Results 121 to 130 of about 575,831 (281)
Some Properties of Generalized Apostol-Type Frobenius–Euler–Fibonacci Polynomials
MathematicsIn this paper, by using the Golden Calculus, we introduce the generalized Apostol-type Frobenius–Euler–Fibonacci polynomials and numbers; additionally, we obtain various fundamental identities and properties associated with these polynomials and numbers,
Maryam Salem Alatawi +3 more
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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
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Difference Dimension Quasi-polynomials [PDF]
arXiv, 2016 We consider Hilbert-type functions associated with difference (not necessarily inversive) field extensions and systems of algebraic difference equations in the case when the translations are assigned some integer weights. We will show that such functions are quasi-polynomials, which can be represented as alternative sums of Ehrhart quasi-polynomials ...
arxiv
Errata to: “An existence theorem for difference polynomials” [PDF]
, 1967 Richard M. Cohn
openalex +1 more source
Advanced Optical Materials, EarlyView.Ultrafast transient absorption spectroscopy reveals that α‐In2Se3, a non‐toxic and air‐stable 2D material, demonstrates slow hot carrier (HC) cooling (≈35 ps), comparable to perovskites. This prolonged cooling can enable efficient energy extraction. Comprehensive analysis captures key HC dynamics, such as quasi‐Fermi shifts, many‐body interactions, and
Sung Bok Seo +4 more
wiley +1 more source
Differential-Difference Properties of Hypergeometric Polynomials [PDF]
, 1975 Jet Wimp
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Advanced Optical Materials, EarlyView.Picosecond spin current pulses generated by ferrimagnetic GdCo are studied via THz emission spectroscopy. Due to the GdCo micromagnetic structure, the spin current vanishes at compensation when a magnetic field is applied but persists for zero field. At room temperature, the THz spin current is dominated by Co. At low temperatures, Gd can significantly
Guillermo Nava Antonio +10 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
Polynomial Divided Difference Operators Satisfying the Braid Relations [PDF]
arXivMany interesting families of polynomials are indexed by permutations or related objects, and are defined by applying divided difference operators, modified by polynomials, on some initial base case. The fact that these constructions produce well-defined polynomials is based on the applied modified divided difference operators satisfying the braid ...
arxiv
Specializations of generalized Laguerre polynomials [PDF]
arXiv, 1993 Three specializations of a set of orthogonal polynomials with ``8 different q's'' are given. The polynomials are identified as $q$-analogues of Laguerre polynomials, and the combinatorial interpretation of the moments give infinitely many new Mahonian statistics on permutations.
arxiv