Construction of Eigenfunctions for the Elliptic Ruijsenaars Difference Operators
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DOI: 10.1007/s00220-021-04195-8
Abstract: We present a perturbative construction of two kinds of eigenfunctions of the commuting family of difference operators defining the elliptic Ruijsenaars system. The first kind corresponds to elliptic deformations of the Macdonald polynomials, and the… read more here.
Keywords: elliptic ruijsenaars; difference operators; eigenfunctions elliptic; construction eigenfunctions ... See more keywords
On the Stability of Functional Maps and Shape Difference Operators
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DOI: 10.1111/cgf.13238
Abstract: In this paper, we provide stability guarantees for two frameworks that are based on the notion of functional maps—the framework of shape difference operators and the one of analyzing and visualizing the deformations between shapes.… read more here.
Keywords: functional maps; shape difference; difference operators; stability functional ... See more keywords
Entire functions sharing a small function with their two difference operators
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DOI: 10.1186/s13662-017-1281-4
Abstract: In this article, we deduce a uniqueness result of entire functions that share a small entire function with their two difference operators, generalizing some previous theorems of (Farissi et al. in Complex Anal. Oper. Theory… read more here.
Keywords: difference; function two; two difference; function ... See more keywords
Uniqueness theorem on meromorphic functions and their difference operators
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DOI: 10.1186/s13662-018-1878-2
Abstract: In this paper, we study the uniqueness problems of meromorphic functions and their difference operators. Our main result is a difference analogue of a result of Jank–Mues–Volkmann, which is concerned with the uniqueness of an… read more here.
Keywords: difference; functions difference; meromorphic functions; uniqueness theorem ... See more keywords
On difference of operators with different basis functions
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DOI: 10.2298/fil1910023g
Abstract: In the recent years several researchers have studied problems concerning the difference of two linear positive operators, but all the available literature on this topic is for operators having same basis functions. In the present… read more here.
Keywords: operators different; basis functions; difference; different basis ... See more keywords
Modified Fractional Difference Operators Defined Using Mittag-Leffler Kernels
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DOI: 10.3390/sym14081519
Abstract: The discrete fractional operators of Riemann–Liouville and Liouville–Caputo are omnipresent due to the singularity of the kernels. Therefore, convexity analysis of discrete fractional differences of these types plays a vital role in maintaining the safe… read more here.
Keywords: difference operators; operators defined; mittag leffler; modified fractional ... See more keywords
A Method for Performing the Symmetric Anti-Difference Equations in Quantum Fractional Calculus
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DOI: 10.3390/sym14122604
Abstract: In this paper, we develop theorems on finite and infinite summation formulas by utilizing the q and (q,h) anti-difference operators, and also we extend these core theorems to q(α) and (q,h)α difference operators. Several integer… read more here.
Keywords: fractional order; difference equations; difference operators; anti difference ... See more keywords