Results 131 to 140 of about 8,973,715 (361)
A Non-Standard Generating Function for Continuous Dual $q$-Hahn polynomials
Revista de Matemática: Teoría y Aplicaciones, 2011 We study a non-standard form of generating function for the three-parameter continuous dual q-Hahn polynomials $p_{n} (x; a, b, | q)$, which has surfaced in a recent work of the present authors on the construction of lifting $q$-difference operators in ...
Mesuma Atakishiyeva, Natig Atakishiyev
doaj +1 more source
Errata to: “An existence theorem for difference polynomials” [PDF]
, 1967 Richard M. Cohn
openalex +1 more source
Advanced Materials, EarlyView.This review explores the transformative role of AI in biosensor technology and provides a holistic interdisciplinary perspective that covers a broader scope of AI‐enabled biosensor technologies across various sectors including healthcare, environmental monitoring, food safety, and agriculture. It also highlights the important role of novel materials in
Tuğba Akkaş +4 more
wiley +1 more source
A 𝑑-ORTHOGONAL POLYNOMIAL SET OF MEIXNER TYPE
Проблемы анализаIn this contribution, a new set of 𝑑-orthogonal polynomials of Meixner type is introduced. Some properties of these polynomials, including an explicit formula, hypergeometric representation, as well as higher-order recurrence relation, and difference ...
W. Benamira, A. Nasri
doaj +1 more source
On ( p , q ) $(p,q)$ -classical orthogonal polynomials and their characterization theorems
Advances in Difference Equations, 2017 In this paper, we introduce a general ( p , q ) $(p, q)$ -Sturm-Liouville difference equation whose solutions are ( p , q ) $(p, q)$ -analogues of classical orthogonal polynomials leading to Jacobi, Laguerre, and Hermite polynomials as ( p , q ) → ( 1 ...
M Masjed-Jamei +3 more
doaj +1 more source
, 2011 This paper is devoted to value distribution and uniqueness problems for difference polynomials of entire functions such as f(f − 1)f(z + c). We also consider sharing value problems for f(z) and its shifts f(z + c), and improve some recent results of ...
X. Qi
semanticscholar +1 more source
Advanced Materials, EarlyView.Observation and detection of neurotransmitter dynamics in aqueous system has been hurdle for analytical fields due to its weak and reversible nature. A terahertz‐nanodisc metasurface which implements comprehensive detection over conformational change and selective sensing is introduced. Utilizing the THz regime photonics and biomimetic environment with
Taeyeon Kim +6 more
wiley +1 more source
Value distribution of difference polynomials of meromorphic functions
Electronic Journal of Differential Equations, 2013 In this article, we study the value distribution of difference polynomials of meromorphic functions, and obtain some results which can be viewed as discrete analogues of the results given by Yi and Yang [11].
Yong Liu, Xiaoguang Qi, Hongxun Yi
doaj
Finding identities and q-difference equations for new classes of bivariate q-matrix polynomials
Applied Mathematics in Science and EngineeringThis article introduces 2-variable q-Hermite matrix polynomials and delves into their complex representation, unravelling specific outcomes. The exploration encompasses the derivation of insightful identities for the q-cosine and q-sine analogues of the ...
Subuhi Khan, Hassan Ali, Mohammed Fadel
doaj +1 more source
A Difference Property for Polynomials and Exponential Polynomials on Abelian Locally Compact Groups [PDF]
, 1965 F. W. Carroll
openalex +1 more source