is to present new families of Jacobi type matrix valued orthogonal polynomials obtained from the underlying group and its representations. These polynomials are eigenfunctions of some symmetric second order hypergeometric differential operator with matrix coefficients. The final result holds for arbitrary values of the parameters , but it is derived only for those values that come from the group theoretical setup.
Matrix-Variate Statistical Distributions and Fractional Calculus
MSC 2010: 15A15, 15A52, 33C60, 33E12, 44A20, 62E15 Dedicated to Professor R. Gorenflo on the occasion of his 80th birthdayA connection between fractional calculus and statistical distribution theory has been established by the authors recently. Some extensions of the results to matrix-variate functions were also considered. In the present article, more results on matrix-variate statistical densities and their connections to fractional calculus will be established. When considering solutions of fractional...
Mean Value Theorems in q-calculus
Meixner-type results for Riordan arrays and associated integer sequences.
Mellin transforms of Whittaker functions on GL(4, R) and GL(4, C).