Search Results - General theory of univalent and multivalent functions of one complex variable~

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

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

Boundary Distortion and the Schwarzian Derivative of a Univalent Function in a Circular Annulus: Boundary distortion and the Schwarzian derivative of a univalent function in a circular annulus

Authors: Dubinin, V. N.

Source: Mathematical Notes. 113:776-783

Subject Terms: bounded holomorphic functions in an annulus, Spaces of bounded analytic functions of one complex variable, General theory of univalent and multivalent functions of one complex variable, Inequalities in the complex plane, distortion theorems

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Analytical and geometrical approach to the generalized Bessel function

Authors: Teodor Bulboacă Hanaa M. Zayed

Source: Journal of Inequalities and Applications, Vol 2024, Iss 1, Pp 1-17 (2024)

Subject Terms: convex functions, Convex functions, General theory of univalent and multivalent functions of one complex variable, Pochhammer symbol, Analytic, convolution product, 01 natural sciences, Univalent, Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), Coefficient problems for univalent and multivalent functions of one complex variable, Starlike, QA1-939, analytic, generalized Bessel function, Spaces of bounded analytic functions of one complex variable, starlike, Convolution product, Bessel and Airy functions, cylinder functions, \({}_0F_1\), 0101 mathematics, Mathematics, univalent

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Access URL: https://zbmath.org/7861746
https://doi.org/10.1186/s13660-024-03117-1
https://doaj.org/article/f0ad9c2cfa854276a64b725103db783f

On the Neighbourhood of a Subclass of Univalent Functions Related to Complex Order: On the neighbourhood of a subclass of univalent functions related to complex order

Authors: Millicent Premabai

Source: Southeast Asian Bulletin of Mathematics. 26:71-75

Subject Terms: Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), Hadamard product, univalent functions, \(\delta\)-neighbourhood of functions, General theory of univalent and multivalent functions of one complex variable

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Access URL: https://zbmath.org/1884053
https://doi.org/10.1007/s100120200029
https://link.springer.com/article/10.1007/s100120200029

Upper bound of fractional differential operator related to univalent functions

Authors: Zainab E. Abdulnaby Adem Kilicman Rabha W. Ibrahim

Source: Mathematical Sciences. 10:167-175

Subject Terms: 2. Zero hunger, Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), convolution, General theory of univalent and multivalent functions of one complex variable, univalent function, subclasses of univalent function, generalized fractional differential operator

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Access URL: https://link.springer.com/content/pdf/10.1007%2Fs40096-016-0191-z.pdf
https://zbmath.org/6760073
https://doi.org/10.1007/s40096-016-0191-z
https://core.ac.uk/display/153828713
https://link.springer.com/content/pdf/10.1007%2Fs40096-016-0191-z.pdf
https://link.springer.com/article/10.1007/s40096-016-0191-z
https://paperity.org/p/77958884/upper-bound-of-fractional-differential-operator-related-to-univalent-functions
https://rd.springer.com/article/10.1007/s40096-016-0191-z

A theorem of distortion for univalent p-symmetrical functions bounded in the circle \(|z| > 1\): A theorem on distortion for univalent \(p\)-symmetrical functions bounded in the circle \(| z | > 1\)

Authors: L. Mikołajczyk

Source: Commentationes Mathematicae. 12

Subject Terms: Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), Extremal problems for conformal and quasiconformal mappings, variational methods, General theory of univalent and multivalent functions of one complex variable

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Access URL: https://zbmath.org/3375834

LINEAR INVARIANCE AND INTEGRAL OPERATORS OF UNIVALENT FUNCTIONS: Linear invariance and integral operators of univalent functions

Authors: Jan Szynal Michael Dorff

Source: Demonstratio Mathematica. 38:47-58

Subject Terms: Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), General theory of univalent and multivalent functions of one complex variable, 0101 mathematics, 01 natural sciences

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Access URL: https://zbmath.org/2164669
https://doi.org/10.1515/dema-2005-0108
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.baztech-article-PWA3-0012-0007

a multiplier estimate of the schwarzian derivative of univalent functions: A multiplier estimate of the Schwarzian derivative of univalent functions

Authors: Serguei Shimorin

Source: International Mathematics Research Notices. 2003(30):1623-1633

Subject Terms: General theory of conformal mappings, Schwarzian derivative, Extremal problems for conformal and quasiconformal mappings, other methods, univalent functions, Bergman spaces, General theory of univalent and multivalent functions of one complex variable

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Access URL: https://zbmath.org/1925840
https://doi.org/10.1155/s107379280321223x
https://academic.oup.com/imrn/article-abstract/2003/30/1623/743631
http://www.diva-portal.org/smash/record.jsf?pid=diva2:341270
http://academic.oup.com/imrn/article-abstract/2003/30/1623/743631

Approximation of Univalent Functions by Compositions: Approximation of univalent functions by compositions

Authors: Alexander P. Kuznetsov

Source: Computational Methods and Function Theory. 3:485-499

Subject Terms: General theory of conformal mappings, Loewner-Kufarev equation, slit mapping, General theory of univalent and multivalent functions of one complex variable, univalent function, approximation

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Access URL: https://zbmath.org/2112951
https://doi.org/10.1007/bf03321050
https://link.springer.com/content/pdf/10.1007/BF03321050.pdf
https://link.springer.com/article/10.1007/BF03321050

The radial growth of univalent functions

Authors: Ch. Pommerenke Walter K. Hayman J. M. Anderson

Source: Journal of Computational and Applied Mathematics. 171:27-37

Subject Terms: uncountable sets, Applied Mathematics, General theory of univalent and multivalent functions of one complex variable, univalent function, 01 natural sciences, Baire category, Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), radial growth, Computational Mathematics, Radial growth, close-to-convex function, Uncountable sets, Boundary value problems in the complex plane, 0101 mathematics, Univalent functions

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Access URL: https://zbmath.org/2085582
https://doi.org/10.1016/j.cam.2004.01.013
https://www.sciencedirect.com/science/article/abs/pii/S0377042704000524
https://www.sciencedirect.com/science/article/pii/S0377042704000524
https://ui.adsabs.harvard.edu/abs/2004JCoAM.171...27A/abstract
http://www.sciencedirect.com/science/article/pii/S0377042704000524

A nonlinear extremal problem for Bloch functions with applications to geometric function theory

Authors: Oliver Roth

Source: Archiv der Mathematik. 81:655-665

Subject Terms: Bloch function, General theory of univalent and multivalent functions of one complex variable, Normal functions of one complex variable, normal families, 0101 mathematics, hyperbolic domain, extremal problem, 01 natural sciences

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Access URL: https://zbmath.org/2051651
https://doi.org/10.1007/s00013-003-4799-5
https://link.springer.com/article/10.1007/s00013-003-4799-5

Generalized harmonic Koebe functions

Authors: Ferrada Salas, Álvaro Leonardo Martín, M.

Source: Journal of Mathematical Analysis and Applications. 435:860-873

Subject Terms: Taylor coefficients, Matemáticas, Mathematics - Complex Variables, Matemática física y química, 31A05, 30C50, Serie de Taylor, General theory of univalent and multivalent functions of one complex variable, Koebe functions, 01 natural sciences, 0103 physical sciences, FOS: Mathematics, Complex Variables (math.CV), 0101 mathematics, Harmonic, subharmonic, superharmonic functions in two dimensions, Funciones univalentes, harmonic functions

File Description: application/xml; 14 páginas; application/pdf

Access URL: http://arxiv.org/abs/1410.4406
https://zbmath.org/6511593
https://doi.org/10.1016/j.jmaa.2015.10.066
https://www.sciencedirect.com/science/article/pii/S0022247X15010094

Fixed Points of Univalent Functions: Fixed points of univalent functions

Authors: Tatevik L. Gharibyan Gerald Schmieder

Source: Computational Methods and Function Theory. 3:299-304

Subject Terms: nowhere dense, univalent functions, fixed points, cluster set, General theory of univalent and multivalent functions of one complex variable, Cluster sets, prime ends, boundary behavior

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Access URL: https://zbmath.org/2112940
https://doi.org/10.1007/bf03321039
https://link.springer.com/content/pdf/10.1007/BF03321039.pdf

An algebra of differential operators and generating functions on the set of univalent functions: An algebra of diffential operators and generating functions on the set of univalent functions

Authors: Hélène Airault Jiagang Ren

Source: Bulletin des Sciences Mathématiques. 126:343-367

Subject Terms: Mathematics(all), Algebra of differential operators, Virasoro and related algebras, Faber polynomials, General theory of univalent and multivalent functions of one complex variable, Connections of hypergeometric functions with groups and algebras, and related topics, 01 natural sciences, Virasoro algebra, Complex vector fields, holomorphic foliations, \(\mathbb{C}\)-actions, univalent functions, 0101 mathematics, vector fields, Univalent functions, Geometric theory, characteristics, transformations in context of PDEs

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Access URL: https://www.sciencedirect.com/science/article/pii/S0007449702011156
https://www.sciencedirect.com/science/article/abs/pii/S0007449702011156

The integral means spectrum of univalent functions

Authors: Ch. Pommerenke

Source: Journal of Mathematical Sciences. 95:2249-2255

Subject Terms: Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), Capacity and harmonic measure in the complex plane, 0103 physical sciences, bounded univalent functions, General theory of univalent and multivalent functions of one complex variable, 0101 mathematics, 01 natural sciences

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Access URL: https://zbmath.org/1364719
https://doi.org/10.1007/bf02172469
https://link.springer.com/content/pdf/10.1007/BF02172469.pdf
https://rd.springer.com/article/10.1007/BF02172469

Two-point distortion theorems for univalent functions

Authors: Kim, Seong-A. Minda, David

Source: Pacific J. Math. 163, no. 1 (1994), 137-157

Subject Terms: Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), convex univalent functions, General theory of univalent and multivalent functions of one complex variable, 0101 mathematics, 30C45, hyperbolic geometry, 01 natural sciences, 30C55, Conformal metrics (hyperbolic, Poincaré, distance functions), distortion theorems

File Description: application/xml; application/pdf

Access URL: http://msp.org/pjm/1994/163-1/pjm-v163-n1-p07-s.pdf
https://zbmath.org/537377
https://doi.org/10.2140/pjm.1994.163.137
https://msp.org/pjm/1994/163-1/p07.xhtml
https://projecteuclid.org/handle/euclid.pjm/1102622632
https://msp.org/pjm/1994/163-1/pjm-v163-n1-p07-s.pdf
https://projecteuclid.org/download/pdf_1/euclid.pjm/1102622632
http://projecteuclid.org/euclid.pjm/1102622632

Estimates of Conformal Radius and Distortion Theorems for Univalent Functions: Estimates of conformal radius and distortion theorems for univalent functions

Authors: Leonid V. Kovalev

Source: Journal of Mathematical Sciences. 110:3111-3120

Subject Terms: Extremal problems for conformal and quasiconformal mappings, other methods, conformal radius, General theory of univalent and multivalent functions of one complex variable, distortion theorem, 0101 mathematics, extremal problem, 01 natural sciences

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Access URL: https://zbmath.org/1777280
https://doi.org/10.1023/a:1015424412285
https://link.springer.com/article/10.1023%2FA%3A1015424412285
https://experts.syr.edu/en/publications/estimates-of-conformal-radius-and-distortion-theorems-for-univale
https://link.springer.com/content/pdf/10.1023/A:1015424412285.pdf

Univalent functions of fast growth with gap power series

Authors: Alexandre Eremenko Walter K. Hayman

Source: Mathematical Proceedings of the Cambridge Philosophical Society. 127:525-532

Subject Terms: coefficient region, General theory of univalent and multivalent functions of one complex variable, functions in the unit disk, 0101 mathematics, Chebyshev polynomial, 01 natural sciences, Power series (including lacunary series) in one complex variable

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Access URL: https://zbmath.org/1389586
https://doi.org/10.1017/s0305004199003874
http://ui.adsabs.harvard.edu/abs/1999MPCPS.127..525E/abstract
https://www.math.purdue.edu/~eremenko/dvi/hayman.pdf
https://www.cambridge.org/core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society/article/univalent-functions-of-fast-growth-with-gap-power-series/EA6DFB4BA3204B704C313A783C15BEAA
https://dialnet.unirioja.es/servlet/articulo?codigo=477716

A property of univalent functions in A_{p}: A property of univalent functions in \(A_p\)

Authors: Walsh, David

Source: Glasgow Mathematical Journal. 42:121-124

Subject Terms: diagonal Besov spaces, univalent functions, 4. Education, General theory of univalent and multivalent functions of one complex variable, 0101 mathematics, Sobolev spaces and other spaces of ''smooth' functions, embedding theorems, trace theorems, 01 natural sciences

File Description: application/xml; text

Access URL: https://www.cambridge.org/core/services/aop-cambridge-core/content/view/C23BDAF0FE3908C7EFF5314758CC55E3/S0017089500010144a.pdf/div-class-title-a-property-of-univalent-functions-in-span-class-italic-a-p-span-div.pdf
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0017089500010144
https://mural.maynoothuniversity.ie/id/eprint/14717/