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Journal articles on the topic 'Class of functions'

Author: Grafiati

Published: 7 February 2023

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1

Jakubowski, Zbigniew Jerzy, and Krystyna Zyskowska. "On an estimate of a functional in the class of holomorphic univalent functions." Mathematica Bohemica 118, no. 3 (1993): 281–96. http://dx.doi.org/10.21136/mb.1993.125927.

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2

Myerson, G. "First-Class Functions." American Mathematical Monthly 98, no. 3 (March 1991): 237. http://dx.doi.org/10.2307/2325027.

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3

Myerson, G. "First-Class Functions." American Mathematical Monthly 98, no. 3 (March 1991): 237–40. http://dx.doi.org/10.1080/00029890.1991.11995733.

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4

Frasin, B. A., and M. Darus. "On certain analytic univalent functions." International Journal of Mathematics and Mathematical Sciences 25, no. 5 (2001): 305–10. http://dx.doi.org/10.1155/s0161171201004781.

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We consider the class of analytic functionsB(α)to investigate some properties for this class. The angular estimates of functions in the classB(α)are obtained. Finally, we derive some interesting conditions for the class of strongly starlike and strongly convex of orderαin the open unit disk.

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5

Noor, Khalida I., and Sumayya A. Al-Bany. "On Bazilevic functions." International Journal of Mathematics and Mathematical Sciences 10, no. 1 (1987): 79–88. http://dx.doi.org/10.1155/s0161171287000103.

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LetB(β)be the class of Bazilevic functions of typeβ(β>0). A functionf ϵ B(β)if it is analytic in the unit discEandRezf′(z)f1−β(z)gβ(z)>0, wheregis a starlike function. We generalize the classB(β)by takinggto be a function of radius rotation at mostkπ(k≥2). Archlength, difference of coefficient, Hankel determinant and some other problems are solved for this generalized class. Fork=2, we obtain some of these results for the classB(β)of Bazilevic functions of typeβ.

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6

Duke, W., J. Friedlander, and H. Iwaniec. "Class group $L$ -functions." Duke Mathematical Journal 79, no. 1 (July 1995): 1–56. http://dx.doi.org/10.1215/s0012-7094-95-07901-0.

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7

Bakherad, Mojtaba, Hassane Abbas, Bassam Mourad, and Mohammad Sal Moslehian. "Operator P-class functions." Journal of Inequalities and Applications 2014, no. 1 (2014): 451. http://dx.doi.org/10.1186/1029-242x-2014-451.

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8

Arov, D. Z. "Functions of class II." Journal of Soviet Mathematics 31, no. 1 (October 1985): 2645–59. http://dx.doi.org/10.1007/bf02107246.

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9

Singh, Vikramaditya. "On a class of univalent functions." International Journal of Mathematics and Mathematical Sciences 23, no. 12 (2000): 855–57. http://dx.doi.org/10.1155/s0161171200001824.

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We consider the class of univalent functionsf(z)=z+a3z3+a4z4+⋯analytic in the unit disc and satisfying|(z2f′(z)/f2(z))−1|<1, and show that such functions are starlike if they satisfy|(z2f′(z)/f2(z))−1|<(1/2).

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10

Lusztig, G. "On induction of class functions." Representation Theory of the American Mathematical Society 25, no. 13 (May 7, 2021): 412–21. http://dx.doi.org/10.1090/ert/561.

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Let G G be a connected reductive group defined over a finite field F q \mathbf {F}_q and let L L be a Levi subgroup (defined over F q \mathbf {F}_q ) of a parabolic subgroup P P of G G . We define a linear map from class functions on L ( F q ) L(\mathbf {F}_q) to class functions on G ( F q ) G(\mathbf {F}_q) . This map is independent of the choice of P P . We show that for large q q this map coincides with the known cohomological induction (whose definition involves a choice of P P ).

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11

Nunokawa, Mamoru. "A class of multivalent functions." Tsukuba Journal of Mathematics 16, no. 2 (December 1992): 423–28. http://dx.doi.org/10.21099/tkbjm/1496161973.

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12

OBRADOVIĆ, Milutin. "A class of univalent functions." Hokkaido Mathematical Journal 27, no. 2 (February 1998): 329–35. http://dx.doi.org/10.14492/hokmj/1351001289.

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13

Leung, Denny H., and Wee-Kee Tang. "Functions of Baire class one." Fundamenta Mathematicae 179, no. 3 (2003): 225–47. http://dx.doi.org/10.4064/fm179-3-3.

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14

Raji, Wissam. "A Class of Modular Functions." Functiones et Approximatio Commentarii Mathematici 38, no. 2 (September 2008): 227–32. http://dx.doi.org/10.7169/facm/1229696541.

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15

Heurteaux, Yanick. "Weierstrass functions in Zygmund’s class." Proceedings of the American Mathematical Society 133, no. 9 (March 22, 2005): 2711–20. http://dx.doi.org/10.1090/s0002-9939-05-07857-3.

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16

Chang, K. S., G. W. Johnson, and D. L. Skoug. "Functions in the Fresnel class." Proceedings of the American Mathematical Society 100, no. 2 (February 1, 1987): 309. http://dx.doi.org/10.1090/s0002-9939-1987-0884471-6.

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17

Adhikari, Sadhan K., and Lauro Tomio. "Class of Jost-like functions." Physical Review C 35, no. 6 (June 1, 1987): 1991–98. http://dx.doi.org/10.1103/physrevc.35.1991.

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18

Livingston, Albert E. "A Class of Starlike Functions." Rocky Mountain Journal of Mathematics 23, no. 1 (March 1993): 289–307. http://dx.doi.org/10.1216/rmjm/1181072624.

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19

Boichuk, V. S. "A class of entire functions." Ukrainian Mathematical Journal 38, no. 6 (1987): 571–75. http://dx.doi.org/10.1007/bf01056636.

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20

Zakharov, V. K., and T. V. Rodionov. "A class of uniform functions and its relationship with the class of measurable functions." Mathematical Notes 84, no. 5-6 (December 2008): 756–70. http://dx.doi.org/10.1134/s0001434608110205.

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21

Anandam, V., and M. Damlakhi. "A class of functions containing polyharmonic functions in Rn." Annales Polonici Mathematici 82, no. 3 (2003): 241–50. http://dx.doi.org/10.4064/ap82-3-5.

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22

Alperovich, Gershon, and Itzhak Weksler. "A Class of Utility Functions Yielding Linear Demand Functions." American Economist 40, no. 1 (March 1996): 20–23. http://dx.doi.org/10.1177/056943459604000103.

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23

Krzysztof Płotka. "Darboux-like Functions within the Class of Hamel Functions." Real Analysis Exchange 34, no. 1 (2009): 115. http://dx.doi.org/10.14321/realanalexch.34.1.0115.

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24

Ali, Rosihan M., V. Ravichandran, and N. Seenivasagan. "Subordination by convex functions." International Journal of Mathematics and Mathematical Sciences 2006 (2006): 1–6. http://dx.doi.org/10.1155/ijmms/2006/62548.

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For a fixed analytic functiong(z)=z+∑n=2∞gnzndefined on the open unit disk andγ<1, letTg(γ)denote the class of all analytic functionsf(z)=z+∑n=2∞anznsatisfying∑n=2∞|angn|≤1−γ. For functions inTg(γ), a subordination result is derived involving the convolution with a normalized convex function. Our result includes as special cases several earlier works.

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25

Rhodes, Frank, and H. Paul Williams. "Discrete subadditive functions as Gomory functions." Mathematical Proceedings of the Cambridge Philosophical Society 117, no. 3 (May 1995): 559–74. http://dx.doi.org/10.1017/s0305004100073370.

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Our aim, in this paper, is to study a class of functions which occurs in pure integer programming, and to investigate conditions under which discrete subadditive functions belong to that class. The inspiration for the paper was the problem of classifying discrete metrics used in pattern recognition, while the methods of proof of the main theorem are those of pure integer programming.

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26

Salmassi, Mohammad. "Note on the zeros of functions with univalent derivatives." International Journal of Mathematics and Mathematical Sciences 9, no. 1 (1986): 81–88. http://dx.doi.org/10.1155/s0161171286000108.

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LetEdenote the class of functionsf(z)analytic in the unit discD, normalized so thatf(0)=0=f′(0)−1, such that eachf(k)(z),k≥0is univalent inD. In this paper we establish conditions for some functions to belong to classE.

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27

Al-Oboudi, F. M. "-Bazilevic Functions." Abstract and Applied Analysis 2012 (2012): 1–10. http://dx.doi.org/10.1155/2012/383592.

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The aim of this paper is to define and study a class of Bazilevic functions using the generalized Salagean operator. Some properties of this class are investigated: inclusion relation, some convolution properties, coefficient bounds, and other interesting results.

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28

Ibrahim, Rabha W. "Stability of Admissible Functions." International Journal of Mathematics and Mathematical Sciences 2011 (2011): 1–7. http://dx.doi.org/10.1155/2011/342895.

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By using the concept of the weak subordination, we examine the stability (a class of analytic functions in the unit disk is said to be stable if it is closed under weak subordination) for a class of admissible functions in complex Banach spaces. The stability of analytic functions in the following classes is discussed: Bloch class, little Bloch class, hyperbolic little Bloch class, extend Bloch class(Qp), and Hilbert Hardy class(H2).

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29

Noiri, Takashi. "Onθ-precontinuous functions." International Journal of Mathematics and Mathematical Sciences 28, no. 5 (2001): 285–92. http://dx.doi.org/10.1155/s0161171201006500.

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We introduce a new class of functions calledθ-precontinuous functions which is contained in the class of weakly precontinuous (or almost weakly continuous) functions and contains the class of almost precontinuous functions. It is shown that theθ-precontinuous image of ap-closed space is quasiH-closed.

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30

Nikodem, Kazimierz. "On some class of midconvex functions." Annales Polonici Mathematici 50, no. 2 (1989): 145–51. http://dx.doi.org/10.4064/ap-50-2-145-151.

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31

Anbuchelvi, V., and S. Radha. "On generalized Pascu class of functions." Annales Polonici Mathematici 53, no. 2 (1991): 123–30. http://dx.doi.org/10.4064/ap-53-2-123-130.

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32

Sadullaev, Azimbay. "A class of maximal plurisubharmonic functions." Annales Polonici Mathematici 106 (2012): 265–74. http://dx.doi.org/10.4064/ap106-0-21.

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33

Nikoufar, Ismail, and Davuod Saeedi. "Some inequalities for P-class functions." Filomat 34, no. 13 (2020): 4555–66. http://dx.doi.org/10.2298/fil2013555n.

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In this paper, we provide some inequalities for P-class functions and self-adjoint operators on a Hilbert space including an operator version of the Jensen?s inequality and the Hermite-Hadamard?s type inequality. We improve the H?lder-MacCarthy inequality by providing an upper bound. Some refinements of the Jensen type inequality for P-class functions will be of interest.

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34

Tomić, Filip, Stevan Pilipović, and Nenad Teofanov. "On a class of ultradifferentiable functions." Novi Sad Journal of Mathematics 45, no. 1 (July 12, 2015): 125–42. http://dx.doi.org/10.30755/nsjom.dans14.06.

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35

Khoroshchak, V. S., A. Ya Khrystiyanyn, and D. V. Lukivska. "A class of Julia exceptional functions." Carpathian Mathematical Publications 8, no. 1 (June 30, 2016): 172–80. http://dx.doi.org/10.15330/cmp.8.1.172-180.

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The class of $p$-loxodromic functions (meromorphic functions, satisfying the condition $f(qz) = pf(z)$ for some $q \in \mathbb{C}\backslash \{0\}$ and all $z \in \mathbb{C}\backslash \{0\}$) is studied. Each $p$-loxodromic function is Julia exceptional. The representation of these functions as well as their zero and pole distribution are investigated.

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36

Eljamal, E. A., and M. Darus. "Certain class of harmonic multivalent functions." Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki 25, no. 3 (September 2015): 388–96. http://dx.doi.org/10.20537/vm150309.

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37

Choi, Eun-Mi. "SPHERICAL FUNCTIONS ON PROJECTIVE CLASS ALGEBRAS." Bulletin of the Korean Mathematical Society 43, no. 1 (February 1, 2006): 189–212. http://dx.doi.org/10.4134/bkms.2006.43.1.189.

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38

OBRADOVIĆ, Milutin. "A class of univalent functions II." Hokkaido Mathematical Journal 28, no. 3 (February 1999): 557–62. http://dx.doi.org/10.14492/hokmj/1351001237.

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39

Rogers, C. A. "Functions of the First Baire Class." Journal of the London Mathematical Society s2-37, no. 3 (June 1988): 535–44. http://dx.doi.org/10.1112/jlms/s2-37.3.535.

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40

Fukuda, T., and K. Komatsu. "Class number calculation using Siegel functions." LMS Journal of Computation and Mathematics 17, A (2014): 295–302. http://dx.doi.org/10.1112/s146115701400014x.

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AbstractWe propose a fast method of calculating the $\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\leqslant \let \leq =\leqslant \let \ge =\geqslant \let \geq =\geqslant \def \Pr {\mathit {Pr}}\def \Fr {\mathit {Fr}}\def \Rey {\mathit {Re}}p$-part of the class numbers in certain non-cyclotomic $\mathbb{Z}_p$-extensions of an imaginary quadratic field using elliptic units constructed by Siegel functions. We carried out practical calculations for $p=3$ and determined $\lambda $-invariants of such $\mathbb{Z}_3$-extensions which were not known in our previous paper.

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41

Carroy, Raphaël. "Functions of the first Baire class." Bulletin of Symbolic Logic 24, no. 4 (December 2018): 462–64. http://dx.doi.org/10.1017/bsl.2018.83.

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42

Maritz, P. "Almost Baire class one multi-functions." Bulletin of the Australian Mathematical Society 34, no. 2 (October 1986): 297–308. http://dx.doi.org/10.1017/s0004972700010170.

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In this paper we employ quasi-continuous multifunctions and introduce almost Baire class 1 multifunctions in order to generalize a theorem of Kuratowski and also to answer a question posed by him concerning Baire class 1 multifunctions. We also show that certain multifunctions can be decomposed into mutually singular multifunctions.

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43

Smith, Jonathan D. H. "Induced Class Functions are Conditional Expectations." European Journal of Combinatorics 10, no. 3 (May 1989): 293–96. http://dx.doi.org/10.1016/s0195-6698(89)80065-4.

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44

Szabó, V. E. S. "A class of matrix monotone functions." Linear Algebra and its Applications 420, no. 1 (January 2007): 79–85. http://dx.doi.org/10.1016/j.laa.2006.06.027.

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45

Bruinier, Jan Hendrik, Ken Ono, and Andrew V. Sutherland. "Class polynomials for nonholomorphic modular functions." Journal of Number Theory 161 (April 2016): 204–29. http://dx.doi.org/10.1016/j.jnt.2015.07.002.

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46

Owa, S., M. Nunokawa, and H. M. Srivastava. "A certain class of multivalent functions." Applied Mathematics Letters 10, no. 2 (March 1997): 7–10. http://dx.doi.org/10.1016/s0893-9659(97)00002-5.

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47

Sokół, Janusz. "A certain class of starlike functions." Computers & Mathematics with Applications 62, no. 2 (July 2011): 611–19. http://dx.doi.org/10.1016/j.camwa.2011.05.041.

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48

Belna, Charles L., and David A. Redett. "A Residual Class of Holomorphic Functions." Computational Methods and Function Theory 10, no. 1 (February 6, 2010): 207–13. http://dx.doi.org/10.1007/bf03321763.

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49

Shvartsman, P. A. "Traces of functions of Zygmund class." Siberian Mathematical Journal 28, no. 5 (1988): 853–63. http://dx.doi.org/10.1007/bf00969335.

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50

Atok, Zulijanto, Wee-Kee Tang, and Dongsheng Zhao. "Gauges of Baire class one functions." Journal of Mathematical Analysis and Applications 343, no. 2 (July 2008): 866–70. http://dx.doi.org/10.1016/j.jmaa.2008.02.001.

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