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Nilsson solutions for irregular A-hypergeometric systems
(European Mathematical Society, 2012)
We study the solutions of irregular A-hypergeometric systems that are constructed from Grobner degenerations with respect to generic positive weight ¨ vectors. These are formal logarithmic Puiseux series that belong to ...
BASIC HYPERGEOMETRIC FUNCTIONS and ORTHOGONAL LAURENT POLYNOMIALS
(Amer Mathematical Soc, 2014)
Weighted hypergeometric functions and fractional derivative
(Springer OpenModelación con Ecuaciones DiferencialesEstados Unidos, 2021)
On an energy-dependent quantum system with solutions in terms of a class of hypergeometric para-orthogonal polynomials on the unit circle
(2020-07-01)
We study an energy-dependent potential related to the Rosen-Morse potential. We give in closed-form the expression of a system of eigenfunctions of the Schrodinger operator in terms of a class of functions associated to a ...
An the new riemann liouville fractional operator extended
(JS Publication, 2017)
In this paper we will introduce a new and modi ed Riemann-Liouville fractional operator that resulted from modifying the
extended fractional derivative due to M. Ozarslan. We will study some familiar functions regarding ...
Orthogonal polynomials associated with complementary chain sequences
(2016-07-27)
Using the minimal parameter sequence of a given chain sequence, we introduce the concept of complementary chain sequences, which we view as perturbations of chain sequences. Using the relation between these complementary ...
Distribution of the product of independent extended beta variables
(HikariAnálisis MultivariadoBulgaria, 2022)
Spherical functions associated with the three dimensional sphere
(2014)
In this paper, we determine all irreducible spherical functions of any K-type associated to the pair (G;K) = (SO(4); SO(3)). This is accomplished by associating to a vector valued function H = H(u) of a real variable ...