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On the Difference of Orthonormal Polynomials
Quaestiones Mathematicae, 2003We establish an estimate on the difference of orthonormal polynomials for a general class of exponential weights. Mathematics Subject Classification (2000): 41A05, 05E35, 41A65 Key words: Orthonormal polynomials, exponential weights Quaestiones Mathematicae 26(2003), 347 ...
Kubayi D.G., Mashele H.P.
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On properties of difference polynomials
Acta Mathematica Scientia, 2011Abstract We study the value distribution of difference polynomials of meromorphic functions, and extend classical theorems of Tumura-Clunie type to difference polynomials. We also consider the value distribution of f(z)f(z+c) .
Chen Zongxuan, Huang Zhibo, Zheng Xiumin
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Difference polynomials and their generalizations
Mathematika, 2001A well-known result of Ehrenfeucht states that a difference polynomial f(X)-g(Y) in two variables X, Y with complex coefficients is irreducible if the degrees of f and g are coprime. Panaitopol and Stefanescu generalized this result, by giving an irreducibility condition for a larger class of polynomials called “generalized difference polynomials ...
Sudesh K. Khanduja, Saurabh Bhatia
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Value distribution and uniqueness of $q$-shift difference polynomials
, 2016In this paper, we deal with the distribution of zeros of q-shift difference polynomials of transcendental entire functions of zero order. At the same time we also investigate the uniqueness problems when two difference products of entire functions share ...
P. Sahoo, G. Biswas
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Uniqueness of difference polynomials of entire functions
, 2014In this paper, we study the uniqueness of difference polynomials of entire functions f and g and a small function α. The result improves the result of J Zhang[13].
R. Dyavanal, R. V. Desai
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The class of meromorphic functions sharing values with their difference polynomials
Indian journal of pure and applied mathematics, 2022M. B. Ahamed
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Uniqueness of meromorphic functions sharing sets with its linear difference polynomials
The Journal of Analysis, 2022Goutam Haldar
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A Note on the Uniqueness of Certain Types of Differential-Difference Polynomials
Ukrainian Mathematical Journal, 2021S. Majumder, S. Saha
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Value distribution of difference polynomials of meromorphic functions
, 2012We investigate the characteristic function and the zeros of difference polynomials. In particular, wepartly extend the Valiron-Mohon’ko theorem to difference polynomials and establish difference analogues of someclassical results about the zeros of ...
Ranran Zhang, Zong-Xuan Chen
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