difference operators
Factorizations for difference operators
... Bergen et al Advances in Difference Equations (2015) 2015 57 DOI 10 1186/s13662 015 0402 1 R E S E A R C H Open Access Factorizations for difference operators Jeffrey Bergen1, Mark Giesbrecht2, Pappur[.] ...
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Uniqueness of difference operators of meromorphic functions
... functions and their shifts or their difference operators (see, e.g., [8-13]). Some of them (see, e.g., [9,10]) dealt with the uniqueness problems on the case that shifts or differ- ence polynomials of two ...
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A note on entire functions sharing a finite set with their difference operators
... A note on entire functions sharing a finite set with their difference operators Qi et al Advances in Difference Equations (2019) 2019 114 https //doi org/10 1186/s13662 019 1992 9 R E S E A R C H Open[.] ...
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Meromorphic functions that share a polynomial with their difference operators
... Meromorphic functions that share a polynomial with their difference operators Deng et al Advances in Difference Equations (2018) 2018 194 https //doi org/10 1186/s13662 018 1645 4 R E S E A R C H Open[.] ...
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Uniqueness of Functions with Its Shifts or Difference Operators
... Uniqueness Theory of Meromorphic functions is an important part of Nevan- linna Theory. Recently number of papers have focussed on the Nevanlinna Theory with respect to difference operators. Then many ...
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Uniqueness theorem on meromorphic functions and their difference operators
... Uniqueness theorem on meromorphic functions and their difference operators Liu et al Advances in Difference Equations (2018) 2018 428 https //doi org/10 1186/s13662 018 1878 2 R E S E A R C H Open Acc[.] ...
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Meromorphic functions that share four or three small functions with their difference operators
... In this paper, we prove that non-constant meromorphic functions of finite order and their difference operators are identical, if they share four small functions “IM”, or share two small functions and ∞ CM. Our ...
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Entire functions sharing a small function with their two difference operators
... A meromorphic function a(z) is said to be a small function with respect to f (z) if and only if T (r, a) = S(r, f ), where S(r, f ) = o(T (r, f )), as r → ∞ outside of a possible exceptional set of finite logarithmic ...
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Uniqueness problems on entire functions that share a small function with their difference operators
... Our aim in this paper is to investigate uniqueness problems on entire functions that share a small periodic entire function with their two difference operators and provide a difference analogue of Theorem B. We now ...
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Some results on entire functions that share one value with their difference operators
... In this paper, we give some results on entire functions that share one value with their difference operators. In particular, we prove the following result, which can be regarded as a difference analogue of a result ...
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Properties of right fractional sum and right fractional difference operators and application
... From the above works, we can see in fact, although the discrete fractional calculus have been studied by many authors, to the best of our knowledge, that the properties of a right fractional difference operator have not ...
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Relations between Limit Point and Dirichlet Properties of Second Order Difference Operators
... Hindawi Publishing Corporation Advances in Difference Equations Volume 2007, Article ID 94325, 15 pages doi 10 1155/2007/94325 Research Article Relations between Limit Point and Dirichlet Properties o[.] ...
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Second or fourth-order finite difference operators, which one is most effective?
... finite difference (FD) formulas for the spatial approximation of the time-dependent reaction-diffusion problems with a clear justification through examples, “why fourth-order FD formula is preferred to its ...
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Survey of the qualitative properties of fractional difference operators: monotonicity, convexity, and asymptotic behavior of solutions
... Although perhaps taken for granted, one very important consequence of this local na- ture of the preceding operators is that the operators possess a strong connection to the monotone behavior of f . In ...
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Uniqueness of entire functions sharing two values with their difference operators
... The uniqueness of meromorphic functions sharing values with their shifts or difference operators has become a subject of great interest recently. In 2009, Heittokangas et al. [5] started to consider the value ...
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Monotonicity results for fractional difference operators with discrete exponential kernels
... The fractional calculus was successfully used during the last few years in many branches of engineering and science [–]. The core ideas of this type of nonlocal calculus were applied successfully to the so-called ...
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Solvability conditions for some difference operators
... Infinite-dimensional difference operators are studied. Under the assumption that the co- efficients of the operator have limits at infinity, limiting operators and associated polyno- mials are introduced. ...
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Uniqueness and value distribution for difference operators of meromorphic function
... The difference Nevanlinna theory and its applications to the uniqueness theory have become a subject of great interest [2-4], recently. With these fundamental results, Heit- tokangas et al. considered a ...
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Rational Recursion Operators for Integrable Differential–Difference Equations
... of difference operators, demonstrate their connections with Nijenhuis operators and give a criteria for the existence of weakly nonlocal inverse recursion operators for ...
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Inertial proximal algorithm for difference of two maximal monotone operators
... the difference of two convex func- tions is the special case of finding the zeros of difference of two maximal monotone ...for difference of two maximal monotone operators plays a central role ...
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