A new linear inversion formula for a class of hypergeometric polynomials
نویسندگان
چکیده
منابع مشابه
A New Result for Hypergeometric Polynomials
In some recent investigations involving differential operators for generalized Laguerre polynomials, Herman Bavinck (1996) encountered and proved a certain summation formula for the classical Laguerre polynomials. The main object of this sequel to Bavinck’s work is to prove a generalization of this summation formula for a class of hypergeometric polynomials. The demonstration, which is presente...
متن کاملa new type-ii fuzzy logic based controller for non-linear dynamical systems with application to 3-psp parallel robot
abstract type-ii fuzzy logic has shown its superiority over traditional fuzzy logic when dealing with uncertainty. type-ii fuzzy logic controllers are however newer and more promising approaches that have been recently applied to various fields due to their significant contribution especially when the noise (as an important instance of uncertainty) emerges. during the design of type- i fuz...
15 صفحه اولOn the zeros of a class of generalized hypergeometric polynomials
We obtain the asymptotic behavior of the zeros of a class of generalized hypergeometric polynomials. For this purpose, we make use of a Mehler–Heine type formula for these polynomials. We illustrate these results with numerical experiments and some figures. 2010 MSC: 33C45, 42C05
متن کاملA new identity linking coefficients of a certain class of homogeneous polynomials and Gauss hypergeometric functions
In investigating the properties of a certain class of homogeneous polynomials, we discovered an identity satisfied by their coefficients which involves simple 2F1 Gauss hypergeometric functions. This result appears to be new and we supply a direct proof. The simplicity of the identity is suggestive of a deeper result.
متن کاملA New Integral Formula for Heckman-opdam Hypergeometric Functions
We provide Harish-Chandra type formulas for the multivariate Bessel functions and HeckmanOpdam hypergeometric functions as representation-valued integrals over dressing orbits. Our expression is the quasi-classical limit of the realization of Macdonald polynomials as traces of intertwiners of quantum groups given by Etingof-Kirillov Jr. in [EK94]. Integration over the Liouville tori of the Gelf...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Integral Transforms and Special Functions
سال: 2020
ISSN: 1065-2469,1476-8291
DOI: 10.1080/10652469.2020.1833002