# zbMATH — the first resource for mathematics

## Computational Methods and Function Theory

 Short Title: Comput. Methods Funct. Theory Publisher: Springer, Berlin/Heidelberg ISSN: 1617-9447; 2195-3724/e Online: http://link.springer.com/journal/volumesAndIssues/40315http://www.heldermann.de/CMF/cmfcover.htm Comments: Indexed cover-to-cover
 Documents Indexed: 776 Publications (since 2001) References Indexed: 757 Publications with 14,544 References.
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#### Latest Issues

 21, No. 2 (2021) 21, No. 1 (2021) 20, No. 3-4 (2020) 20, No. 2 (2020) 20, No. 1 (2020) 19, No. 4 (2019) 19, No. 3 (2019) 19, No. 2 (2019) 19, No. 1 (2019) 18, No. 4 (2018) 18, No. 3 (2018) 18, No. 2 (2018) 18, No. 1 (2018) 17, No. 4 (2017) 17, No. 3 (2017) 17, No. 2 (2017) 17, No. 1 (2017) 16, No. 4 (2016) 16, No. 3 (2016) 16, No. 2 (2016) 16, No. 1 (2016) 15, No. 4 (2015) 15, No. 3 (2015) 15, No. 2 (2015) 15, No. 1 (2015) 14, No. 4 (2014) 14, No. 2-3 (2014) 14, No. 1 (2014) 13, No. 4 (2013) 13, No. 3 (2013) 13, No. 2 (2013) 13, No. 1 (2013) 12, No. 2 (2012) 12, No. 1 (2012) 11, No. 2 (2011) 11, No. 1 (2011) 10, No. 2 (2010) 10, No. 1 (2010) 9, No. 2 (2009) 9, No. 1 (2009) 8, No. 2 (2008) 8, No. 1 (2008) 7, No. 2 (2007) 7, No. 1 (2007) 6, No. 2 (2006) 6, No. 1 (2006) 5, No. 2 (2005) 5, No. 1 (2005) 4, No. 2 (2004) 4, No. 1 (2004) 3, No. 1-2 (2003) 2, No. 2 (2002) 2, No. 1 (2002) 1, No. 2 (2001) 1, No. 1 (2001)
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#### Authors

 17 Beardon, Alan Frank 13 Langley, James K. 13 Wegert, Elias 11 Andrievskii, Vladimir V. 10 Minda, David 10 Vuorinen, Matti Keijo Kustaa 9 Bergweiler, Walter 9 Bshouty, Daoud H. 9 Lubinsky, Doron S. 9 Pommerenke, Christian 8 Fournier, Richard 8 Sugawa, Toshiyuki 7 Gauthier, Paul M. 7 Liesen, Jörg 7 Wirths, Karl-Joachim 6 Crowdy, Darren Gregory 6 Grahl, Jürgen 6 Lyzzaik, Abdallah 6 Nasser, Mohamed M. S. 6 Ponnusamy, Saminathan 5 Barnard, Roger W. 5 Bell, Steven R. 5 Chuaqui, Martin 5 Fokas, Athanassios S. 5 Khavinson, Dmitry S. 5 Korhonen, Risto 5 Koskela, Pekka 5 Mejía, Diego Alejandro 5 Pritsker, Igor E. 5 Ransford, Thomas J. 5 Ross, William T. jun. 5 Ruscheweyh, Stephan 5 Saff, Edward Barry 5 Sète, Olivier 5 Shoikhet, David 5 Steinmetz, Norbert 4 Blatt, Hans-Peter 4 DeLillo, Thomas K. 4 Duren, Peter Larkin 4 Ebenfelt, Peter 4 Eremenko, Alexandre Émmanuilovich 4 Fujimura, Masayo 4 Gundersen, Gary G. 4 Gürlebeck, Klaus 4 Ibragimov, Zair 4 Laine, Ilpo 4 Luh, Wolfgang 4 Mashreghi, Javad 4 Nestoridis, Vassili 4 Nevo, Shahar 4 Rahman, Qazi Ibadur 4 Semmler, Gunter 4 Short, Ian 4 Solynin, Alexander Yu. 4 Stylianopoulos, Nikos S. 4 Weitsman, Allen 4 Zalcman, Lawrence Allen 3 Avkhadiev, Farit Gabidinovich 3 Banerjee, Abhijit 3 Bénéteau, Catherine 3 Bogatyrev, Andrei Borisovich 3 Bory Reyes, Juan 3 Chang, Jianming 3 Crane, Edward 3 Delanghe, Richard 3 Elcrat, Alan R. 3 Elin, Mark 3 Fang, Mingliang 3 Fenton, Peter C. 3 Fletcher, Alastair N. 3 Gabrielov, Andrei 3 Gorkin, Pamela B. 3 Hästö, Peter A. 3 Hengartner, Walter 3 Ishizaki, Katsuya 3 Kalaj, David 3 Katkova, Olga M. 3 Lahiri, Indrajit 3 Lamprecht, Martin 3 Levenberg, Norman jun. 3 Li, Songxiao 3 Li, Xiaomin 3 Lundberg, Erik 3 Marshall, Jonathan S. 3 Martin, Gaven J. 3 Meyer, Janis 3 Morais, João Pedro 3 Mortini, Raymond 3 Muir, Jerry R. jun. 3 Muir, Stacey 3 Ostrovskiĭ, Iosif Vladimirovich 3 Pedersen, Henrik Laurberg 3 Pfaltzgraff, John A. 3 Porter, R. Michael 3 Qazi, Mohammed A. 3 Reich, Simeon 3 Richards, Trevor 3 Rieppo, Jarkko 3 Rossi, John F. 3 Roth, Oliver ...and 722 more Authors
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#### Fields

 624 Functions of a complex variable (30-XX) 83 Potential theory (31-XX) 62 Approximations and expansions (41-XX) 51 Several complex variables and analytic spaces (32-XX) 47 Operator theory (47-XX) 45 Special functions (33-XX) 45 Ordinary differential equations (34-XX) 36 Functional analysis (46-XX) 33 Harmonic analysis on Euclidean spaces (42-XX) 30 Dynamical systems and ergodic theory (37-XX) 28 Partial differential equations (35-XX) 26 Numerical analysis (65-XX) 25 Number theory (11-XX) 24 Difference and functional equations (39-XX) 21 Real functions (26-XX) 17 Geometry (51-XX) 15 Algebraic geometry (14-XX) 12 Differential geometry (53-XX) 11 Group theory and generalizations (20-XX) 10 Sequences, series, summability (40-XX) 8 General and overarching topics; collections (00-XX) 8 Convex and discrete geometry (52-XX) 8 Manifolds and cell complexes (57-XX) 8 Probability theory and stochastic processes (60-XX) 8 Fluid mechanics (76-XX) 6 Integral transforms, operational calculus (44-XX) 5 History and biography (01-XX) 5 Integral equations (45-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 Measure and integration (28-XX) 3 General topology (54-XX) 3 Astronomy and astrophysics (85-XX) 3 Systems theory; control (93-XX) 2 Field theory and polynomials (12-XX) 2 Commutative algebra (13-XX) 2 Topological groups, Lie groups (22-XX) 2 Optics, electromagnetic theory (78-XX) 2 Quantum theory (81-XX) 2 Operations research, mathematical programming (90-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Nonassociative rings and algebras (17-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Relativity and gravitational theory (83-XX)

#### Citations contained in zbMATH Open

534 Publications have been cited 2,560 times in 2,091 Documents Cited by Year
Complex difference equations of Malmquist type. Zbl 1013.39001
Heittokangas, Janne; Korhonen, Risto; Laine, Ilpo; Rieppo, Jarkko; Tohge, Kazuya
2001
Conformal mappings between canonical multiply connected domains. Zbl 1101.30010
Crowdy, Darren; Marshall, Jonathan
2006
Remarks on the Bohr phenomenon. Zbl 1067.30094
Bénéteau, Catherine; Dahlner, Anders; Khavinson, Dmitry
2004
Clifford analysis: History and perspective. Zbl 1011.30045
Delanghe, Richard
2001
Generalized elliptic integrals. Zbl 1198.33002
Heikkala, Ville; Vamanamurthy, Mavina K.; Vuorinen, Matti
2009
Bloch’s principle. Zbl 1101.30034
Bergweiler, Walter
2006
Computing the Schottky-Klein prime function on the Schottky double of planar domains. Zbl 1148.30023
Crowdy, Darren G.; Marshall, Jonathan S.
2007
Bohr inequality for odd analytic functions. Zbl 1385.30003
Kayumov, Ilgiz R.; Ponnusamy, Saminathan
2017
Riemann-Hilbert analysis for Laguerre polynomials with large negative parameter. Zbl 1035.30027
Kuijlaars, Arno B. J.; McLaughlin, Kenneth T.-R.
2001
Compact differences of composition operators on Bloch and Lipschitz spaces. Zbl 1146.47016
Nieminen, Pekka J.
2007
Curvature properties of planar harmonic mappings. Zbl 1051.30025
Chuaqui, Martin; Duren, Peter; Osgood, Brad O.
2004
Landau’s theorem for planar harmonic mappings. Zbl 1060.30033
Dorff, Michael; Nowak, Maria
2004
A boundary integral equation for conformal mapping of bounded multiply connected regions. Zbl 1159.30007
Nasser, Mohamed M. S.
2009
A modification of the Roper-Suffridge extension operator. Zbl 1086.32014
Muir, Jerry R. jun.
2005
Mapping properties of hypergeometric functions and convolutions of starlike or convex functions of order $$\alpha$$. Zbl 1053.30006
Küstner, Reinhold
2002
On power series having sections with only real zeros. Zbl 1058.30009
Katkova, Olga M.; Lobova, Tetyana; Vishnyakova, Anna M.
2003
Remarks on complex difference equations. Zbl 1093.39018
Laine, Ilpo; Rieppo, Jarkko; Silvennoinen, Heli
2005
Iteration of quasiregular mappings. Zbl 1243.30057
Bergweiler, Walter
2010
Asymptotic behaviour of the conformal representation of a Jordan domain with a small hole in Schauder spaces. Zbl 1026.30009
Lanza de Cristoforis, Massimo
2002
Geometric properties of harmonic shears. Zbl 1056.30023
Greiner, Paul
2004
Universality limits involving orthogonal polynomials on the unit circle. Zbl 1214.42045
Levin, Eli; Lubinsky, Doron S.
2007
Schwarz-Christoffel mapping of bounded, multiply connected domains. Zbl 1125.30003
DeLillo, Thomas K.
2006
Sharp power mean inequalities for the generalized elliptic integral of the first kind. Zbl 1437.33018
Wang, Miao-Kun; He, Zai-Yin; Chu, Yu-Ming
2020
Continued fractions, discrete groups and complex dynamics. Zbl 1012.40003
Beardon, Alan F.
2001
Shearing process and an example of a bounded support function in $$S^0(\mathbb B^2)$$. Zbl 1322.32004
Bracci, Filippo
2015
Completely monotonic gamma ratio and infinitely divisible H-function of Fox. Zbl 1334.33008
Karp, D. B.; Prilepkina, E. G.
2016
Computation of logarithmic capacity. Zbl 1206.65128
Ransford, Thomas
2010
On entire solutions of some differential-difference equations. Zbl 1314.39022
Liu, Kai; Yang, Lianzhong
2013
Schwarz-Pick inequalities for the Schur-Agler class on the polydisk and unit ball. Zbl 1157.30019
Anderson, J. Milne; Dritschel, Michael A.; Rovnyak, James
2008
A difference Picard theorem for meromorphic functions of several variables. Zbl 1242.32008
Korhonen, Risto
2012
A uniqueness polynomial generating a unique range set and vice versa. Zbl 1283.30064
Banerjee, Abhijit; Lahiri, Indrajit
2012
Weighted composition operators on BMOA. Zbl 1163.47018
Laitila, Jussi
2009
Computation of multiply connected Schwarz-Christoffel maps for exterior domains. Zbl 1125.30004
DeLillo, Thomas K.; Driscoll, Tobin A.; Elcrat, Alan R.; Pfaltzgraff, John A.
2006
Zero distributions for polynomials orthogonal with weights over certain planar regions. Zbl 1098.30009
Miña-Díaz, Erwin; Saff, Edward B.; Stylianopoulos, Nikos S.
2005
The theorems of Stieltjes and Favard. Zbl 1232.42023
Beardon, Alan F.
2011
Asymptotic behavior of Nikolskii constants for polynomials on the unit circle. Zbl 1327.42030
Levin, Eli; Lubinsky, Doron S.
2015
The metric dimension of metric spaces. Zbl 1282.51004
Bau, Sheng; Beardon, Alan F.
2013
Normal families of meromorphic functions whose derivatives omit a function. Zbl 1046.30014
Pamh, Xuecheng; Yang, Degui; Zalcman, Lawrence
2002
On the zeros of $$af(f^{(k)})^n-1$$ for $$n\geq 2$$. Zbl 1056.30027
Alotaibi, Abdullah
2004
Generalized iteration. Zbl 1064.30018
Brück, Rainer; Büger, Matthias
2003
Derivatives of meromorphic functions with multiple zeros and rational functions. Zbl 1149.30023
Pang, Xuecheng; Nevo, Shahar; Zalcman, Lawrence
2008
The radius of $$\alpha$$-convexity of normalized Bessel functions of the first kind. Zbl 1334.33018
Baricz, Árpád; Orhan, Halit; Szász, Róbert
2016
Superposition operators on Bloch-type spaces. Zbl 1153.47049
Xu, Wen
2007
The isoperimetric inequality via approximation theory and free boundary problems. Zbl 1193.30001
Bénéteau, Catherine; Khavinson, Dmitry
2006
Special polynomials associated with rational solutions of the Painlevé equations and applications to soliton equations. Zbl 1112.33015
Clarkson, Peter A.
2006
Landen-type inequality for Bessel functions. Zbl 1104.33002
Baricz, Árpád
2005
Riemann-Hilbert problems for multiply connected domains and circular slit maps. Zbl 1267.30018
2011
Zeros of solutions of a functional equation. Zbl 1087.39022
Bergweiler, Walter; Hayman, Walter K.
2003
Derivation-invariant subspaces of $$C^{\infty}$$. Zbl 1166.47011
Aleman, Alexandru; Korenblum, Boris
2008
Bernstein-Walsh theory associated to convex bodies and applications to multivariate approximation theory. Zbl 1454.32023
Bos, L.; Levenberg, N.
2018
Research questions on meromorphic functions and complex differential equations. Zbl 1369.30029
Gundersen, Gary G.
2017
Nikol’skii inequality between the uniform norm and $$L_q$$-norm with ultraspherical weight of algebraic polynomials on an interval. Zbl 1329.41012
Arestov, Vitalii; Deikalova, Marina
2015
Solutions of $$f''+A (z) f=0$$ in the unit disc having Blaschke sequences as the zeros. Zbl 1099.34076
Heittokangas, Janne
2005
A non-linear extremal problem on the Hardy space. Zbl 1194.47002
Garcia, Stephan Ramon; Ross, William T.
2009
The global parametrix in the Riemann-Hilbert steepest descent analysis for orthogonal polynomials. Zbl 1245.34086
Kuijlaars, Arno B. J.; Mo, Man Yue
2011
The Schottky-Klein prime function on the Schottky double of planar domains. Zbl 1217.30005
Crowdy, Darren
2010
Efficient calculation of Schwarz-Christoffel transformations for multiply connected domains using Laurent series. Zbl 1283.30012
Delillo, Thomas K.; Elcrat, Alan R.; Kropf, Everett H.; Pfaltzgraff, John A.
2013
Some Rarita-Schwinger type operators. Zbl 1309.30041
Dunkl, Charles F.; Li, Junxia; Ryan, John; van Lancker, Peter
2013
The Wronski map and Grassmannians of real codimension 2 subspaces. Zbl 1052.14057
Eremenko, Alexandre; Gabrielov, Andrei
2001
On perfect Nikishin systems. Zbl 1065.42020
Fidalgo Prieto, Ulises; López Lagomasino, Guillermo
2002
Inscribed ellipses and Blaschke products. Zbl 1291.30040
Fujimura, Masayo
2013
Hölder exponents of Green’s functions of Cantor sets. Zbl 1151.31003
Ransford, Thomas; Rostand, Jérémie
2008
Conformal welding for finitely connected regions. Zbl 1252.30002
Marshall, Donald E.
2011
A proof of Yamashita’s conjecture on area integral. Zbl 1283.30031
Obradović, Milutin; Ponnusamy, Saminathan; Wirths, Karl-Joachim
2013
Description of inverse polynomial images which consist of two Jordan arc with the help of Jacobi’s elliptic functions. Zbl 1157.30300
Peherstorfer, Franz; Schiefermayr, Klaus
2004
High energy eigenfunctions of one-dimensional Schrödinger operators with polynomial potentials. Zbl 1156.34072
Eremenko, Alexandre; Gabrielov, Andrei; Shapiro, Boris
2008
The refined metric dimension with applications. Zbl 1202.30066
Kats, Boris A.
2007
Conjugacy classification of quaternionic Möbius transformations. Zbl 1158.15014
Parker, John R.; Short, Ian
2009
The visual angle metric and Möbius transformations. Zbl 1307.30082
Klén, Riku; Lindén, Henri; Vuorinen, Matti; Wang, Gendi
2014
Meromorphic functions sharing three values with their difference operators. Zbl 1405.30030
Lü, Feng; Lü, Weiran
2017
Bohr’s radius for polynomials in one complex variable. Zbl 1093.30002
2005
Conformal mappings to multiply connected polycircular arc domains. Zbl 1243.30008
Crowdy, Darren G.; Fokas, Athanassios S.; Green, Christopher C.
2011
Numerical computation of surface conformal mappings. Zbl 1238.53023
Gu, Xianfeng David; Zeng, Wei; Luo, Feng; Yau, Shing-Tung
2011
Power bounded composition operators. Zbl 1252.47029
Wolf, Elke
2012
Conjugate harmonic functions in Euclidean space: a spherical approach. Zbl 1105.46022
Brackx, Fred; De Schepper, Hennie
2006
Approximation of and by the Riemann zeta-function. Zbl 1284.11122
Gauthier, Paul M.
2010
Cyclicity in reproducing kernel Hilbert spaces of analytic functions. Zbl 1318.47012
Fricain, Emmanuel; Mashreghi, Javad; Seco, Daniel
2014
Matrix representations of a special polynomial sequence in arbitrary dimension. Zbl 1272.30069
Cação, Isabel; Falcão, Maria Irene; Malonek, Helmuth R.
2012
On a result of Chuang related to Hayman’s alternative. Zbl 1030.30026
Hinchliffe, James D.
2002
Conformality of the Apollonian metric. Zbl 1055.30039
Ibragimov, Zair
2003
Composition of involutive power series, and reversible series. Zbl 1232.20045
O’Farrell, Anthony G.
2008
On homogeneous polynomial solutions of the Moisil-Théodoresco system in $$\mathbb R^{3}$$. Zbl 1180.30053
Delanghe, Richard
2009
Sobolev homeomorphisms and Brennan’s conjecture. Zbl 1307.30010
Gol’dshtein, V.; Ukhlov, A.
2014
Perturbing rational harmonic functions by poles. Zbl 1311.31002
Sète, Olivier; Luce, Robert; Liesen, Jörg
2015
Slope problem for trajectories of holomorphic semigroups in the unit disk. Zbl 1316.30026
Contreras, Manuel D.; Díaz-Madrigal, Santiago; Gumenyuk, Pavel
2015
Fast and accurate computation of the logarithmic capacity of compact sets. Zbl 1381.65026
Liesen, Jörg; Sète, Olivier; Nasser, Mohamed M. S.
2017
On the fourth coefficient of functions in the Carathéodory class. Zbl 1395.30019
Kwon, Oh Sang; Lecko, Adam; Sim, Young Jae
2018
Sierpiński curve Julia sets of rational maps. Zbl 1113.37027
Steinmetz, Norbert
2006
Boundary interpolation with Blaschke products of minimal degree. Zbl 1136.30010
Semmler, Gunter; Wegert, Elias
2006
On the direct Cauchy theorem in Widom domains: positive and negative examples. Zbl 1246.30084
Yuditskii, Peter
2011
Note on $$p$$-harmonic measure. Zbl 1161.35406
Lewis, John L.
2006
Sieve-type lower bounds for the Mahler measure of polynomials on subarcs. Zbl 1242.11020
Erdélyi, Tamás
2011
Fast computation of the circular map. Zbl 1318.30013
Nasser, Mohamed M. S.
2015
A Komatu-Loewner equation for multiple slits. Zbl 1316.30007
Böhm, Christoph; Lauf, Wolfgang
2014
A note on the functional equation $$f^{n}+g^{n}+h^{n}$$=1 and some complex differential equations. Zbl 1038.30016
Ishizaki, Katsuya
2002
Fractional iteration and functional equations for functions analytic in the unit disk. Zbl 1062.30026
Elin, Mark; Goryainov, Victor; Reich, Simeon; Shoikhet, David
2002
The Apollonian metric: quasi-isotropy and Seittenranta’s metric. Zbl 1073.30036
Hästö, Peter A.
2004
On the growth of analytic functions in the class $${\mathcal {U}}(\lambda)$$. Zbl 1380.30015
Vasudevarao, A.; Yanagihara, H.
2013
Schwarzian derivatives and uniform local univalence. Zbl 1156.30019
Chuaqui, Martin; Duren, Peter; Osgood, Brad
2008
Hyperbolic orbifolds of minimal volume. Zbl 1307.57001
Kellerhals, Ruth
2014
Solutions of second order complex differential equation having certain pre-given zeros. Zbl 1466.34077
Ye, Fangqin
2021
Sharp power mean inequalities for the generalized elliptic integral of the first kind. Zbl 1437.33018
Wang, Miao-Kun; He, Zai-Yin; Chu, Yu-Ming
2020
Boundary behaviour of some conformal invariants on planar domains. Zbl 1442.30045
Sarkar, Amar Deep; Verma, Kaushal
2020
Bohr type inequalities for functions with a multiple zero at the origin. Zbl 1461.30004
Ponnusamy, S.; Wirths, K.-J.
2020
Uniqueness of meromorphic functions concerning their shifts and derivatives. Zbl 1437.30013
Qi, Xiaoguang; Yang, Lianzhong
2020
Meromorphic solutions of certain types of non-linear differential equations. Zbl 07210836
Liu, Huifang; Mao, Zhiqiang
2020
Numerical conformal mapping with rational functions. Zbl 1461.30031
Trefethen, Lloyd N.
2020
Normal families of Möbius maps. Zbl 07311207
Beardon, A. F.; Minda, D.; Short, I.
2020
Conformal invariants in simply connected domains. Zbl 1459.65035
Nasser, Mohamed M. S.; Vuorinen, Matti
2020
Entire solutions of certain type of non-linear difference equations. Zbl 1415.39012
Chen, Min-Feng; Gao, Zong-Sheng; Zhang, Ji-Long
2019
Torsional rigidity and Bergman analytic content of simply connected regions. Zbl 1419.30022
Fleeman, Matthew; Simanek, Brian
2019
Bohr phenomenon for locally univalent functions and logarithmic power series. Zbl 1435.30009
2019
On the multipliers at fixed points of quadratic self-maps of the projective plane with an invariant line. Zbl 1434.37027
2019
Hornich operations on functions of bounded boundary rotations and order $$\alpha$$. Zbl 1427.30028
Ponnusamy, Saminathan; Sahoo, Swadesh Kumar; Sugawa, Toshiyuki
2019
Transcendental singularities for a meromorphic function with logarithmic derivative of finite lower order. Zbl 1432.30024
Langley, J. K.
2019
On the difference of coefficients of Bazilevič functions. Zbl 1435.30043
Cho, Nak Eun; Sim, Young Jae; Thomas, Derek K.
2019
On degeneracy of three meromorphic mappings from complete Kähler manifolds into projective spaces. Zbl 1427.32012
Nguyen, Thi Nhung; Pham, Duc Thoan
2019
Fourier series of circle embeddings. Zbl 1418.31002
Kovalev, Leonid V.; Yang, Xuerui
2019
The starlikeness of Cauchy transform on square. Zbl 1418.30035
Dong, Xin-Han; Wang, Ye; Zhang, Peng-Fei
2019
Computation of Chebyshev polynomials for union of intervals. Zbl 1436.30004
Foucart, Simon; Lasserre, Jean Bernard
2019
Weighted composition operators on weighted Hardy spaces. Zbl 07116053
2019
About a non-standard interpolation problem. Zbl 1419.32002
Alpay, Daniel; Yger, Alain
2019
The Ptolemy-Alhazen problem and spherical mirror reflection. Zbl 1419.30005
Fujimura, Masayo; Hariri, Parisa; Mocanu, Marcelina; Vuorinen, Matti
2019
Entire and meromorphic solutions of the functional equation $$f^n+g^n+h^n=1$$ and differential equations. Zbl 1419.30019
Ishizaki, Katsuya; Kimura, Naofumi
2019
Computing polynomial conformal models for low-degree Blaschke products. Zbl 1419.30035
Richards, Trevor; Younsi, Malik
2019
Three approaches to detecting discrete integrability. Zbl 1423.30024
Halburd, Rod; Korhonen, Risto
2019
Bernstein-Walsh theory associated to convex bodies and applications to multivariate approximation theory. Zbl 1454.32023
Bos, L.; Levenberg, N.
2018
On the fourth coefficient of functions in the Carathéodory class. Zbl 1395.30019
Kwon, Oh Sang; Lecko, Adam; Sim, Young Jae
2018
Uniqueness of meromorphic functions concerning their differences and solutions of difference Painlevé equations. Zbl 1403.39013
Qi, Xiaoguang; Li, Nan; Yang, Lianzhong
2018
Analytic semigroups of holomorphic mappings and composition operators. Zbl 1393.37091
Elin, Mark; Shoikhet, David; Tarkhanov, Nikolai
2018
On the failure of Bombieri’s conjecture for univalent functions. Zbl 1408.30003
Efraimidis, Iason
2018
A Gromov hyperbolic metric vs the hyperbolic and other related metrics. Zbl 1402.30039
Mohapatra, Manas Ranjan; Sahoo, Swadesh Kumar
2018
On uniqueness of meromorphic functions and their difference operators with partially shared values. Zbl 1401.30027
Chen, Shengjiang
2018
Tightness results for infinite-slit limits of the chordal Loewner equation. Zbl 1390.60303
del&nbsp;Monaco, Andrea; Hotta, Ikkei; Schleißinger, Sebastian
2018
Determining bounds on the values of parameters for a function $$f^{(m,a)}(z) =\sum _{k=0}^\infty \frac{z^k}{a^{k^2}}(k!)^{m}, {m} \in (0,1),$$ to belong to the Laguerre-Pólya class. Zbl 1392.30011
Bohdanov, Anton
2018
Radii problems for normalized Bessel functions of first kind. Zbl 1387.33007
Bohra, Nisha; Ravichandran, V.
2018
Conformal mapping of rectangular heptagons. II. Zbl 1395.30008
Bogatyrev, A. B.; Grigor&rsquo;ev, O. A.
2018
On meromorphic solutions of non-linear difference equations. Zbl 1401.30032
Zhang, Ran-Ran; Huang, Zhi-Bo
2018
The maximum number of zeros of $$r(z) - \overline{z}$$ revisited. Zbl 1401.31004
Liesen, Jörg; Zur, Jan
2018
Complex orthogonal polynomials and numerical quadrature via hyponormality. Zbl 1400.44008
Kimsey, David P.; Putinar, Mihai
2018
How constant shifts affect the zeros of certain rational harmonic functions. Zbl 1404.31003
Liesen, Jörg; Zur, Jan
2018
Weakly quasisymmetric maps and uniform spaces. Zbl 1404.30033
Li, Yaxiang; Vuorinen, Matti; Zhou, Qingshan
2018
Logarithms and exponentials in the matrix algebra $${\mathcal M}_2(A)$$. Zbl 1412.30145
Mortini, Raymond; Rupp, Rudolf
2018
Shimizu’s lemma for quaternionic hyperbolic space. Zbl 06861520
Cao, Wensheng; Parker, John R.
2018
On certain families of analytic functions in the Hornich space. Zbl 1404.30011
Ali, Md Firoz; Vasudevarao, A.
2018
Comparison between a Gromov hyperbolic metric and the hyperbolic metric. Zbl 1404.30048
Zhang, Xiaohui
2018
Root sets of polynomials and power series with finite choices of coefficients. Zbl 1388.30006
Baker, Simon; Yu, Han
2018
Brück conjecture and linear differential polynomials. Zbl 1410.30019
Lahiri, Indrajit; Das, Shubhashish
2018
Meromorphic functions that share four or five pairs of values. Zbl 1407.30011
Gundersen, Gary G.; Steinmetz, Norbert; Tohge, Kazuya
2018
On some Riesz and Carleman type inequalities for harmonic functions in the unit disk. Zbl 1407.31001
Kalaj, David; Bajrami, Elver
2018
Bohr inequality for odd analytic functions. Zbl 1385.30003
Kayumov, Ilgiz R.; Ponnusamy, Saminathan
2017
Research questions on meromorphic functions and complex differential equations. Zbl 1369.30029
Gundersen, Gary G.
2017
Meromorphic functions sharing three values with their difference operators. Zbl 1405.30030
Lü, Feng; Lü, Weiran
2017
Fast and accurate computation of the logarithmic capacity of compact sets. Zbl 1381.65026
Liesen, Jörg; Sète, Olivier; Nasser, Mohamed M. S.
2017
A note on successive coefficients of convex functions. Zbl 1365.30010
Li, Ming; Sugawa, Toshiyuki
2017
Escaping endpoints explode. Zbl 1381.37051
2017
Univalency of convolutions of univalent harmonic right half-plane mappings. Zbl 1388.31003
Liu, ZhiHong; Ponnusamy, Saminathan
2017
The Bergman analytic content of planar domains. Zbl 1384.30010
Fleeman, Matthew; Lundberg, Erik
2017
On the characterisations of a new class of strong uniqueness polynomials generating unique range sets. Zbl 1364.30035
Banerjee, Abhijit; Mallick, Sanjay
2017
Properties and examples of Faber-Walsh polynomials. Zbl 1362.30004
Sète, Olivier; Liesen, Jörg
2017
A new characterization of differences of weighted composition operators on weighted-type spaces. Zbl 1432.30042
Hu, Qinghua; Li, Songxiao; Shi, Yecheng
2017
Some new facts concerning the delta neutral case of Fox’s $$H$$ function. Zbl 1365.33013
Karp, D. B.; Prilepkina, Elena G.
2017
Angular derivatives for holomorphic self-maps of the disk. Zbl 1393.30040
Becker, Jochen; Pommerenke, Christian
2017
Convergence of row sequences of simultaneous Padé-orthogonal approximants. Zbl 1379.30022
Bosuwan, N.
2017
Blaschke products and circumscribed conics. Zbl 1394.30045
Fujimura, Masayo
2017
Frequently hypercyclic Taylor shifts. Zbl 1372.30061
Thelen, Maike
2017
The spectral analysis of a nuclear resolvent operator associated with a second order dissipative differential operator. Zbl 1380.47028
Uğurlu, Ekin; Bairamov, Elgiz
2017
Some results on the rational Bernstein-Markov property in the complex plane. Zbl 1379.41009
Piazzon, Federico
2017
Second main theorems for meromorphic mappings with moving hypersurfaces and a uniqueness problem. Zbl 1388.32010
Si, Duc Quang; Do, Phuong An
2017
Birkhoff-James orthogonality and the zeros of an analytic function. Zbl 1380.30008
Cheng, Raymond; Mashreghi, Javad; Ross, William T.
2017
Approximation of functions by complex genuine Pólya-Durrmeyer operators. Zbl 1372.30030
Gupta, Vijay; Malik, Neha
2017
A new lower bound for the maximal valence of harmonic polynomials. Zbl 1362.30005
Lee, Seung-Yeop; Saez, Andres
2017
Approximation with rational interpolants in $$A^{-\infty}(D)$$ for Dini domains. Zbl 1386.30036
Gustafsson, Anders
2017
Zeros of sections of power series: deterministic and random. Zbl 1388.30002
Fernández, José L.
2017
Quotients of hyperbolic metrics. Zbl 1467.30029
Minda, David
2017
Criteria for bounded valence of harmonic mappings. Zbl 1393.31001
Huusko, Juha-Matti; Martín, María J.
2017
A note on the Kirwan’s conjecture. Zbl 1390.30023
Leung, Yuk-J.
2017
On Lappan’s five-point theorem. Zbl 1370.30018
Van Tan, Tran; Van Thin, Nguyen
2017
On the $$\phi$$-hyperderivative of the $$\psi$$-Cauchy-type integral in Clifford analysis. Zbl 1364.30053
Abreu Blaya, Ricardo; Bory Reyes, Juan; Guzmán Adán, Alí; Kähler, Uwe
2017
Sufficient conditions for first-order differential operators to be associated with a $$q$$-metamonogenic operator in a Clifford type algebra. Zbl 1368.35043
Ariza García, Eusebio; Di Teodoro, Antonio; Sapiain, María; Vargas, Franklin
2017
On the lower spherical order for locally univalent meromorphic functions. Zbl 1388.30032
Arango, Juan; Arbeláez, Hugo; Mejía, Diego
2017
Completely monotonic gamma ratio and infinitely divisible H-function of Fox. Zbl 1334.33008
Karp, D. B.; Prilepkina, E. G.
2016
The radius of $$\alpha$$-convexity of normalized Bessel functions of the first kind. Zbl 1334.33018
Baricz, Árpád; Orhan, Halit; Szász, Róbert
2016
Trajectories of quadratic differentials for Jacobi polynomials with complex parameters. Zbl 1347.33023
Martínez-Finkelshtein, Andrei; Martínez-González, Pedro; Thabet, Faouzi
2016
Jacobi flow on SMP matrices and Killip-Simon problem on two disjoint intervals. Zbl 1372.47041
Eichinger, B.; Puchhammer, F.; Yuditskii, P.
2016
Concrete examples of $$\mathcal{H}(b)$$ spaces. Zbl 1346.30021
Fricain, Emmanuel; Hartmann, Andreas; Ross, William T.
2016
Numerical computation of the conformal map onto lemniscatic domains. Zbl 1361.30014
Nasser, Mohamed M. S.; Liesen, Jörg; Sète, Olivier
2016
A problem of Bombieri on univalent functions. Zbl 1361.30033
Aharonov, D.; Bshouty, D.
2016
Evolution of smooth shapes and integrable systems. Zbl 1342.30003
Markina, Irina; Vasil&rsquo;ev, Alexander
2016
Loewner chain associated with the modified Roper-Suffridge extension operator. Zbl 1339.32006
Zhang, Xiaofei; Feng, Shuxia; Li, Yongjie
2016
Chebyshev polynomials on generalized Julia sets. Zbl 1355.37067
Alpan, Gökalp
2016
Conformal equivalence of analytic functions on compact sets. Zbl 1361.30012
Richards, Trevor
2016
Locally univalent functions and the Bloch and Dirichlet norm. Zbl 1343.30030
Becker, Jochen; Pommerenke, Christian
2016
Some remarks on the visual angle metric. Zbl 1355.30019
Hariri, Parisa; Vuorinen, Matti; Wang, Gendi
2016
A cubic Hamiltonian system with meromorphic solutions. Zbl 1345.34146
Kecker, Thomas
2016
Generalized Hurwitz matrices, generalized Euclidean algorithm, and forbidden sectors of the complex plane. Zbl 1347.26033
Holtz, Olga; Khrushchev, Sergey; Kushel, Olga
2016
Growth estimates for the numerical range of holomorphic mappings and applications. Zbl 1367.47066
Bracci, Filippo; Levenshtein, Marina; Reich, Simeon; Shoikhet, David
2016
On the minimum modulus of analytic functions of moderate growth in the unit disc. Zbl 1338.30048
Chyzhykov, I.; Kravets, M.
2016
Figure eight geodesics on 2-orbifolds. Zbl 1341.57019
Suzzi Valli, Robert
2016
Asymptotic distribution of zeros of a certain class of hypergeometric polynomials. Zbl 1339.33009
2016
...and 434 more Documents
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#### Cited by 1,925 Authors

 66 Ponnusamy, Saminathan 27 Vuorinen, Matti Keijo Kustaa 24 Nasser, Mohamed M. S. 20 Crowdy, Darren Gregory 19 Chen, Zongxuan 17 Langley, James K. 17 Xu, Hongyan 15 Chu, Yuming 15 Fletcher, Alastair N. 15 Hamada, Hidetaka 15 Kohr, Gabriela 14 Khavinson, Dmitry S. 14 Liu, Mingsheng 14 Musolino, Paolo 13 Bergweiler, Walter 13 Kayumov, Il’giz Rifatovich 13 Sahoo, Swadesh Kumar 12 Baricz, Árpád 12 Nicks, Daniel A. 12 Rasila, Antti 12 Wang, Xiantao 12 Wegert, Elias 12 Wirths, Karl-Joachim 11 Karp, Dmitriĭ Borisovich 11 López Lagomasino, Guillermo Tomás 11 Lubinsky, Doron S. 11 Morais, João Pedro 11 Murid, Ali Hassan Mohamed 11 Sugawa, Toshiyuki 10 Banerjee, Abhijit 10 Bell, Steven R. 10 Fournier, Richard 10 Kuijlaars, Arno B. J. 10 Schiefermayr, Klaus 10 Shoikhet, David 10 Sommen, Franciscus 10 Yang, Pai 10 Yuan, Wenjun 9 Ali, Rosihan Mohamed 9 Betsakos, Dimitrios 9 Bracci, Filippo 9 DeLillo, Thomas K. 9 Driver, Kathy A. 9 Eelbode, David 9 Eremenko, Alexandre Émmanuilovich 9 Fang, Mingliang 9 Gauthier, Paul M. 9 Hu, Peichu 9 Render, Hermann 9 Short, Ian 9 Stylianopoulos, Nikos S. 9 Wong, Roderick Sue-Chuen 9 Younsi, Malik 8 Abuzyarova, Natal’ya Fairbakhovna 8 Andrievskii, Vladimir V. 8 Beardon, Alan Frank 8 Cação, Isabel 8 Elin, Mark 8 Ganzburg, Michael Iosifovich 8 Gol’dshtein, Vladimir Mikhailovich 8 Gorkin, Pamela B. 8 Grahl, Jürgen 8 Kostov, Vladimir Petrov 8 Lundberg, Erik 8 Nestoridis, Vassili 8 Porter, R. Michael 8 Prokhorov, Dmitriĭ Vladimirovich 8 Ransford, Thomas J. 8 Sangawi, Ali W. K. 8 Sète, Olivier 8 Simanek, Brian Z. 8 Ukhlov, Alexander Dadar-Oolovich 8 Yang, Lianzhong 8 Zhang, Xiaohui 7 Abu-Muhanna, Yusuf 7 Bénéteau, Catherine 7 Białas-Cież, Leokadia 7 Blatt, Hans-Peter 7 Bosuwan, Nattapong 7 Dalla Riva, Matteo 7 Graham, Ian R. 7 Ibragimov, Zair 7 Jordaan, Kerstin 7 Kalaj, David 7 Klén, Riku 7 Liesen, Jörg 7 Liu, Yang 7 Martínez-Finkelshtein, Andrei 7 Mityushev, Vladimir V. 7 Muir, Jerry R. jun. 7 Rättyä, Jouni 7 Saff, Edward Barry 7 Seco, Daniel 7 Vasudevarao, Allu 7 Vishnyakova, Anna M. 7 Wang, Miaokun 7 Yuditskii, Peter Meerovich 6 Aktaş, İbrahim 6 Ali, Md Firoz 6 Alpan, Gökalp ...and 1,825 more Authors
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#### Cited in 346 Journals

 201 Computational Methods and Function Theory 176 Journal of Mathematical Analysis and Applications 62 Complex Variables and Elliptic Equations 56 Journal of Approximation Theory 55 Proceedings of the American Mathematical Society 41 Journal d’Analyse Mathématique 36 Complex Analysis and Operator Theory 35 Constructive Approximation 35 Analysis and Mathematical Physics 32 Advances in Applied Clifford Algebras 32 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 30 Advances in Mathematics 29 Results in Mathematics 25 Abstract and Applied Analysis 23 Applied Mathematics and Computation 22 Transactions of the American Mathematical Society 22 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 21 Mathematical Methods in the Applied Sciences 21 Advances in Difference Equations 20 Mathematische Nachrichten 18 Rocky Mountain Journal of Mathematics 18 Journal of Computational and Applied Mathematics 18 Monatshefte für Mathematik 17 Conformal Geometry and Dynamics 16 The Journal of Geometric Analysis 16 Journal of Mathematical Sciences (New York) 16 Journal of Function Spaces 14 Bulletin of the Australian Mathematical Society 14 Potential Analysis 14 Acta Mathematica Sinica. English Series 13 Annales Academiae Scientiarum Fennicae. Mathematica 13 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 12 Integral Equations and Operator Theory 12 Journal of Functional Analysis 12 Mathematische Zeitschrift 12 Bulletin of the Korean Mathematical Society 12 Journal of Inequalities and Applications 12 Mediterranean Journal of Mathematics 11 Journal of Mathematical Physics 11 Archiv der Mathematik 11 Linear Algebra and its Applications 11 Comptes Rendus. Mathématique. Académie des Sciences, Paris 11 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 10 The Ramanujan Journal 10 Lobachevskii Journal of Mathematics 9 Journal of the Australian Mathematical Society 9 Science China. Mathematics 8 Mathematical Proceedings of the Cambridge Philosophical Society 8 Illinois Journal of Mathematics 8 Proceedings of the Edinburgh Mathematical Society. Series II 8 Chinese Annals of Mathematics. Series B 8 Indagationes Mathematicae. New Series 8 Journal of Classical Analysis 7 Communications in Mathematical Physics 7 Israel Journal of Mathematics 7 Mathematical Notes 7 Annali di Matematica Pura ed Applicata. Serie Quarta 7 Duke Mathematical Journal 7 International Journal of Mathematics and Mathematical Sciences 7 Proceedings of the Japan Academy. Series A 7 Studies in Applied Mathematics 7 Ergodic Theory and Dynamical Systems 7 Journal of Scientific Computing 7 International Journal of Mathematics 7 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 7 Revista Matemática Complutense 7 Discrete Dynamics in Nature and Society 7 Complex Analysis and its Synergies 6 Indian Journal of Pure & Applied Mathematics 6 Journal of Fluid Mechanics 6 Ukrainian Mathematical Journal 6 Annales Polonici Mathematici 6 Bulletin of the Iranian Mathematical Society 6 Science in China. Series A 6 Bulletin des Sciences Mathématiques 6 Integral Transforms and Special Functions 6 Sbornik: Mathematics 6 Journal of Mathematical Inequalities 5 Computers & Mathematics with Applications 5 Mathematics of Computation 5 Collectanea Mathematica 5 Geometriae Dedicata 5 Journal of Differential Equations 5 Journal of the Korean Mathematical Society 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Quaestiones Mathematicae 5 Physica D 5 Geometric and Functional Analysis. GAFA 5 Turkish Journal of Mathematics 5 Journal of Difference Equations and Applications 5 Mathematical Inequalities & Applications 5 Problemy Analiza. Issues of Analysis 5 Annales Fennici Mathematici 4 Analysis Mathematica 4 Nonlinearity 4 Arkiv för Matematik 4 Canadian Mathematical Bulletin 4 Czechoslovak Mathematical Journal 4 Functional Analysis and its Applications 4 Mathematische Annalen ...and 246 more Journals
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#### Cited in 58 Fields

 1,340 Functions of a complex variable (30-XX) 225 Potential theory (31-XX) 198 Special functions (33-XX) 180 Operator theory (47-XX) 156 Several complex variables and analytic spaces (32-XX) 135 Approximations and expansions (41-XX) 132 Partial differential equations (35-XX) 124 Dynamical systems and ergodic theory (37-XX) 124 Harmonic analysis on Euclidean spaces (42-XX) 106 Functional analysis (46-XX) 103 Ordinary differential equations (34-XX) 96 Real functions (26-XX) 96 Difference and functional equations (39-XX) 72 Numerical analysis (65-XX) 64 Linear and multilinear algebra; matrix theory (15-XX) 62 Number theory (11-XX) 47 Geometry (51-XX) 45 Fluid mechanics (76-XX) 33 Probability theory and stochastic processes (60-XX) 32 Group theory and generalizations (20-XX) 31 Differential geometry (53-XX) 28 Combinatorics (05-XX) 24 Measure and integration (28-XX) 24 Global analysis, analysis on manifolds (58-XX) 23 Algebraic geometry (14-XX) 23 Convex and discrete geometry (52-XX) 18 Integral transforms, operational calculus (44-XX) 18 Quantum theory (81-XX) 17 Integral equations (45-XX) 17 General topology (54-XX) 15 Sequences, series, summability (40-XX) 15 Manifolds and cell complexes (57-XX) 15 Statistical mechanics, structure of matter (82-XX) 14 Mechanics of deformable solids (74-XX) 12 Information and communication theory, circuits (94-XX) 10 Field theory and polynomials (12-XX) 10 Relativity and gravitational theory (83-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 7 Topological groups, Lie groups (22-XX) 7 Astronomy and astrophysics (85-XX) 6 History and biography (01-XX) 6 Abstract harmonic analysis (43-XX) 5 Statistics (62-XX) 5 Computer science (68-XX) 5 Systems theory; control (93-XX) 4 Mathematical logic and foundations (03-XX) 4 Optics, electromagnetic theory (78-XX) 4 Biology and other natural sciences (92-XX) 3 General and overarching topics; collections (00-XX) 3 Commutative algebra (13-XX) 3 Nonassociative rings and algebras (17-XX) 3 Geophysics (86-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Algebraic topology (55-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Operations research, mathematical programming (90-XX) 1 Mechanics of particles and systems (70-XX) 1 Mathematics education (97-XX)