entire function of finite order
Orders of solutions of an-th order linear differential equation with entire coefficients.
... 0 of ( 1 ...proofs of our theorems ...transcendental entire function of finite o rder ...a finite s e t of distinct pairs ...
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Orders of solutions of an n-th order linear differential equation with entire coefficients
... infinite order. Next, we provide a lemma that is used in the proofs of our ...transcendental entire function of finite order ...a finite set of ...
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On The Problem Of Entire Functions That Share a Small Function With Their Difference Operators
... uniqueness of meromorphic functions sharing values with their shifts or difference ...analogue of result of Jank et ...nonconstant entire function of finite order, ...
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Entire functions that share a small function with their difference operators
... positive integers. If f , f (n) and f (m) share a CM, then can we get the result f (n) ≡ f ? The following example from [18] shows that the answer to the above question is, in general, negative. Let n and m be positive ...
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Order and hyper-order of entire solutions of linear differential equations with entire coefficients.
... EJDE – 2003 / 1 7 Benharrat Bela ¨ı di & Karima Hamani 3 Theorem 1 . 2 ( [ 3 , p . 4 18 ] ) Let A(z) and B(z) 6≡ 0 be entire functions , and le t α > 0, β > 0 be constants , with σ(B) < β. Suppose ...
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Growth and oscillation of solutions to linear differential equations with entire coefficients having the same order.
... f of ( 1 . 4 ) is a polynomial of degree deg (f ) ≤ s − ...points of general tran - scendental meromorphic functions for almost four decades ( see [ 25 ] ) ...points of solutions of ...
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Multiplicative Dedekind $\eta $-function and representations of finite groups
... In this paper we shall list the metacyclic groups with faithful represen- tations of this kind. Permissible groups are listed up to isomorphism. The desired groups can contain only elements whose orders do not ...
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Order, type and cotype of growth for p-adic entire functions A survey with additional properties
... 1. Order and cotype of growth We denote by IK an algebraically closed field of characteristic 0, complete with respect to an ultrametric absolute value | ...IK-algebra of analytic functions in ...
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On the Growth of Solutions of Higher Order Complex Differential Equations with finite [p, q]-Order
... solution, Entire solution, [p, ...results of the Nevanlinna value distribution theory of meromorphic functions, see ( Hayman , 1964 ; Laine , 1993 ; Yang & Yi , 2003 ...
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Counting conjugacy classes of elements of finite order in Lie groups
... University of Rochester, Rochester, NY † Massachusetts Institute of Technology, Cambridge, MA Abstract Using combinatorial techniques, we answer two questions about simple classical Lie ...number of ...
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Efficient finite element assembly of high order Whitney forms
... Example of tree structure (triangle case). To reduce the number of needed bases, the permutations are compared to find rotations that can be ...sequence of 𝑉 vertices, the basis corresponding to an ...
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On the iterated order and the fixed points of entire solutions of some complex linear differential equations
... [10] I. Laine, Nevanlinna Theory and Complex Differential Equations, Walter de Gruyter, Berlin, New York, 1993. [11] J. Tu, Z. X. Chen and X. M. Zheng, Growth of solutions of com- plex differential ...
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Efficient finite element assembly of high order Whitney forms
... the finite element community that state of the art low order finite element technology requires, and will continue to require, too extensive computational resources to provide the necessary ...
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Elements of large order on varieties over prime finite fields
... Résumé. Soit V une variété algébrique fixée définie par m po- lynomes en n variables à coefficients entiers. Nous montrons qu’il existe une constante C(V) telle que pour presque tout nombre premier p, tous les points de ...
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Growth of meromorphic solutions of finite logarithmic order of linear difference equations
... logarithmic order of any non-constant rational function f is one, and thus, any transcendental meromorphic func- tion in the plane has logarithmic order no less than ...a function ...
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Some isomorphism results for graded twistings of function algebras on finite groups
... and of characteristic zero. We assume familiarity with the theory of Hopf algebras, for which [24] is a convenient reference, and we adopt the usual conventions: for ex- ample ∆, ε and S always respectively ...
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GROWTH AND OSCILLATION OF SOLUTIONS TO HIGHER ORDER LINEAR DIFFERENTIAL EQUATIONS WITH COEFFICIENTS OF FINITE LOGARITH-MIC ORDER
... exponent of convergence of distinct zeros of f (z) ...instead of n(r, 1 f ) (or n(r, f 1 )) respectively (see ...logarithmic order of N (r, 1 f ) is equal to λ log (f ) + 1, (see ...
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Range of the gradient of a smooth bump function in finite dimensions
... R N is actually the Hessian of the function f . We argue by contradiction and so we assume that ¯ k < N . By the previous remark, for any y ∈ R N , DF (y) is a symmetric matrix, the nontrivial vector ...
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Calculation of third order joint acceptance function for line-like structures
... correlation function is also function of the two distinct positions, ...ity of the structural displacement aligned with the wind is low compared to the wind velocity, the total non-gaussian ...
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High order extended finite element method for cracked domains
... HAL Id: hal-00815711 https://hal.archives-ouvertes.fr/hal-00815711 Submitted on 19 Apr 2013 HAL is a multi-disciplinary open access archive for the deposit and dissemination of sci- entific research documents, ...
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