Results 81 to 90 of about 2,335 (226)
Divergent Jacobi polynomial series [PDF]
Proceedings of the American Mathematical Society, 1983 Fix real numbers α ⩾ β ⩾ − 1 2 \alpha \geqslant \beta \geqslant - \tfrac {1}{2} , with α > − 1 2 \alpha > - \tfrac {1}{2} , and equip [
openaire +2 more sources
Integral representations for the product of certain polynomials of two variables
Ain Shams Engineering Journal, 2013 The main object of this paper is to investigate several integral representations for the product of two polynomials of two variables, e.g. Laguerre, Jacobi, Generalized Bessel, Generalized Rice, Krawtchouk, Meixner, Gottlieb and Poisson–Charlier ...
Mumtaz Ahmad Khan +2 more
doaj +1 more source
Advances in Mathematical Physics, 2014 The shifted Jacobi-Gauss collocation (SJGC) scheme is proposed and implemented to solve the fractional neutral functional-differential equations with proportional delays.
A. H. Bhrawy, M. A. Alghamdi
doaj +1 more source
On the completely indeterminate case for block Jacobi matrices
Concrete Operators, 2017 We consider the infinite Jacobi block matrices in the completely indeterminate case, i. e. such that the deficiency indices of the corresponding Jacobi operators are maximal.
Osipov Andrey
doaj +1 more source
Mathematics, 2015 The connection problem for orthogonal polynomials is, given a polynomial expressed in the basis of one set of orthogonal polynomials, computing the coefficients with respect to a different set of orthogonal polynomials.
Tom Bella, Jenna Reis
doaj +1 more source
Hankel determinants and Jacobi continued fractions for $q$-Euler numbers
Comptes Rendus. MathématiqueThe $q$-analogs of Bernoulli and Euler numbers were introduced by Carlitz in 1948. Similar to recent results on the Hankel determinants for the $q$-Bernoulli numbers established by Chapoton and Zeng, we perform a parallel analysis for the $q$-Euler ...
Chern, Shane, Jiu, Lin
doaj +1 more source
Generating functions of Jacobi and related polynomials [PDF]
, 1951 Fred Brafman
openalex +1 more source
A Bochner Theorem for Dunkl Polynomials
Symmetry, Integrability and Geometry: Methods and Applications, 2011 We establish an analogue of the Bochner theorem for first order operators of Dunkl type, that is we classify all such operators having polynomial solutions.
Luc Vinet, Alexei Zhedanov
doaj +1 more source
On the zeros of certain polynomials related to Jacobi and Laguerre polynomials [PDF]
, 1932 Wayne Lawton
openalex +1 more source
The Zeros of Orthogonal Polynomials for Jacobi-Exponential Weights
Abstract and Applied Analysis, 2012 This paper gives the estimates of the zeros of orthogonal polynomials for Jacobi-exponential weights.
Rong Liu, Ying Guang Shi
doaj +1 more source