Results 11 to 20 of about 10,487,514 (263)
Fractal and FractionalIn this paper, we defined a new family of meromorphic functions whose analytic characterization was motivated by the definition of the multiplicative derivative.
Daniel Breaz +2 more
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The derivative of a meromorphic function [PDF]
Proceedings of the American Mathematical Society, 1956 1. It has been shown by Valiron [2] and Whittaker [3] that the derivative of a meromorphic function of finite order is of the same order as the function itself. This result, as pointed out by Whittaker, is equivalent to the following. THEOREM. If f (z) and g(z) are two integral functions of orders Pi and P2 with pl > p2, then f '(z)g(z) -f (z)g'(z) is ...
J. Clunie
openaire +2 more sources
The three-loop equal-mass banana integral in ε-factorised form with meromorphic modular forms [PDF]
Journal of High Energy Physics, 2022 We show that the differential equation for the three-loop equal-mass banana integral can be cast into an ε-factorised form with entries constructed from (meromorphic) modular forms and one special function, which can be given as an iterated integral of ...
Sebastian Pögel +2 more
semanticscholar +1 more source
Fuzzy Differential Subordination for Meromorphic Function
Axioms, 2022 This paper is related to notions adapted from fuzzy set theory to the field of complex analysis, namely fuzzy differential subordinations. This work aims to present new fuzzy differential subordinations for which the fuzzy best dominant and fuzzy best ...
S. El-Deeb +3 more
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Symmetry, 2021 Making use of a post-quantum derivative operator, we define two classes of meromorphic analytic functions. For the considered family of functions, we aim to investigate the sharp bounds’ values in the case of the Fekete–Szegö problem.
Adriana Cătaș
semanticscholar +1 more source
Continuity of the Green function in meromorphic families of polynomials [PDF]
Algebra & Number Theory, 2017 We prove that along any marked point the Green function of a meromorphic family of polynomials parameterized by the punctured unit disk explodes exponentially fast near the origin with a continuous error term.
C. Favre, T. Gauthier
semanticscholar +1 more source
Bounded Fatou and Julia components of meromorphic functions [PDF]
Mathematische Annalen, 2022 We completely characterise the bounded sets that arise as components of the Fatou and Julia sets of meromorphic functions. On the one hand, we prove that a bounded domain is a Fatou component of some meromorphic function if and only if it is regular.
David Mart'i-Pete +2 more
semanticscholar +1 more source
Preserving Classes of Meromorphic Functions through Integral Operators
Symmetry, 2022 We consider three new classes of meromorphic functions defined by an extension of the Wanas operator and two integral operators, in order to study some preservation properties of the classes.
E. Totoi, Luminița-Ioana Cotîrlă
semanticscholar +1 more source
On Meromorphic Functions Defined by a New Operator Containing the Mittag-Leffler Function
Symmetry, 2019 This study defines a new linear differential operator via the Hadamard product between a q-hypergeometric function and Mittag–Leffler function. The application of the linear differential operator generates a new subclass of meromorphic function ...
Suhila Elhaddad, M. Darus
semanticscholar +1 more source
Meromorphic Functions That Share One Finite Value CM or IM with Their First Derivative [PDF]
مجلة جامعة الانبار للعلوم الصرفة, 2012 In this paper we shall prove that if a non-constant meromorphic function and its derivative share the value CM (IM) and if ( ), then either or ( ), where and are constants. These results give improvement and extension of the following result of Gundersen:
Amer H. H. Al-Khaladi
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