small functions
Relation between differential polynomials and small functions
... We know that a differential equation bears a relation to all derivatives of its solutions. Hence, linear differential polynomials generated by its solutions must have special nature because of the control of differential ...
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Entire functions sharing small functions with their difference operators
... Faculty of Exact Sciences, University of Bechar-(Algeria) elfarissi.abdallah@yahoo.fr Abstract. We investigate uniqueness problems for an entire function that shares two small functions of finite order with ...
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Relation between small functions with differential polynomials generated by meromorphic solutions of higher order linear differential equations
... [9] Z. X. Chen, The fixed points and hyper-order of solutions of second order complex differential equations, Acta Math. Sci. Ser. A Chin. Ed. 20(3) (2000), 425–432 (in Chinese). [10] W. K. Hayman, Meromorphic ...
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Complex and p-adic branched functions and growth of entire functions
... morphic functions in the form f g , by comparing the kind of growth of f and g, either through their Nevanlinna characteristic functions or through their order of growth or type of ...branched small ...
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Complex and p-adic branched functions and growth of entire functions
... two small functions w ∈ A f (K) ...entire functions. Indeed, in order to obtain some results on branched small functions for p-adic meromorphic functions, since we don’t enjoy a ...
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p-adic meromorphic functions f'P'(f), g'P'(g) sharing a small function
... a small function, we first prove that f ′ P ′ (f ) = g ′ P ′ ...the functions we consider, we can conclude f = ...define small functions, we have to briefly recall the definitions of the clas- ...
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p-adic meromorphic functions f' P' (f ), g' P' (g) sharing a small function
... define small functions, we have to briefly recall the definitions of the clas- sical Nevanlinna theory in the field K and a few specific properties of ultrametric analytic or meromorphic ...
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Entire functions that share a small function with their difference operators
... ABDALLAH EL FARISSI, ZINEL ˆ AABIDINE LATREUCH, BENHARRAT BELA¨ IDI, ASIM ASIRI Abstract. In this article, we study the uniqueness of entire functions that share small functions of finite order with ...
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On The Problem Of Entire Functions That Share a Small Function With Their Difference Operators
... Faculty of Science, King Abdulaziz University, P.O.Box 80203, Jeddah 21589, Saudi Arabia amkasiri@kau.edu.sa Abstract. In this paper, we study uniqueness problems for an entire func- tion that shares small ...
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A SHORT NOTE ON A PAIR OF MEROMORPHIC FUNCTIONS IN A p-ADIC FIELD, SHARING A FEW SMALL ONES
... Z(r, f − w j ) ≤ Z(r, f − g) + o(T (r, f )) + o(T (r, g)). Now, if f and g belong to M(d(a, R − )), the proof is exactly the same. Proof of Theorems 2 and 3: Consider first the hypothese of Theorem 2. Suppose that f and ...
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A SHORT NOTE ON A PAIR OF MEROMORPHIC FUNCTIONS IN A p-ADIC FIELD, SHARING A FEW SMALL ONES
... FUNCTIONS IN A p-ADIC FIELD, SHARING A FEW SMALL ONES ALAIN ESCASSUT AND ...p-adic small functions is given. Let f, g, be two meromorphic functions on a complete ultrametric ...
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Aggregation functions: Means
... Med w (x 1 , . . . , x n ) = Med(w 1 · x 1 , . . . , w n · x n ), while for real (nonnegative) weights it is linked to the minimization problem of expression P n i=1 w 1 |x i − r|. In the nonadditive integral domain we ...
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Small first zeros of L-functions
... ˜ γ f Φ(˜ γ f ) where the sum is running over the imaginary parts of normalised zeros counted with multiplicity. F(Q) can be seen as a measurable space where measurable sets are all its subsets and which is equipped with ...
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Belief functions on lattices
... belief functions, which are at the core of the the- ory of evidence, possess remarkable properties, in particular their links with the M¨obius transform [15] and the co-M¨obius transform [9, 10], called ...
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Modular Graph Functions
... graph functions, and their relation with single-valued elliptic multiple polylogarithms, leading to Proposition ...graph functions and single-valued multiple ...graph functions in terms of ...
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Eager Functions as Processes
... on functions as processes [17, 18], that shows how the evaluation strategies of call-by-name λ-calculus and call-by- value λ-calculus [1, 21] can be faithfully mimicked in the π -calculus, is generally considered ...
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Broken harmonic functions
... 5.5 Remarks 5.5.1 Extension to other L functions The method in section 5 for Dirichlet L functions can be extended naturally to other L functions. For instance let us consider the Ramanujan τ ...
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On comonotonically modular functions
... Quasi-polynomial functions were axiomatized in [2] in terms of two well-known conditions in aggregation theory, namely, comonotonic maxitivity and comonotonic minitiv- ...quasi-polynomial functions are ...
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On systolic zeta functions
... GL(b) operates on B by the rule kxk h = kh −1 (x)k, h ∈ GL(b). This action transfers to zeta functions is such a way that Z B is equivariant. The set Q(b) = B(b)/GL(b) of isomorphism classes of Banach structures ...
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Submodular Partition Functions
... LIRMM-Universit´ e Montpellier II, 161 rue Ada, 34392 Montpellier Cedex, France thomasse@lirmm.fr Abstract Adapting the method introduced in Graph Minors X [6], we propose a new proof of the duality between the ...
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