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On Meromorphic Harmonic Functions Associated with the Polylogarithm Function
MathematicsThis paper examines the relationship between the classical polylogarithm function and meromorphic harmonic univalent mappings. Using a convolution operator derived from the polylogarithm function, we define a class of harmonic meromorphic functions and ...
Huda Ali Aldweby
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Value Distribution and Uniqueness Results of Zero-Order Meromorphic Functions to Their q-Shift
Discrete Dynamics in Nature and Society, 2012 We investigate value distribution and uniqueness problems of meromorphic functions with their q-shift. We obtain that if f is a transcendental meromorphic (or entire) function of zero order, and Q(z) is a polynomial, then afn(qz)+f(z)−Q(z) has infinitely
Haiwa Guan, Gang Wang, Qiuqin Luo
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Meromorphic function sharing a small function with a linear differential polynomial [PDF]
Mathematica Bohemica, 2016 The problem of uniqueness of an entire or a meromorphic function when it shares a value or a small function with its derivative became popular among the researchers after the work of Rubel and Yang (1977).
Indrajit Lahiri, Amit Sarkar
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Nontrivial Massey products on compact Kähler manifolds
Journal of Topology, Volume 19, Issue 4, December 2026.Abstract By a result of Deligne, Griffiths, Morgan, and Sullivan, compact Kähler manifolds are rationally formal. In contrast to this, we show that the pluripotential quasi‐isomorphism type of the bigraded, bidifferential algebra of forms on a compact Kähler manifold generally contains more information than the de Rham cohomology algebra with its real ...
Giovanni Placini +2 more
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Uniqueness of a meromorphic functions that share one small function and its derivative. [PDF]
, 2016 In this paper we consider the problem of uniqueness of meromorphic functions that share one small function and its derivatives, and obtain two theorems which improve the result of Qingcai Zhang [11]
Husna, V., Harina, P. Waghamore.
core
Bulletin of the London Mathematical Society, Volume 58, Issue 10, October 2026.Abstract We characterize the extreme and exposed points of the unit ball (with respect to the L1$L^1$‐norm) in the shift‐invariant space generated by the Gaussian function, as well as in the quasi‐shift‐invariant space generated by the hyperbolic secant.
Markus Valås Hagen +3 more
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Geometric spectral properties of electromagnetic waveguides
Journal of the London Mathematical Society, Volume 114, Issue 4, October 2026.Abstract We consider a homogeneous, isotropic electromagnetic waveguide with simply connected cross‐section embedded in a perfect conductor. We investigate the influence of geometric deformations, namely bending and twisting, on the real spectrum of the associated self‐adjoint Maxwell operator. We first establish sufficient conditions on the asymptotic
Philippe Briet +3 more
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The Properties of Meromorphic Multivalent q-Starlike Functions in the Janowski Domain
Fractal and Fractional, 2023 Many researchers have defined the q-analogous of differential and integral operators for analytic functions using the concept of quantum calculus in the geometric function theory.
Isra Al-Shbeil +5 more
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Mixed motives and linear forms in the Catalan constant
Journal of the London Mathematical Society, Volume 114, Issue 4, October 2026.Abstract We first give a geometric construction of a two‐dimensional mixed motive over Q${\mathbb {Q}}$ with the Catalan constant G=1−1/32+1/52−1/72+⋯${\mathbf {G}}=1-1/3^2+1/5^2-1/7^2+\cdots$ as a period. We then use this motive to obtain a supply of linear forms in 1 and G${\mathbf {G}}$.
Payman Eskandari +2 more
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Value Distribution for a Class of Small Functions in the Unit Disk
International Journal of Mathematics and Mathematical Sciences, 2011 If 𝑓 is a meromorphic function in the complex plane, R. Nevanlinna noted that its characteristic function 𝑇(𝑟,𝑓) could be used to categorize 𝑓 according to its rate of growth as |𝑧|=𝑟→∞. Later H.
Paul A. Gunsul
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