Results 31 to 40 of about 5,149,052 (165)
On New p-Valent Meromorphic Function Involving Certain Differential and Integral Operators
Abstract and Applied Analysis, 2014 We define new subclasses of meromorphic p-valent functions by using certain differential operator. Combining the differential operator and certain integral operator, we introduce a general p-valent meromorphic function.
Aabed Mohammed, Maslina Darus
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Rational maps with real multipliers [PDF]
, 2009 Let f be a rational function such that the multipliers of all repelling periodic points are real. We prove that the Julia set of such a function belongs to a circle. Combining this with a result of Fatou we conclude that whenever J(f) belongs to a smooth
Eremenko, A +5 more
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Discrete Dynamics in Nature and Society, 2020 In this paper, we study the higher order differential equation fk+Bf=H, where B is a rational function, having a pole at ∞ of order n>0, and H≡0 is a meromorphic function with finite order, and obtain some properties related to the order and zeros of its
Chuang-Xin Chen +2 more
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Uniqueness of $q$-shift difference polynomials of meromorphic functions sharing a small function [PDF]
, 2020 summary:We investigate the uniqueness of a $q$-shift difference polynomial of meromorphic functions sharing a small function which extend the results of N. V.
Desai, Rajalaxmi V. +1 more
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An Inequality of Meromorphic Functions and Its Application
The Scientific World Journal, 2014 By applying Ahlfors theory of covering surface, we establish a fundamental inequality of meromorphic function dealing with multiple values in an angular domain.
Zhaojun Wu, Yuxian Chen, Zuxing Xuan
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Orbit Growth of Shift Spaces Induced by Bouquet Graphs and Dyck Shifts
Mathematics, 2021 For a discrete dynamical system, the prime orbit and Mertens’ orbit counting functions describe the growth of its closed orbits in a certain way. The asymptotic behaviours of these counting functions can be determined via Artin–Mazur zeta function of the
Azmeer Nordin, Mohd Salmi Md Noorani
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Properties of Meromorphic Spiral-Like Functions Associated with Symmetric Functions
Journal of Function Spaces, 2022 To consolidate or adapt to many studies on meromorphic functions, we define a new subclass of meromorphic functions of complex order involving a differential operator.
Daniel Breaz +3 more
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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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A subclass of harmonic meromorphic functions [PDF]
, 2007 Complex-valued harmonic meromorphic functions that are univalent and orientation preserving outside the unit circle Ũ can be written in the form f = h + g, where h and g are analytic in Ũ.
Aini Janteng, Suzeini Abdul Halim
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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
wiley +1 more source