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On Transcendental Numbers [PDF]
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 Felix Nichita
exaly +8 more sources
On Transcendental Numbers: New Results and a Little History
Axioms, 2018 Bringing toghether mathematical and philosophical ideas related to transcendental numbers, this paper begins with a survey on transcendence and transcendental numbers, it then presents several properties of the transcendental numbers e and π , and ...
Solomon Marcus, Florin Felix Nichita
exaly +6 more sources
Origin of Irrational Numbers and Their Approximations
Computation, 2021 In this article a sincere effort has been made to address the origin of the incommensurability/irrationality of numbers. It is folklore that the starting point was several unsuccessful geometric attempts to compute the exact values of 2 and π.
Ravi P. Agarwal, Hans Agarwal
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Algebraic values of sines and cosines and their arguments
Lietuvos Matematikos Rinkinys, 2021 The article introduces the reader to some amazing properties of trigonometric functions. It turns out that if the values of the arguments of the functions sin x, cos x, tg x and ctg x, expressed in radians, are algebraic numbers, then the values of these
Edmundas Mazėtis +1 more
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Topological Transcendental Fields
Axioms, 2022 This article initiates the study of topological transcendental fields F which are subfields of the topological field C of all complex numbers such that F only consists of rational numbers and a nonempty set of transcendental numbers. F, with the topology
Taboka Prince Chalebgwa +1 more
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The Value distribution of meromorphic functions with relative (k; n) Valiron defect on annuli
Математичні Студії, 2022 In the paper, we study and compare relative $(k,n)$ Valiron defect with the relative Nevanlinna defect for meromorphic function where $k$ and $n$ are both non negative integers on annuli. The results we proved are as follows \\ 1.
A. Rathod
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On Mahler’s p-adic S-, T -, and U-numbers
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020 We consider some lacunary power series with rational coefficients in p. We show that under certain conditions these series take transcendental values at non-zero rational number arguments, and we determine the classes of these transcendental values with
Bugeaud Yann, Kekeç Gülcan
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Algebraic Numbers of the form αT with α Algebraic and T Transcendental
Mathematics, 2020 Let α≠1 be a positive real number and let P(x) be a non-constant rational function with algebraic coefficients. In this paper, in particular, we prove that the set of algebraic numbers of the form αP(T), with T transcendental, is dense in some open ...
Štěpán Hubálovský, Eva Trojovská
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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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Algebraic and transcendental numbers [PDF]
Rendiconti del Circolo Matematico di Palermo, 1914 n ...
Bauer, G. N., Slobin, H. L.
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