Results 1 to 10 of about 10,519,387 (260)
On the order function of a transcendental number [PDF]
Acta Arithmetica, 1971 Let \(u\) run over all rational integers. If \(a(u)\) and \(b(u)\) are positive nondecreasing functions (not non-increasing, as in the text), and if positive constants \(c,C\), and \(u_0\) exist such that \(a(u^c)\ge Cv(u)\) for \(u\ge u_0\), we write \(a(u) \gg b(u)\) or \(b(u)\ll a(u)\); further \(a(u) >< \log u\).
K. Mahler
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Julia and Mandelbrot Sets of Transcendental Function via Fibonacci-Mann Iteration
Journal of Function Spaces, 2022 In this paper, utilizing the Fibonacci-Mann iteration process, we explore Julia and Mandelbrot sets by establishing the escape criteria of a transcendental function, sinzn+az+c, n≥2; here, z is a complex variable, and a and c are complex numbers.
Nihal Özgür, Swati Antal, Anita Tomar
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Impact of Transcendental Meditation® on cardiovascular function at rest and during acute stress in adolescents with high normal blood pressure [PDF]
Journal of Psychosomatic Research, 2001 Vernon A. Barnes +2 more
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Differentially transcendental functions [PDF]
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2008 The aim of this paper is to exhibit a method for proving that certain analytic functions are not solutions of algebraic differential equations. The method is based on model-theoretic properties of differential fields and properties of certain known transcendental differential functions, as of $ (x)$.
Branko Malešević, Žarko Mijajlović
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Axioms, 2014 Transcendental numbers play an important role in many areas of science. This paper contains a short survey on transcendental numbers and some relations among them.
Florin F. Nichita
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Khoa Học ứng Dụng, 2021 This survey-cum-expository review article is motivated essentially by the widespread usages of the operators of fractional calculus (that is, fractional-order integrals and fractional-order derivatives) in the modeling and analysis of a remarkably large ...
Hari Mohan Srivastava
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Uniqueness of Transcendental Meromorphic Functions with Their Nonlinear Differential Polynomials Sharing the Small Function [PDF]
International Journal of Mathematics and Mathematical Sciences, 2007 We deal with some uniqueness theorems of two transcendental meromorphic functions with their nonlinear differential polynomials sharing a small function. These results in this paper improve those given by C.-Y. Fang and M.-L.
Hong-Yan Xu
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On the Composition of Transcendental Entire and Meromorphic Functions [PDF]
Proceedings of the American Mathematical Society, 1995 It is proved that f ( g ) − R f(g) - R has infinitely many zeros if f is a transcendental meromorphic, g a transcendental entire, and R a non-constant rational function. The exponent of convergence of the sequence of zeros of f ( g ) − R f(
Walter Bergweiler
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A TRANSCENDENTAL FUNCTION INVARIANT OF VIRTUAL KNOTS [PDF]
Journal of the Mathematical Society of Japan, 2015 In this work we describe a new invariant of virtual knots. We show that this transcendental function invariant generalizes several polynomial invariants of virtual knots, such as the writhe polynomial, the affine index polynomial and the zero polynomial.
Zhiyun Cheng
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Geometrically finite transcendental entire functions [PDF]
Journal of the London Mathematical Society, 2020 For polynomials, local connectivity of Julia sets is a much‐studied and important property. Indeed, when the Julia set of a polynomial of degree d⩾2$d\geqslant 2$ is locally connected, the topological dynamics can be completely described as a quotient of
M. Alhamed, Lasse Rempe, D. Sixsmith
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