Padé and Hermite-Padé approximation and orthogonality.
Partial Quasi-Bilateral Generating Function Involving some Special Functions
A group-theoretic method of obtaining more general class of generating functions from a given class of partial quasi-bilateral generating functions involving Hermite, Laguerre and Gegenbaur polynomials are discussed.
Partitions, q-Series and the Lusztig-Macdonald-Wall Conjectures.
Periodic integrals and tautological systems
We study period integrals of CY hypersurfaces in a partial flag variety. We construct a regular holonomic system of differential equations which govern the period integrals. By means of representation theory, a set of generators of the system can be described explicitly. The results are also generalized to CY complete intersections. The construction of these new systems of differential equations has lead us to the notion of a tautological system.
Permutable functions.
Permutable polynomials for several variables.
Pfaff's method. III: Comparison with the WZ method.
Plane partitions IV: A conjecture of Mills-Robbins-Rumsey.
Pochhammer symbol with negative indices. A new rule for the method of brackets
The method of brackets is a method of integration based upon a small number of heuristic rules. Some of these have been made rigorous. An example of an integral involving the Bessel function is used to motivate a new evaluation rule.
Polinomios ortogonales asociados con problemas espectrales
Polynomial approximation to integral transforms
Polynomial Expansions for Solutions of Higher-Order Bessel Heat Equation in Quantum Calculus
Mathematics Subject Class.: 33C10,33D60,26D15,33D05,33D15,33D90In this paper we give the q-analogue of the higher-order Bessel operators studied by I. Dimovski [3],[4], I. Dimovski and V. Kiryakova [5],[6], M. I. Klyuchantsev [17], V. Kiryakova [15], [16], A. Fitouhi, N. H. Mahmoud and S. A. Ould Ahmed Mahmoud [8], and recently by many other authors. Our objective is twofold. First, using the q-Jackson integral and the q-derivative, we aim at establishing some properties of this function with proofs...
Polynomial functions on the classical projective spaces
The polynomial functions on a projective space over a field = ℝ, ℂ or ℍ come from the corresponding sphere via the Hopf fibration. The main theorem states that every polynomial function ϕ(x) of degree d is a linear combination of “elementary” functions .
Polynomials associated with dihedral groups.
Positivity of Cotes Numbers at More Jacobi Abscissas.
Positivity of the Cotes Numbers for some Jacobi Abscissas.
Poznámka k Favardově větě
Probabilistic derivation of a bilinear summation formula for the Meixner- Pollaczek polynomials.
Product Bessel distributions of the first and second kinds.
Products of several Jacobi or Laguerre polynomials