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Journal articles on the topic 'Universal Functions'

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Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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1

Larson, Paul B., Arnold W. Miller, Juris Steprāns, and William A. R. Weiss. "Universal functions." Fundamenta Mathematicae 227, no. 3 (2014): 197–245. http://dx.doi.org/10.4064/fm227-3-1.

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2

Bonilla, A. "Universal harmonic functions." Quaestiones Mathematicae 25, no. 4 (December 2002): 527–30. http://dx.doi.org/10.2989/16073600209486036.

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3

Aron, Richard, and Dinesh Markose. "ON UNIVERSAL FUNCTIONS." Journal of the Korean Mathematical Society 41, no. 1 (January 1, 2004): 65–76. http://dx.doi.org/10.4134/jkms.2004.41.1.065.

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4

Chan, Kit C. "Universal meromorphic functions." Complex Variables, Theory and Application: An International Journal 46, no. 4 (November 2001): 307–14. http://dx.doi.org/10.1080/17476930108815418.

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5

Bogmér, A., and A. Sövergjártó. "On universal functions." Acta Mathematica Hungarica 49, no. 1-2 (March 1987): 237–39. http://dx.doi.org/10.1007/bf01956327.

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6

Al-Roomi, Ali R., and Mohamed E. El-Hawary. "Universal Functions Originator." Applied Soft Computing 94 (September 2020): 106417. http://dx.doi.org/10.1016/j.asoc.2020.106417.

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7

Gorkin, Pamela, and Raymond Mortini. "Universal Singular Inner Functions." Canadian Mathematical Bulletin 47, no. 1 (March 1, 2004): 17–21. http://dx.doi.org/10.4153/cmb-2004-003-0.

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AbstractWe show that there exists a singular inner function S which is universal for noneuclidean translates; that is one for which the set is locally uniformly dense in the set of all zero-free holomorphic functions in bounded by one.

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8

Khisamiev, A. N. "Universal Functions Over Trees." Algebra and Logic 54, no. 2 (May 2015): 188–93. http://dx.doi.org/10.1007/s10469-015-9338-5.

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9

Polyakov, E. A. "On R-Universal Functions." Mathematical Notes 78, no. 1-2 (July 2005): 234–38. http://dx.doi.org/10.1007/s11006-005-0120-1.

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10

Costakis, GG, V. Nestoridis, and V. Vlachou. "Smooth univalent universal functions." Mathematical Proceedings of the Royal Irish Academy 107, no. 1 (January 1, 2007): 101–14. http://dx.doi.org/10.3318/pria.2007.107.1.101.

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11

Meyrath, Thierry. "Compositionally universal meromorphic functions." Complex Variables and Elliptic Equations 64, no. 9 (November 9, 2018): 1534–45. http://dx.doi.org/10.1080/17476933.2018.1538213.

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12

Luh, Wolfgang, Valeri A. Martirosian, and Jürgen Müller. "Restricted T-Universal Functions." Journal of Approximation Theory 114, no. 2 (February 2002): 201–13. http://dx.doi.org/10.1006/jath.2001.3640.

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13

Gan, Xiao-Xiong, and Karl R. Stromberg. "On universal primitive functions." Proceedings of the American Mathematical Society 121, no. 1 (January 1, 1994): 151. http://dx.doi.org/10.1090/s0002-9939-1994-1191868-x.

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14

Vogt, Andreas. "On Bounded Universal Functions." Computational Methods and Function Theory 12, no. 1 (January 21, 2012): 213–19. http://dx.doi.org/10.1007/bf03321823.

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15

Grigoryan, M. G., and L. N. Galoyan. "On the universal functions." Journal of Approximation Theory 225 (January 2018): 191–208. http://dx.doi.org/10.1016/j.jat.2017.08.003.

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16

Mouze, A. "On doubly universal functions." Journal of Approximation Theory 226 (February 2018): 1–13. http://dx.doi.org/10.1016/j.jat.2017.11.001.

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17

Blass, Andreas. "Functions on universal algebras." Journal of Pure and Applied Algebra 42, no. 1 (1986): 25–28. http://dx.doi.org/10.1016/0022-4049(86)90056-3.

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18

Luh, Wolfgang. "Multiply Universal Holomorphic Functions." Journal of Approximation Theory 89, no. 2 (May 1997): 135–55. http://dx.doi.org/10.1006/jath.1997.3036.

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19

Cichon, J., and M. Morayne. "Universal Functions and Generalized Classes of Functions." Proceedings of the American Mathematical Society 102, no. 1 (January 1988): 83. http://dx.doi.org/10.2307/2046036.

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20

Cicho{ń, J., and M. Morayne. "Universal functions and generalized classes of functions." Proceedings of the American Mathematical Society 102, no. 1 (January 1, 1988): 83. http://dx.doi.org/10.1090/s0002-9939-1988-0915721-6.

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21

Lamprecht, Martin, and Vassili Nestoridis. "Universal functions as series of rational functions." Revista Matemática Complutense 27, no. 1 (February 24, 2013): 225–39. http://dx.doi.org/10.1007/s13163-013-0116-4.

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22

ABE, Yukitaka, and Paolo ZAPPA. "Universal functions on Stein manifolds." Journal of the Mathematical Society of Japan 56, no. 1 (January 2004): 31–43. http://dx.doi.org/10.2969/jmsj/1191418694.

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23

Osipov, K. V. "On quasi-universal word functions." Moscow University Computational Mathematics and Cybernetics 40, no. 1 (January 2016): 28–34. http://dx.doi.org/10.3103/s0278641916010040.

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24

Logean, Antoine, Alessandro Sette, and Didier Rognan. "Customized versus universal scoring functions." Bioorganic & Medicinal Chemistry Letters 11, no. 5 (March 2001): 675–79. http://dx.doi.org/10.1016/s0960-894x(01)00021-x.

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25

Buckley, James J., and Thomas Feuring. "Universal approximators for fuzzy functions." Fuzzy Sets and Systems 113, no. 3 (August 2000): 411–15. http://dx.doi.org/10.1016/s0165-0114(98)00069-4.

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26

Vlachou, Vagia. "Functions with universal Faber expansions." Journal of the London Mathematical Society 80, no. 2 (August 21, 2009): 531–43. http://dx.doi.org/10.1112/jlms/jdp038.

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27

Bernal-González, Luis, and Alfonso Montes-Rodríguez. "Universal functions for composition operators." Complex Variables, Theory and Application: An International Journal 27, no. 1 (January 1995): 47–56. http://dx.doi.org/10.1080/17476939508814804.

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28

Negri, Maurizio. "UNIVERSAL FUNCTIONS IN PARTIAL STRUCTURES." Zeitschrift für Mathematische Logik und Grundlagen der Mathematik 38, no. 1 (1992): 253–68. http://dx.doi.org/10.1002/malq.19920380121.

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29

Bernal-González, Luis. "Universal functions for taylor shifts." Complex Variables, Theory and Application: An International Journal 31, no. 2 (October 1996): 121–29. http://dx.doi.org/10.1080/17476939608814953.

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30

OKABE, YUTAKA, and MACOTO KIKUCHI. "UNIVERSAL FINITE-SIZE-SCALING FUNCTIONS." International Journal of Modern Physics C 07, no. 03 (June 1996): 287–94. http://dx.doi.org/10.1142/s0129183196000223.

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The idea of universal finite-size-scaling functions of the Ising model is tested by Monte Carlo simulations for various lattices. Not only regular lattices such as the square lattice but quasiperiodic lattices such as the Penrose lattice are treated. We show that the finite-size-scaling functions of the order parameter for various lattices are collapsed on a single curve by choosing two nonuniversal scaling metric factors. We extend the idea of the universal finite-size-scaling functions to the order-parameter distribution function. We pay attention to the effects of boundary conditions.

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31

Khisamiev, A. N. "Universal Functions and KΣ-Structures." Siberian Mathematical Journal 61, no. 3 (May 2020): 552–62. http://dx.doi.org/10.1134/s0037446620030192.

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32

Buczolich, Z. "On universal functions and series." Acta Mathematica Hungarica 49, no. 3-4 (September 1987): 403–14. http://dx.doi.org/10.1007/bf01951004.

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33

Costakis, G., and V. Vlachou. "Interpolation by universal, hypercyclic functions." Journal of Approximation Theory 164, no. 5 (May 2012): 625–36. http://dx.doi.org/10.1016/j.jat.2012.01.006.

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34

McIntosh, Richard J. "The H and K Family of Mock Theta Functions." Canadian Journal of Mathematics 64, no. 4 (August 1, 2012): 935–60. http://dx.doi.org/10.4153/cjm-2011-066-0.

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AbstractIn his last letter to Hardy, Ramanujan defined 17 functionsF(q), |q| < 1, which he calledmockθ-functions. He observed that asqradially approaches any root of unity ζ at whichF(q) has an exponential singularity, there is aθ-functionTζ(q) withF(q) −Tζ(q) =O(1). Since then, other functions have been found that possess this property. These functions are related to a functionH(x,q), wherexis usuallyqrore2πirfor some rational numberr. For this reason we refer toHas a “universal” mockθ-function. Modular transformations ofHgive rise to the functionsK,K1,K2. The functionsKandK1appear in Ramanujan's lost notebook. We prove various linear relations between these functions using Appell–Lerch sums (also called generalized Lambert series). Some relations (mock theta “conjectures”) involving mockθ-functions of even order andHare listed.

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35

Koumoullis, G., W. Luh, and V. Nestoridis. "Universal functions are automatically universal in the sense of Menchoff." Complex Variables and Elliptic Equations 52, no. 4 (April 2007): 307–14. http://dx.doi.org/10.1080/17476930600961954.

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36

Voronenko, Andrey A., and Anna S. Okuneva. "Universal functions for linear functions depending on two variables." Discrete Mathematics and Applications 30, no. 5 (October 27, 2020): 353–56. http://dx.doi.org/10.1515/dma-2020-0032.

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37

Ablayev, F. M. "Universal Hash Functions from Quantum Procedures." Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 162, no. 3 (2020): 259–68. http://dx.doi.org/10.26907/2541-7746.2020.3.259-268.

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38

Bayart, Frédéric. "Universal Inner Functions on the Ball." Canadian Mathematical Bulletin 51, no. 4 (December 1, 2008): 481–86. http://dx.doi.org/10.4153/cmb-2008-048-8.

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AbstractIt is shown that given any sequence of automorphisms (ϕk)k of the unit ball of ℂN such that ‖ϕk(0)‖ tends to 1, there exists an inner function I such that the family of “non-Euclidean translates” (I о ϕk)k is locally uniformly dense in the unit ball of H∞().

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39

Khisamiev, A. N. "Universal Functions and Unbounded Branching Trees." Algebra and Logic 57, no. 4 (September 2018): 309–19. http://dx.doi.org/10.1007/s10469-018-9502-9.

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40

BAYART, FRÉDÉRIC. "UNIVERSAL RADIAL LIMITS OF HOLOMORPHIC FUNCTIONS." Glasgow Mathematical Journal 47, no. 2 (July 27, 2005): 261–67. http://dx.doi.org/10.1017/s0017089505002478.

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41

Herzog, Gerd. "On zero-free universal entire functions." Archiv der Mathematik 63, no. 4 (October 1994): 329–32. http://dx.doi.org/10.1007/bf01189569.

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42

Melas, Antonios D. "On the growth of universal functions." Journal d'Analyse Mathématique 82, no. 1 (December 2000): 1–20. http://dx.doi.org/10.1007/bf02791219.

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43

Melas, Antonios D. "Universal functions on nonsimply connected domains." Annales de l’institut Fourier 51, no. 6 (2001): 1539–51. http://dx.doi.org/10.5802/aif.1865.

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44

Koszmider, Piotr. "Universal matrices and strongly unbounded functions." Mathematical Research Letters 9, no. 4 (2002): 549–66. http://dx.doi.org/10.4310/mrl.2002.v9.n4.a15.

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45

Nieß, Markus. "Generic approach to multiply universal functions." Complex Variables and Elliptic Equations 53, no. 9 (September 2008): 819–31. http://dx.doi.org/10.1080/17476930802130523.

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46

Abe, Yukitaka. "UNIVERSAL HOLOMORPHIC FUNCTIONS IN SEVERAL VARIABLES." Analysis 17, no. 1 (March 1997): 71–78. http://dx.doi.org/10.1524/anly.1997.17.1.71.

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47

Vlachou, V. "On some classes of universal functions." Analysis 22, no. 2 (June 2002): 149–62. http://dx.doi.org/10.1524/anly.2002.22.2.149.

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48

Luh, Wolfgang. "Entire functions with various universal properties." Complex Variables, Theory and Application: An International Journal 31, no. 1 (September 1996): 87–96. http://dx.doi.org/10.1080/17476939608814949.

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49

Golitsyna, Mayya. "Universal Laurent expansions of harmonic functions." Journal of Mathematical Analysis and Applications 458, no. 1 (February 2018): 281–99. http://dx.doi.org/10.1016/j.jmaa.2017.09.006.

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50

Costakis, G., and A. Melas. "On the Range of Universal Functions." Bulletin of the London Mathematical Society 32, no. 4 (July 2000): 458–64. http://dx.doi.org/10.1112/s0024609300007268.

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