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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 ...
On a symmetry in strong distributions
(Elsevier B.V., 1999-05-31)
A strong Stieltjes distribution d psi(t) is called symmetric if it satisfies the propertyt(omega) d psi(beta(2)/t) = -(beta(2)/t)(omega) d psi(t), for t is an element of (a, b) subset of or equal to (0, infinity), 2 omega ...
BASIC HYPERGEOMETRIC FUNCTIONS and ORTHOGONAL LAURENT POLYNOMIALS
(Amer Mathematical Soc, 2012-06-01)
A three-complex-parameter class of orthogonal Laurent polynomials on the unit circle associated with basic hypergeometric or q-hypergeometric functions is considered. To be precise, we consider the orthogonality properties ...
SZEGO POLYNOMIALS FROM HYPERGEOMETRIC FUNCTIONS
(Amer Mathematical Soc, 2010-12-01)
Szego polynomials with respect to the weight function w(theta) = e(eta theta)[sin(theta/2)](2 lambda), where eta, lambda is an element of R and lambda > -1/2 are considered. Many of the basic relations associated with these ...
Generating Birth and Death Processes
(Taylor & Francis Inc, 2011-01-01)
Associated with an ordered sequence of an even number 2N of positive real numbers is a birth and death process (BDP) on {0, 1, 2,..., N} having these real numbers as its birth and death rates. We generate another birth and ...
Generating Birth and Death Processes
(Taylor & Francis Inc, 2014)
Generating Birth and Death Processes
(Taylor & Francis Inc, 2011-01-01)
Associated with an ordered sequence of an even number 2N of positive real numbers is a birth and death process (BDP) on {0, 1, 2,..., N} having these real numbers as its birth and death rates. We generate another birth and ...
On a question of Mendès France on normal numbers
(Polish Academy of Sciences. Institute of Mathematics, 2022)
Continuous solutions and approximating scheme for fractional Dirichlet problems on Lipschitz domains
(Cambridge University Press, 2019)
In this paper, we study the fractional Dirichlet problem with the homogeneous exterior data posed on a bounded domain with Lipschitz continuous boundary. Under an extra assumption on the domain, slightly weaker than the ...