Results 31 to 40 of about 5,364,433 (202)
Notes on meromorphic functions sharing small function and its derivatives
Arab Journal of Mathematical Sciences, 2015 In this paper we study the uniqueness theorems of meromorphic functions which share a small function with its derivatives, and give some results which are related to the results of P. Li.
Amer H.H. Al-Khaladi
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Journal of Geophysical Research: Space Physics, Volume 131, Issue 4, April 2026.Abstract A sudden drop in solar radiation during an annular (or total) eclipse directly affects ionospheric electrodynamics, primarily through the reduction of solar extreme ultraviolet (EUV) and soft X‐ray flux, which are responsible for generating the ionospheric plasma.
Charles Owolabi +6 more
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GCD inequalities arising from codimension‐2 blowups
Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.Abstract Assuming a deep Diophantine geometry conjecture by Vojta, Silverman proved an inequality giving an upper bound for the greatest common divisor (GCD). In this paper, we unconditionally prove a weaker version of this inequality. The main ingredient is the Ru–Vojta theory, which provides an efficient method of using Schmidt subspace theorem.
Yu Yasufuku
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Commuting Toeplitz Operators With Mixed Quasihomogeneous and Analytic Symbols
Journal of Mathematics, Volume 2026, Issue 1, 2026.A major open problem in the theory of Toeplitz operators on the analytic Bergman space over the unit disk is the characterization of the commutant of a given Toeplitz operator, that is, the set of all bounded Toeplitz operators that commute with it. In this paper, we provide a complete description of bounded Toeplitz operators Tf, where the symbol f ...
Aissa Bouhali +3 more
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Meromorphic Function of Fuzzy Complex Variables
Journal of New Theory, 2018 The fuzzy complex set is a fuzzy set whose values lies in the unit circle jzj · 1 in the complex plane. The Nevanlinna characteristic function playes an important role in the theory of entire and meromorphic function. In this paper we introduce
Arindam Jha
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Entire function sharing two polynomials with its $k$th derivative [PDF]
Mathematica BohemicaWe investigate the uniqueness problem of entire functions that share two polynomials with their $k$th derivatives and obtain some results which improve and generalize the recent result due to Lü and Yi (2011).
Sujoy Majumder, Nabadwip Sarkar
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This research primarily concerns differential‐difference equations of h¯h_+rzhm/h=Mz,h=Uz,h/Fz,hand h¯h_+rzh′/hm=Mz,h=Uz,h/Fz,h, where U(z, h) and F(z, h) are coprime polynomials in h with rational coefficients, r(z) is rational, m ≥ 1 is an integer, and h¯=hz+1, h_=hz−1.
Changwen Peng +3 more
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A behavioral view of Nevanlinna-Pick interpolation
, 2005 The classical Nevanlinna-Pick (NP) interpolation problem is about finding a rational function that satisfies given interpolation conditions, along with a norm condition.
PILLAI, HARISH K +3 more
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Karpatsʹkì Matematičnì Publìkacìï, 2021 The purpose of this paper is to obtain some sufficient conditions to determine the relation between a meromorphic function and an $L$-function when certain differential polynomial generated by them sharing a one degree polynomial. The main theorem of the
A. Banerjee, S. Bhattacharyya
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Representing maps for semibounded forms and their Lebesgue‐type decompositions
Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.Abstract In the Lebesgue decomposition of a lower semibounded sesquilinear form, the corresponding regular and singular parts are mutually singular. The more general Lebesgue‐type decompositions studied here allow components that need not be mutually singular anymore.
S. Hassi, H. S. V. de Snoo
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