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Journal articles on the topic 'Complex Functions'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Girg, Petr, and Lukáš Kotrla. "Generalized trigonometric functions in complex domain." Mathematica Bohemica 140, no. 2 (2015): 223–39. http://dx.doi.org/10.21136/mb.2015.144328.

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2

Abdul-Kadir, Fryad H. "Some properties of Fundamental Complex functions." Journal of Zankoy Sulaimani - Part A 12, no. 1 (2009): 77–83. http://dx.doi.org/10.17656/jzs.10197.

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3

Xie, Yonghong, Heju Yang, and Yuying Qiao. "Complexk-hypermonogenic functions in complex Clifford analysis." Complex Variables and Elliptic Equations 58, no. 10 (2013): 1467–79. http://dx.doi.org/10.1080/17476933.2012.686496.

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4

Marmi, Stefano, Pierre Moussa, and Jean-Christophe Yoccoz. "Complex Brjuno functions." Journal of the American Mathematical Society 14, no. 4 (2001): 783–841. http://dx.doi.org/10.1090/s0894-0347-01-00371-x.

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5

Apolloni, Bruno, Simone Bassis, Sabrina Gaito, and Dario Malchiodi. "Bootstrapping complex functions." Nonlinear Analysis: Hybrid Systems 2, no. 2 (2008): 648–64. http://dx.doi.org/10.1016/j.nahs.2006.12.003.

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6

Schneiter, Roger, and Charles N. Cole. "Integrating complex functions." Nucleus 1, no. 5 (2010): 387–92. http://dx.doi.org/10.4161/nucl.1.5.12333.

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7

Samorì, P., F. Cacialli, H. L. Anderson, and A. E. Rowan. "Towards Complex Functions from Complex Materials." Advanced Materials 18, no. 10 (2006): 1235–38. http://dx.doi.org/10.1002/adma.200600601.

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8

Baker, Henry G. "Less complex elementary functions." ACM SIGPLAN Notices 27, no. 11 (1992): 15–16. http://dx.doi.org/10.1145/141018.141022.

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9

Breda, Ana Maria D’azevedo, and José Manuel Dos Santos Dos Santos. "Complex functions with GeoGebra." Teaching Mathematics and its Applications 35, no. 2 (2016): 102–10. http://dx.doi.org/10.1093/teamat/hrw010.

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10

Jung, Frank. "Reliably Testing Complex Functions." ATZ worldwide 125, no. 1 (2022): 16–17. http://dx.doi.org/10.1007/s38311-022-1447-x.

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11

Wegert, Elias. "Complex Functions and Images." Computational Methods and Function Theory 13, no. 1 (2013): 3–10. http://dx.doi.org/10.1007/s40315-013-0007-1.

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12

Nizami, Mustafa, and Turaç Taner. "The Fekete-Szegö Problem for Certain Subclass Bi-univalent Functions of Complex Order." Journal of Scientific and Engineering Research 8, no. 1 (2021): 27–37. https://doi.org/10.5281/zenodo.10551791.

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<strong>Abstract</strong> In this paper, we introduce and investigate a subclass of analytic and bi-univalent functions of complex order on the open unit disk in the complex plane. Here, we solve the Fekete-Szegö problem for this function class.

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13

Vijender, Nallapu. "Approximation of Complex-Valued Functions by Fractal Functions." Advances in Pure and Applied Mathematics 12, no. 2 (2021): 1–14. http://dx.doi.org/10.21494/iste.op.2021.0645.

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14

Khudaikulova, Saida, and Nigina Anvarova. "COMPLEX NUMBERS AND THEIR CONNECTION WITH ANALYTIC FUNCTIONS." MEDICINE, PEDAGOGY AND TECHNOLOGY: THEORY AND PRACTICE 2, no. 12 (2024): 289–92. https://doi.org/10.5281/zenodo.14549606.

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This paper explores the relationship between complex numbers and analytical functions. Complex numbers consist of real and imaginary parts and are widely used in various fields of mathematics. Analytic functions are crucial when working with complex variables. These functions are based on the Cauchy-Riemann equations, which define their properties in a given domain. The study examines the key concepts of complex functions, their differentiability, and analytical properties.

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15

Chen, Ying, Lvqing Bi, Bo Hu, and Songsong Dai. "General Complex-Valued Overlap Functions." Journal of Mathematics 2021 (January 20, 2021): 1–6. http://dx.doi.org/10.1155/2021/6613730.

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Overlap function is a special type of aggregation function which measures the degree of overlapping between different classes. Recently, complex fuzzy sets have been successfully applied in many applications. In this paper, we extend the concept of overlap functions to the complex-valued setting. We introduce the notions of complex-valued overlap, complex-valued 0-overlap, complex-valued 1-overlap, and general complex-valued overlap functions, which can be regarded as the generalizations of the concepts of overlap, 0-overlap, 1-overlap, and general overlap functions, respectively. We study som

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16

Shahmansouri, T., and M. Bidkham. "Inequalities for complex rational functions." Tbilisi Mathematical Journal 12, no. 2 (2019): 177–85. http://dx.doi.org/10.32513/tbilisi/1561082576.

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17

Bidkham, M., and E. Khojastehnezhad. "Inequalities for Complex Rational Functions." Ukrainian Mathematical Journal 73, no. 7 (2021): 1023–32. http://dx.doi.org/10.1007/s11253-021-01974-3.

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18

Bidkham, M., and E. Khojastehnezhad. "Inequalities for complex rational functions." Ukrains’kyi Matematychnyi Zhurnal 73, no. 7 (2021): 879–86. http://dx.doi.org/10.37863/umzh.v73i7.455.

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UDC 517.5 For the rational function having all its zeros in it is known thatwhere is a positive integer, and In this paper, we improve the above mentioned inequality for the rational function with all zeros in and a zero of order at the origin. Our main results refine and generalize some known rational inequalities.

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19

Chen, Ying, Lvqing Bi, Bo Hu, and Songsong Dai. "General Complex-Valued Grouping Functions." Journal of Mathematics 2021 (August 14, 2021): 1–6. http://dx.doi.org/10.1155/2021/5793151.

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Grouping function is a special kind of aggregation function which measures the amount of evidence in favor of either of the two choices. Recently, complex fuzzy sets have been successfully used in many fields. This paper extends the concept of grouping functions to the complex-valued setting. We introduce the concepts of complex-valued grouping, complex-valued 0-grouping, complex-valued 1-grouping, and general complex-valued grouping functions. We present some interesting results and construction methods of general complex-valued grouping functions.

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20

Adali, T., Hualiang Li, M. Novey, and J. F. Cardoso. "Complex ICA Using Nonlinear Functions." IEEE Transactions on Signal Processing 56, no. 9 (2008): 4536–44. http://dx.doi.org/10.1109/tsp.2008.926104.

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21

Ozgur, Nihal, Nihal Taş, and James Francis Peters. "New complex-valued activation functions." An International Journal of Optimization and Control: Theories & Applications (IJOCTA) 10, no. 1 (2020): 66–72. http://dx.doi.org/10.11121/ijocta.01.2020.00756.

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We present a new type of activation functions for a complex-valued neuralnetwork (CVNN). A proposed activation function is constructed such that itfixes a given ellipse. We obtain an application to a complex-valued Hopfieldneural network (CVHNN) using a special form of the introduced complexfunctions as an activation function. Considering the interesting geometricproperties of the plane curve ellipse such as focusing property, weemphasize that these properties may have possible applications in variousneural networks.

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22

Thirulogasanthar, K., and G. Honnouvo. "Coherent States with Complex Functions." International Journal of Theoretical Physics 43, no. 4 (2004): 1053–71. http://dx.doi.org/10.1023/b:ijtp.0000048600.07490.9b.

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23

Reza, F. M. "Generation of complex reactance functions." Journal of the Franklin Institute 330, no. 2 (1993): 423–30. http://dx.doi.org/10.1016/0016-0032(93)90014-l.

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24

Lester, June A. "Triangles III: Complex triangle functions." Aequationes Mathematicae 53, no. 1-2 (1997): 4–35. http://dx.doi.org/10.1007/bf02215963.

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25

Campos, Antonio Dorival. "Affinity between complex distribution functions." Trabajos de Estadistica 2, no. 2 (1987): 41–53. http://dx.doi.org/10.1007/bf02863591.

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26

Buescu, Jorge, and A. C. Paixão. "Complex Variable Positive Definite Functions." Complex Analysis and Operator Theory 8, no. 4 (2013): 937–54. http://dx.doi.org/10.1007/s11785-013-0319-1.

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27

Kirschfeld, Kuno. "Complex functions of the brain." Zoology 104, no. 3-4 (2001): 256–67. http://dx.doi.org/10.1078/0944-2006-00031.

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28

Yang, Qian, Ting Yang, and Sixing Yao. "Complex Functions and Residue Theorem." Highlights in Science, Engineering and Technology 38 (March 16, 2023): 789–96. http://dx.doi.org/10.54097/hset.v38i.5953.

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The features and connections of the mappings between complex number fields are thoroughly and methodically summarized and inferred by the complex function.The functional relationship of the mapping between the fields of complex numbers is the subject of study. A complex function uses a complex number as both its independent and dependent variable. The remainder theorem generalizes both the Cauchy's integral theorem and the Cauchy's integral formula. Numerous complex calculations are resolved by the theory of Complex functions and Residue theorem, which has a wide range of applications. This ar

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29

Fomin, Vasiliy I. "About complex operator functions of a complex operator variable." Russian Universities Reports. Mathematics, no. 147 (2024): 325–51. http://dx.doi.org/10.20310/2686-9667-2024-29-147-325-351.

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We consider a family of complex operator functions whose domain and range of values are included in the real Banach algebra of bounded linear complex operators acting in the Banach space of complex vectors over the field of real numbers. It is shown that the study of a function from this family can be reduced to the study of a pair of real operator functions of two real operator variables. The main elementary functions of this family are considered: power function; exponent; trigonometric functions of sine, cosine, tangent, cotangent, secant, cosecant; hyperbolic sine, cosine, tangent, cotange

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30

Sukhov, Alexandre Borisovich. "Discs and boundary uniqueness for psh functions on almost complex manifold." Ufimskii Matematicheskii Zhurnal 10, no. 4 (2018): 129–36. http://dx.doi.org/10.13108/2018-10-4-129.

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31

Yusephus, Decupertino Sumanto, Hariyanto Susilo, and Adilla Jazmeen. "Analysis of the Mean Value Theorem and Rolle's Theorem in Holomorphic Function." International Journal of Mathematics and Computer Research 13, no. 06 (2025): 5316–26. https://doi.org/10.5281/zenodo.15598612.

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The Mean Value Theorem and Rolle’s Theorem are one of the fundamental concepts in real analytical mathematics related to the derivative value of functions. This research examines both theorems on holomorphic functions in the complex plane. Holomorphic functions are also known as analytic functions, which are complex functions of one variable that have derivatives at every point in their domain. The results of the analysis show that there are fundamental differences in the application of the two theorems to holomorphic functions which can be seen in terms of  the separation real and

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32

Vyatkin, S. I. "Complex surface modeling using perturbation functions." Optoelectronics, Instrumentation and Data Processing 43, no. 3 (2007): 226–31. http://dx.doi.org/10.3103/s875669900703003x.

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33

Krantz, Steven G., Karl Fritzsche, and Hans Grauert. "From Holomorphic Functions to Complex Manifolds." American Mathematical Monthly 110, no. 2 (2003): 167. http://dx.doi.org/10.2307/3647794.

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34

Nahlus, Nazih. "Representative Functions on Complex Analytic Groups." American Journal of Mathematics 116, no. 3 (1994): 621. http://dx.doi.org/10.2307/2374994.

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35

Braden, Bart. "Picturing Functions of a Complex Variable." College Mathematics Journal 16, no. 1 (1985): 63. http://dx.doi.org/10.2307/2686634.

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36

Dovbush, P. V. "BLOCH FUNCTIONS ON COMPLEX BANACH MANIFOLDS." Mathematical Proceedings of the Royal Irish Academy 108A, no. 1 (2008): 27–32. http://dx.doi.org/10.1353/mpr.2008.0030.

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37

Mansour, Eman A., Emad A. Kuffi, and Sadiq A. Mehd. "Complex SEE Transform of Bessel’s Functions." Journal of Physics: Conference Series 1999, no. 1 (2021): 012154. http://dx.doi.org/10.1088/1742-6596/1999/1/012154.

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38

Liu, Xiang Yang. "Bloch functions of several complex variables." Pacific Journal of Mathematics 152, no. 2 (1992): 347–63. http://dx.doi.org/10.2140/pjm.1992.152.347.

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39

WADA, Ryoko. "Holomorphic Functions on the Complex Sphere." Tokyo Journal of Mathematics 11, no. 1 (1988): 205–18. http://dx.doi.org/10.3836/tjm/1270134270.

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40

TOCHIKURA, Tatsurokuro. "Structures and functions of complex carbohydrates." Journal of the agricultural chemical society of Japan 64, no. 9 (1990): 1471–74. http://dx.doi.org/10.1271/nogeikagaku1924.64.1471.

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41

Han, Chong-Kyu, and Hye-Seon Kim. "HOLOMORPHIC FUNCTIONS ON ALMOST COMPLEX MANIFOLDS." Journal of the Korean Mathematical Society 49, no. 2 (2012): 379–94. http://dx.doi.org/10.4134/jkms.2012.49.2.379.

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42

Gross, Kenneth I., and Donald St P. Richards. "Hypergeometric functions on complex matrix space." Bulletin of the American Mathematical Society 24, no. 2 (1991): 349–56. http://dx.doi.org/10.1090/s0273-0979-1991-16031-3.

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43

Furusho, Hidekazu, Yasushi Komori, Kohji Matsumoto, and Hirofumi Tsumura. "Desingularization of complex multiple zeta-functions." American Journal of Mathematics 139, no. 1 (2017): 147–73. http://dx.doi.org/10.1353/ajm.2017.0002.

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44

Escassut, Alain, and Eberhard Mayerhofer †. "Rational decompositions of complex meromorphic functions." Complex Variables, Theory and Application: An International Journal 49, no. 14 (2004): 991–96. http://dx.doi.org/10.1080/02781070412331310939.

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45

Kolb, Stephen J., Daniel J. Battle, and Gideon Dreyfuss. "Molecular Functions of the SMN Complex." Journal of Child Neurology 22, no. 8 (2007): 990–94. http://dx.doi.org/10.1177/0883073807305666.

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46

Manninen, Olavi. "Complex environmental exposures and hearing functions." Journal of the Acoustical Society of America 83, S1 (1988): S21. http://dx.doi.org/10.1121/1.2025254.

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47

JIANG, BING LI WEISUN. "OPTIMIZING COMPLEX FUNCTIONS BY CHAOS SEARCH." Cybernetics and Systems 29, no. 4 (1998): 409–19. http://dx.doi.org/10.1080/019697298125678.

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48

Marmi, S. "Critical functions for complex analytic maps." Journal of Physics A: Mathematical and General 23, no. 15 (1990): 3447–74. http://dx.doi.org/10.1088/0305-4470/23/15/019.

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49

Westin, Stephen H., James R. Arvo, and Kenneth E. Torrance. "Predicting reflectance functions from complex surfaces." ACM SIGGRAPH Computer Graphics 26, no. 2 (1992): 255–64. http://dx.doi.org/10.1145/142920.134075.

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50

Pashaei, Ronak, Amir Pishkoo, Mohammad Sadegh Asgari, and Davood Ebrahimi Bagha. "$\alpha$-Differentiable functions in complex plane." Вестник Самарского государственного технического университета. Серия «Физико-математические науки» 24, no. 2 (2020): 379–89. http://dx.doi.org/10.14498/vsgtu1734.

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В комплексной плоскости вводится взвешенная дробная производная порядка $\alpha$. Относительно многозначной функции $ z ^ {1- \alpha} $ получены дробные уравнения Коши-Римана, которые при $ \alpha = 1 $ совпадают с классическими уравнениями Коши-Римана. Для некоторых функций в комплексной плоскости рассмотрены свойства, относящиеся к комплексной взвешенной дробной производной. Обсуждаются два комплексных дифференциальных уравнения специальной формы. Для некоторых значений $\alpha$ приводятся римановы поверхности их решений и сравниваются их графики.

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