Holomorphic Embedding State Estimation Method Using Phasor Measurement Units

Authors: Rodrigues, F.M., Melo, I.D., de Oliveira, B.C., Falco, D.M.

Source: IEEE Transactions on Power Systems IEEE Trans. Power Syst. Power Systems, IEEE Transactions on. 40(6):5337-5353 Nov, 2025

Complete Nevanlinna–Pick kernels and the Schwarz lemma.

Authors: Alpay, Daniel¹ (AUTHOR) alpay@chapman.edu, Bhattacharyya, Tirthankar² (AUTHOR), Jindal, Abhay² (AUTHOR), Kumar, Poornendu³ (AUTHOR)

Source: Complex Variables & Elliptic Equations. Dec2025, Vol. 70 Issue 12, p2151-2165. 15p.

Subject Terms: *HOLOMORPHIC functions, *REPRODUCING kernel (Mathematics), *UNIT ball (Mathematics), *SCHWARZ inequality, *FUNCTION algebras

Scator Holomorphic Functions.

Authors: Cieśliński, Jan L.¹ (AUTHOR) j.cieslinski@uwb.edu.pl, Hasiewicz, Zbigniew¹ (AUTHOR), Kobus, Artur¹ (AUTHOR)

Source: Axioms (2075-1680). Nov2025, Vol. 14 Issue 11, p798. 10p.

Subject Terms: *HOLOMORPHIC functions, *CAUCHY-Riemann equations, *CLIFFORD algebras, *ELLIPTIC equations, *AFFINE transformations, *QUATERNION functions, *COMPLEX numbers

Jointly cyclic polynomials and maximal domains.

Authors: Mironov, Mikhail¹ (AUTHOR), Sampat, Jeet¹ (AUTHOR)

Source: Proceedings of the American Mathematical Society. Nov2025, Vol. 153 Issue 11, p4781-4795. 15p.

Subject Terms: *HOLOMORPHIC functions, *COMPLEX variables, *HILBERT space, *FUNCTIONAL analysis, *TOPOLOGICAL spaces, *VECTOR topology, *POLYNOMIALS

A Free Approach to p-Compact Type Bounded Holomorphic Mappings.

Authors: Cabrera-Padilla, María Gádor¹ (AUTHOR) m_gador@hotmail.com, Jiménez-Vargas, Antonio¹ (AUTHOR) ajimenez@ual.es, Keten Çopur, Ayşegül² (AUTHOR) aketen@erbakan.edu.tr

Source: Bulletin of the Iranian Mathematical Society. Oct2025, Vol. 51 Issue 5, p1-17. 17p.

Subject Terms: *BANACH spaces, *HOLOMORPHIC functions, *FACTORIZATION, *COMPOSITION operators, *LINEAR operators

A Flashback to the Morse Lemma †.

Authors: Kimaczyńska, Anna¹ (AUTHOR)

Source: Symmetry (20738994). Oct2025, Vol. 17 Issue 10, p1617. 35p.

Subject Terms: *MORSE theory, *HOLOMORPHIC functions, *SMOOTHNESS of functions, *MATHEMATICS, *MATHEMATICAL functions, *THEORISTS, *MATHEMATICAL analysis

Analogues of Hyperlogarithm Functions on Affine Complex Curves.

Authors: Enriquez, Benjamin¹ b.enriquez@math.unistra.fr, Zerbini, Federico² f.zerbini@mat.uned.es

Source: Publications of the Research Institute for Mathematical Sciences. 2025, Vol. 61 Issue 4, p627-712. 86p.

Subject Terms: *HOLOMORPHIC functions, *LOGARITHMIC functions, *ALGEBRAIC varieties, *DIFFERENTIAL algebra, *DIFFERENTIAL forms, *ALGEBRAIC curves, *ISOMORPHISM (Mathematics)

On the Piecewise Holomorphic Systems with Three Zones.

Authors: das Neves Silva, Carlos Vinícius¹ (AUTHOR) carlos.vn.silva@unesp.br, da Silva, Paulo Ricardo¹ (AUTHOR) paulo.r.silva@unesp.br

Source: Journal of Nonlinear Science. Feb2026, Vol. 36 Issue 1, p1-42. 42p.

Subject Terms: *HOLOMORPHIC functions, *LIMIT cycles, *NORMAL forms (Mathematics), *DYNAMICAL systems

On nearly holomorphic Drinfeld modular forms for admissible coefficient rings.

Authors: Gezmiş, Oğuz¹ (AUTHOR) gezmis@math.nthu.edu.tw, Chinthalagiri Venkata, Sriram² (AUTHOR) sriram.chinthalagiri@iwr.uni-heidelberg.de

Source: Research in Number Theory. 9/9/2025, Vol. 11 Issue 4, p1-56. 56p.

Subject Terms: *MODULAR forms, *HOLOMORPHIC functions, *MODULAR groups, *FUNCTION spaces, *ALGEBRAIC curves, *SHEAF theory

Distortion Theory of Biunivalent Holomorphic Functions.

Authors: Krushkal, Samuel L.^1,2 (AUTHOR)

Source: Axioms (2075-1680). Sep2025, Vol. 14 Issue 9, p704. 11p.

Subject Terms: *HOLOMORPHIC functions, *GEOMETRIC function theory, *MATHEMATICAL transformations, *MATHEMATICAL bounds, *DIFFERENTIAL equations, *QUASICONFORMAL mappings

Partially hyperbolic compact complex manifolds.

Authors: Hisashi Kasuya¹ kasuya@math.nagoya-u.ac.jp, Popovici, Dan² popovici@math.univ-toulouse.fr

Source: Revista Mathemática Iberoamericana. 2025, Vol. 41 Issue 5, p1795-1832. 38p.

Subject Terms: *HYPERBOLIC spaces, *HOLOMORPHIC functions, *TANGENT bundles, *NEVANLINNA theory, *COMPLEX manifolds

On the Hadamard multiplication theorem in ℂⁿ.

Authors: Trybuła, Maria¹ (AUTHOR) mtrybula@amu.edu.pl

Source: Complex Variables & Elliptic Equations. Jul2025, Vol. 70 Issue 7, p1293-1297. 5p.

Subject Terms: *HOLOMORPHIC functions, *COMPLEX variables, *NEIGHBORHOODS, *MULTIPLICATION

N = 6 supersymmetric AdS2× ℂℙ³× Σ2.

Authors: Conti, Andrea^1,2 (AUTHOR) contiandrea@uniovi.es, Lozano, Yolanda^1,2 (AUTHOR) ylozano@uniovi.es, Macpherson, Niall T.^1,2 (AUTHOR) macphersonniall@uniovi.es

Source: Journal of High Energy Physics. Jul2025, Vol. 2025 Issue 7, p1-34. 34p.

Subject Terms: *RIEMANN surfaces, *HOLOMORPHIC functions, *SUPERSYMMETRY, *MATHEMATICS, *SYMMETRY, *SUPERGRAVITY

Surfaces with mean of the hyperbolic curvature radii of double harmonic type

Authors: Armando M. V. Corro, Carlos M. C. Riveros, Raquel P. de Aráujo

Source: Selecciones Matemáticas, Vol 12, Iss 01, Pp 33-43 (2025)

Subject Terms: T57-57.97, Applied mathematics. Quantitative methods, hyperbolic curvature radii, holomorphic functions, QA1-939, weingarten surfaces, Mathematics

Access URL: https://doaj.org/article/c926672f93294619add34b5a98d61b84

Normal families and total derivatives in several complex variables

Authors: Kumar, Rahul^{Aff1, IDs40574025004756_cor1}

Source: Bollettino dell'Unione Matematica Italiana. 18(4):1203-1213

On the Gaussian Curvature of Graphs of Holomorphic Functions

Authors: Cruz-López, Manuel^{Aff1, IDs40315025005943_cor1}, Romero, Otto

Source: Computational Methods and Function Theory. :1-19

Holomorphic operator function method for calculation of band structures of dispersive photonic crystals.

Authors: Xiao, Wenjuan¹ (AUTHOR) wjxiao0426@163.com, Xiao, Wenqiang¹ (AUTHOR) wqxiao@imu.edu.cn, Liu, Yang¹ (AUTHOR) mathliuyang@imu.edu.cn

Source: Advances in Continuous & Discrete Models. 6/23/2025, Vol. 2025 Issue 1, p1-17. 17p.

Subject Terms: *PHOTONIC crystals, *HOLOMORPHIC functions, *SPECTRUM analysis, *FINITE element method, *ELECTRONIC band structure, *EIGENVALUE equations

Super-rigidity for holomorphic Segre maps.

Authors: Chen, Wei^1,2 (AUTHOR), Hu, Tianzhi¹ (AUTHOR), Yin, Wanke¹ (AUTHOR) wankeyin@whu.edu.cn

Source: Complex Variables & Elliptic Equations. Jun2025, Vol. 70 Issue 6, p1096-1111. 16p.

Subject Terms: *HOLOMORPHIC functions

Conformal mappings on the Grushin plane.

Authors: Walicki, Marcin¹ (AUTHOR) marcin.walicki.dokt@pw.edu.pl

Source: Complex Variables & Elliptic Equations. Jun2025, Vol. 70 Issue 6, p1061-1082. 22p.

Subject Terms: *CONFORMAL mapping, *HOLOMORPHIC functions, *GEOMETRY

Generalization of the Schwarz–Pick Inequality and Its Applications to the Extreme Problems of Approximation of Holomorphic Functions.

Authors: Savchuk, Viktor¹ (AUTHOR) vicsavchuk@gmail.com, Savchuk, Maryna² (AUTHOR)

Source: Ukrainian Mathematical Journal. Jun2025, Vol. 77 Issue 1, p48-58. 11p.

Subject Terms: *HOLOMORPHIC functions, *TAYLOR'S series, *MATHEMATICAL inequalities, *ESTIMATION theory, *APPROXIMATION theory, *MATHEMATICAL functions