Results 11 to 20 of about 7,023 (242)
Nevanlinna theory of the Askey–Wilson divided difference operator [PDF]
, 2018 This paper establishes a version of Nevanlinna theory based on Askey-Wilson divided difference operator for meromorphic functions of finite logarithmic order in the complex plane $\mathbb{C}$.
Yik‐Man Chiang, Shaoji Feng
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Nevanlinna theory on the p-adic plane [PDF]
Annales Polonici Mathematici, 1992 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Capi Corrales Rodrigáñez
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The inverse problem of the Nevanlinna theory [PDF]
Acta Mathematica, 1977 David Drasin
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Finite and infinite order of growth of solutions to linear differential equations near a singular point [PDF]
Mathematica Bohemica, 2021 In this paper, we investigate the growth of solutions of a certain class of linear differential equation where the coefficients are analytic functions in the closed complex plane except at a finite singular point.
Samir Cherief, Saada Hamouda
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On Some New Results in Large Area Nevanlinna Spaces in the Unit Disk
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2023 The study of various infinite products in various spaces of analytic functions in the unit disk is a well known and well studied problem of complex function theory in the unit disk.
Shamoyan, R., Mihi´c, O.
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AIMS Mathematics, 2021 By making use of the Nevanlinna theory and difference Nevanlinna theory of several complex variables, we investigate some properties of the transcendental entire solutions for several systems of partial differential difference equations of Fermat type ...
Hong Li , Keyu Zhang, Hongyan Xu
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On meromorphic solutions of certain differential-difference equations
AIMS Mathematics, 2021 In this article, we mainly use Nevanlinna theory to investigate some differential-difference equations. Our results about the existence and the forms of solutions for these differential-difference equations extend the previous theorems given by Wang, Xu ...
Yong Liu, Chaofeng Gao, Shuai Jiang
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Nevanlinna theory of the Wilson divided-difference operator
, 2017 Sitting at the top level of the Askey-scheme, Wilson polynomials are regarded as the most general hypergeometric orthogonal polynomials. Instead of a differential equation, they satisfy a second order Sturm-Liouville type difference equation in terms of ...
Kam Hang Cheng, Yik‐Man Chiang
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A fundamental theorem for algebroid function in k-punctured complex plane
AIMS Mathematics, 2021 The main purpose of this article is to study the value distribution of algebroid function in the k-punctured complex plane. We establish the second fundamental theorems for algebroid function concerning small algebroid functions in the k-punctured ...
Hong Yan Xu +3 more
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Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2021 This paper contains an overview of recent results of Area-Nevanlinna classes in higher dimension. We here consider various aspects of this new interesting research area of analytic function theory in higher dimension (integral operations, embedding ...
Shamoyan, R.F.
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