Convolution Results for Subclasses of Multivalent Meromorphic Functions of Complex Order Involving an Integral Operator: Convolution results for subclasses of multivalent meromorphic functions of complex order involving an integral operator

Authors: Saleh, Zeinab M., Mostafa, Adela O., Madian, Samer M.

Source: Electronic Journal of Mathematical Analysis and Applications. 13:1-7

Subject Terms: Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), Hadamard product, Coefficient problems for univalent and multivalent functions of one complex variable, coefficient estimates, General theory of univalent and multivalent functions of one complex variable, subordination, meromorphic multivalent functions, integral operator

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Access URL: https://zbmath.org/8036657
https://doi.org/10.21608/ejmaa.2025.355261.1315

A new subclass of bi-univalent functions of complex order defined by the symmetric q-derivative and subordination: A new subclass of bi-univalent functions of complex order defined by the symmetric \(q\)-derivative and subordination

Authors: El-Ityan, Mohammad, Al-Hawary, Tariq, Hammad, Suha, Frasin, Basem

Source: Gulf Journal of Mathematics. 19:111-120

Subject Terms: Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), Fekete-Szegő problem, Coefficient problems for univalent and multivalent functions of one complex variable, a new class of anlytic functions, coefficient bounds

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Access URL: https://zbmath.org/8031453
https://doi.org/10.56947/gjom.v19i2.2649

The converse of the Cowling–Obrechkoff–Thron theorem: The converse of the Cowling-Obrechkoff-Thron theorem

Authors: Munger, Devon N., Paparella, Pietro

Source: Involve, a Journal of Mathematics. 18:473-478

Subject Terms: Mathematics - Spectral Theory, Rings and Algebras (math.RA), Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral), 30C15, 26C10, 15A42, eigenvalue inequality, FOS: Mathematics, location of zeros, Mathematics - Rings and Algebras, \(P_0\) matrix, Inequalities involving eigenvalues and eigenvectors, Spectral Theory (math.SP), Real polynomials: location of zeros, \(P\) matrix

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Access URL: http://arxiv.org/abs/2303.12852

Applications of m-fold-p-valent symmetric functions associated with a generalized Riemann-Liouville fractional integral operator: Applications of \(m\)-fold-\(p\)-valent symmetric functions associated with a generalized Riemann-Liouville fractional integral operator

Authors: Abdulnaby, Zainab Esa, Ibrahim, Rabha W.

Source: Gulf Journal of Mathematics. 19:260-276

Subject Terms: Integral operators, Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), fractional integral operator, \(p\)-valent symmetric analytic functions

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Sharp inequalities for Zalcman functional of logarithmic coefficients of inverse functions in certain classes of analytic functions

Authors: Lecko, A., Śmiarowska, Barbara

Source: Journal of Mathematical Inequalities. :81-97

Subject Terms: Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), convex functions, functions of bounded turning, Hankel determinant, Coefficient problems for univalent and multivalent functions of one complex variable, coefficient estimates, star-like functions

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Inequalities of Turán Type for the Polar Derivative of a Polynomial: Inequalities of Turán type for the polar derivative of a polynomial

Authors: Mir, A., Bhat, A. H., Thoker, W. A.

Source: Siberian Mathematical Journal. 66:168-176

Subject Terms: polar derivative, polynomials, Polynomials and rational functions of one complex variable, Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral), zeros, Inequalities in the complex plane, Turán inequality

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Access URL: https://zbmath.org/7982523
https://doi.org/10.1134/s0037446625010136

An extension of Bohr’s equivalence theorem to the case of exponential polynomials with distinct sets of frequencies

Authors: Sepulcre, J. M.^{Aff1, IDs43034025004602_cor1}, Vidal, T.

Source: Annals of Functional Analysis. 16(4)

On the Analog of the Sălăgean Class for Dirichlet Series and the Solutions of One Differential Equation with Exponential Coefficients: On the analog of the Sălăgean class for Dirichlet series and the solutions of one differential equation with exponential coefficients

Authors: Sheremeta, Myroslav, Mulyava, Oksana, Medvedev, Mykola

Source: Ukrainian Mathematical Journal. 76:1591-1598

Subject Terms: Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), Sălăgean class, Dirichlet series, neighborhood of analytic functions

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Access URL: https://zbmath.org/8032014
https://doi.org/10.1007/s11253-025-02407-1

URSIM for Meromorphic Functions in a non-Archimedean Field: URSIM for meromorphic functions in a non-Archimedean field

Authors: Vu Hoai An, Chanthaphone, Phommavong

Source: p-Adic Numbers, Ultrametric Analysis and Applications. 17:28-41

Subject Terms: non-Archimedean meromorphic functions, unique range sets, sharing sets, Non-Archimedean function theory, Strong solutions to PDEs, Meromorphic functions of one complex variable (general theory)

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Access URL: https://zbmath.org/8008819
https://doi.org/10.1134/s2070046625010030

UNIQUENESS OF MEROMORPHIC FUNCTIONS THAT SHARE VALUES IM WITH THEIR DERIVATIVES: Uniqueness of meromorphic functions that share values IM with their derivatives

Authors: Saha, Biswajit, Pal, Subrata

Source: Electronic Journal of Mathematical Analysis and Applications. 13:1-10

Subject Terms: differential polynomial, uniqueness, meromorphic function, Nonlinear ordinary differential equations and systems, Entire and meromorphic solutions to ordinary differential equations in the complex domain, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory, shift polynomial

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SOME RESULTS DUE TO UNIQUENESS OF MEROMORPHIC FUNCTIONS CONCERNING NON-LINEAR DIFFERENTIAL POLYNOMIALS: Some results due to uniqueness of meromorphic functions concerning nonlinear differential polynomials

Authors: Saha, Biswajit, Pal, Subrata

Source: Journal of Fractional Calculus and Applications. 16:1-14

Subject Terms: weighted sharing, differential polynomial, uniqueness, meromorphic function, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory

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A note on Hayman’s problem: A note on Hayman's problem

Authors: Jiaxing Huang, Yuefei Wang

Source: Canadian Mathematical Bulletin. 68:620-627

Subject Terms: Mathematics - Complex Variables, zero distributions, FOS: Mathematics, meromorphic functions, Normal functions of one complex variable, normal families, 0101 mathematics, Complex Variables (math.CV), Hayman's problem, Meromorphic functions of one complex variable (general theory), differential polynomials, 01 natural sciences, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory

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Access URL: http://arxiv.org/abs/2212.01063

Meromorphic functions that share three limit values with their derivatives

Authors: Andreas Sauer

Source: The Journal of Analysis. 33:819-823

Subject Terms: meromorphic functions, 0101 mathematics, Meromorphic functions of one complex variable (general theory), sharing values, 01 natural sciences, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory, entire functions

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On harmonic meromorphic spirallike functions

Authors: Md Firoz Ali, Sushil Pandit

Source: The Journal of Analysis. 33:657-672

Subject Terms: pole at origin, Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), analytic functions, harmonic meromorphic functions, meromorphic hereditarily spirallike functions, non zero pole, General theory of univalent and multivalent functions of one complex variable, meromorphic starlike function

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Access URL: https://zbmath.org/8035915
https://doi.org/10.1007/s41478-024-00852-y

A q-theorem of Pólya using Hurwitz partial fraction method: A \(q\)-theorem of Pólya using Hurwitz partial fraction method

Authors: M. H. Annaby, S. R. Elsayed-Abdullah

Source: The Journal of Analysis. 33:369-385

Subject Terms: Pólya-Hurwitz partial fraction expansions, Representations of entire functions of one complex variable by series and integrals, Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral), \(q\)-sampling theory, Normal functions of one complex variable, normal families, zeros of entire functions

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Access URL: https://zbmath.org/8035351
https://doi.org/10.1007/s41478-024-00839-9

Meromorphic Function Sharing Two Pairs of Small Functions IM: Meromorphic function sharing two pairs of small functions IM

Authors: Majumder, S., Sarkar, N., Sarkar, J.

Source: Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences). 59:349-364

Subject Terms: uniqueness, meromorphic functions, sharing small functions, Meromorphic functions of one complex variable (general theory), Value distribution of meromorphic functions of one complex variable, Nevanlinna theory

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Two meromorphic functions sharing some pairs of values on an annuli

Authors: Huong Giang Ha

Source: The Journal of Analysis. 33:427-438

Subject Terms: meromorphic functions on an annulus, Möbius transformation, Meromorphic functions of one complex variable (general theory), sharing values, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory

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Access URL: https://zbmath.org/8035355
https://doi.org/10.1007/s41478-024-00843-z

Investigations on uniqueness of meromorphic functions in the k-punctured complex plane: Investigations on uniqueness of meromorphic functions in the \(k\)-punctured complex plane

Authors: Maity, Sayantan

Source: Rendiconti del Circolo Matematico di Palermo Series 2. 73:3065-3076

Subject Terms: \(k\)-punctured complex plane, meromorphic functions, sharing small functions, Meromorphic functions of one complex variable (general theory), Value distribution of meromorphic functions of one complex variable, Nevanlinna theory

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Access URL: https://zbmath.org/7960869
https://doi.org/10.1007/s12215-024-01090-8

Abel universal functions: boundary behaviour and Taylor polynomials

Authors: Charpentier, Stephane, Manolaki, Myrto, Maronikolakis, Konstantinos

Contributors: Charpentier, Stéphane

Source: Revista Matemática Iberoamericana. 41:867-890

Subject Terms: universal radial approximation, Mathematics - Complex Variables, 30K15, 30B30, 30E10, 2020 Mathematics Subject Classification. 30K15, 30B30, [MATH] Mathematics [math], Approximation in the complex plane, 2020 Mathematics Subject Classification. 30K15 30B30 30E10 universal radial approximation dilation boundary behaviour universal Taylor series, Universal functions of one complex variable, 01 natural sciences, boundary behaviour, universal Taylor series, Boundary behavior of power series in one complex variable, over-convergence, FOS: Mathematics, dilation, Complex Variables (math.CV), 0101 mathematics, 30E10 universal radial approximation

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Access URL: http://arxiv.org/abs/2310.05611
https://zbmath.org/8037297
https://doi.org/10.4171/rmi/1514
https://hal.science/hal-04939674v2
https://hal.science/hal-04939674v2/document
https://doi.org/10.4171/rmi/1514
https://hal.science/hal-04939674v1
https://hal.science/hal-04939674v1/document
https://doi.org/10.4171/rmi/1514

Bounded Fatou and Julia components of meromorphic functions

Authors: David Martí-Pete, Lasse Rempe, James Waterman

Source: Martí-Pete, D, Rempe, L & Waterman, J 2024, ' Bounded Fatou and Julia components of meromorphic functions ', Mathematische Annalen . https://doi.org/10.1007/s00208-023-02725-4

Subject Terms: 37B45, Fatou set, Mathematics - Complex Variables, Combinatorics and topology in relation with holomorphic dynamical systems, Julia set, Dynamical Systems (math.DS), Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable, Approximation in the complex plane, 01 natural sciences, Dynamics of complex polynomials, rational maps, entire and meromorphic functions, Fatou and Julia sets, Bifurcations, parameter spaces in holomorphic dynamics, the Mandelbrot and Multibrot sets, Primary 37F10, wandering compacta, Fatou component, 54F15, Secondary 30D05, escaping set, FOS: Mathematics, meromorphic function, 37F10 (primary), 30D05, 37B45, 54F15 (secondary), Mathematics - Dynamical Systems, 0101 mathematics, Complex Variables (math.CV), approximation theory, Meromorphic functions of one complex variable (general theory)

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Access URL: http://arxiv.org/abs/2204.11781
https://zbmath.org/7967057
https://doi.org/10.1007/s00208-023-02725-4
https://research.manchester.ac.uk/en/publications/e507b2e3-3b70-46ef-8cf3-e881cbbfd148
https://doi.org/10.1007/s00208-023-02725-4
https://research.manchester.ac.uk/en/publications/e507b2e3-3b70-46ef-8cf3-e881cbbfd148
http://www.scopus.com/inward/record.url?scp=85195367611&partnerID=8YFLogxK
https://doi.org/10.1007/s00208-023-02725-4