Search Results - Coefficient problems for 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

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 et al.

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

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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Univalent functions convex in one direction

Authors: Royster, W. C. Ziegler, M.

Source: Publicationes Mathematicae Debrecen. 23:339-345

Subject Terms: 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, 0101 mathematics, 01 natural sciences

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Access URL: https://zbmath.org/3569002

Applications of Babalola q-convolution operator on subclass of analytic functions: Applications of Babalola \(q\)-convolution operator on subclass of analytic functions

Authors: Timilehin Gideon Shaba Saravanan Gunasekar Afis Saliu et al.

Source: Journal of Inequalities and Applications, Vol 2025, Iss 1, Pp 1-21 (2025)

Subject Terms: Toeplitz determinant, coefficient inequalities, Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), \(q\)-Babalola convolution operator, analytic functions, Binomial coefficients, factorials, \(q\)-identities, Coefficient problems for univalent and multivalent functions of one complex variable, Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations, subordination, Linear operators on function spaces (general), Analytic functions, QA1-939, q-Babalola convolution operator, Coefficient inequalities, Mathematics

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Access URL: https://doaj.org/article/9689ec3ee29e41b8a15cd48a645f76aa

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

Certain subclass of harmonic univalent functions defined by q-differential operator

Authors: Birajdar, Gajanan M. Sangle, Naveneet D.

Source: Serdica Mathematical Journal. 48

Subject Terms: Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), harmonic, Mathematics - Complex Variables, Coefficient problems for univalent and multivalent functions of one complex variable, FOS: Mathematics, 30C45, 30C50, 0101 mathematics, Complex Variables (math.CV), 01 natural sciences, univalent, Salagean q-differential operator

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Access URL: http://arxiv.org/abs/2209.04707

On the Coefficient Problem for Univalent Functions: On the coefficient problem for univalent functions

Authors: V. G. Sheretov

Source: Siberian Mathematical Journal. 43:379-387

Subject Terms: Coefficient problems for univalent and multivalent functions of one complex variable, 0101 mathematics, Bieberbach conjecture, schlicht function, 01 natural sciences

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Access URL: https://zbmath.org/1882382
https://link.springer.com/content/pdf/10.1023/A:1014713609268.pdf
https://link.springer.com/article/10.1023/A:1014713609268

Typically real polynomials

Authors: Royster, Wimberley Calvin Suffridge, Teddy J. Uniwersytet Marii Curie-Skłodowskiej (Lublin)

Contributors: Royster, Wimberley Calvin Suffridge, Teddy J. Uniwersytet Marii Curie-Skłodowskiej (Lublin)

Source: Publicationes Mathematicae Debrecen. 17:307-312

Subject Terms: 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, Polynomials and rational functions of one complex variable, 0103 physical sciences, matematyka, Conformal mappings of special domains, 01 natural sciences

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Access URL: https://zbmath.org/3386021
https://zbmath.org/3372360

Horadam Polynomials and a Class of Biunivalent Functions Defined by Ruscheweyh Operator: Horadam polynomials and a class of biunivalent functions defined by Ruscheweyh operator

Authors: Waleed Al-Rawashdeh

Source: International Journal of Mathematics and Mathematical Sciences, Vol 2023 (2023)

Subject Terms: Fekete-Szegő inequality, Artificial intelligence, Class (philosophy), Univalent Functions, class of analytic functions, Operator (biology), Biochemistry, Gene, Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), QA1-939, FOS: Mathematics, Complex Analysis and Operator Theory, Algebra over a field, Applied Mathematics, 4. Education, Geometric Function Theory and Complex Analysis, Pure mathematics, Discrete mathematics, 16. Peace & justice, Computer science, Chemistry, Combinatorics, Coefficient problems for univalent and multivalent functions of one complex variable, Physical Sciences, Repressor, coefficient estimates, Geometry and Topology, Transcription factor, Mathematics

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Access URL: https://doaj.org/article/481502bf18b3465087ef1a8553bf873c

On the coefficients of concave univalent functions

Authors: Avkhadiev F. Pommerenke C. Wirths K.

Source: SCOPUS0025584X-2004-271-SID4644352419

Subject Terms: Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), convex functions, Taylor coefficients, Extremal problems for conformal and quasiconformal mappings, other methods, Coefficient problems for univalent and multivalent functions of one complex variable, Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations, subordination, Schlicht functions, Concave univalent functions, 16. Peace & justice, coefficient inequalities

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Access URL: https://openrepository.ru/article?id=172440
https://openrepository.ru/article?id=129308
https://onlinelibrary.wiley.com/doi/abs/10.1002/mana.200310177

A proof of the Livingston conjecture for the fourth and the fifth coefficient of concave univalent functions

Authors: Karl-Joachim Wirths

Source: Annales Polonici Mathematici. 83:87-93

Subject Terms: 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, concave univalent functions, Livingston conjecture, 0101 mathematics, 01 natural sciences

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Access URL: https://www.impan.pl/shop/publication/transaction/download/product/84486?download.pdf
https://zbmath.org/2120220
https://doi.org/10.4064/ap83-1-10
https://eudml.org/doc/280198
https://www.impan.pl/pl/wydawnictwa/czasopisma-i-serie-wydawnicze/annales-polonici-mathematici/all/83/1/84486/a-proof-of-the-livingston-conjecture-for-the-fourth-and-the-fifth-coefficient-of-concave-univalent-functions
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.bwnjournal-article-doi-10_4064-ap83-1-10

A subclass of harmonic univalent functions with negative coefficients: A subclass of harmonic univalent functions with negative coefficients.

Authors: Karpuzogullari, Sibel Yamankaradeniz, M Ozturk, M

Source: Applied Mathematics and Computation. 142:469-476

Subject Terms: 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, harmonic univalent mappings, 0101 mathematics, 01 natural sciences

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Access URL: https://avesis.uludag.edu.tr/publication/details/50a027a0-002a-42df-9e27-566684fb24db/oai

On the Coefficients of Some Subclasses of Univalent Functions: On the coefficients of some subclasses of univalent functions

Authors: H. E. Darwish

Source: Southeast Asian Bulletin of Mathematics. 25:75-86

Subject Terms: Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), 0209 industrial biotechnology, extremal problems, Coefficient problems for univalent and multivalent functions of one complex variable, 0103 physical sciences, subclasses of univalent functions, 02 engineering and technology, 01 natural sciences

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Access URL: https://zbmath.org/1642152
https://doi.org/10.1007/s10012-001-0075-4
https://rd.springer.com/article/10.1007/s10012-001-0075-4
https://link.springer.com/article/10.1007/s10012-001-0075-4

Sharp Estimates for the Coefficients of the Inverse Functions of the Nevanlinna Univalent Functions of the Classes N1 and N2: Sharp estimates for the coefficients of the inverse functions of the Nevanlinna univalent functions of the classes \(N_1\) and \(N_2\)

Authors: P. G. Todorov

Source: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg. 68:91-102

Subject Terms: sharp estimates, 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, Extremal problems for conformal and quasiconformal mappings, variational methods, variational formulas, Nevanlinna univalent functions, 0101 mathematics, 01 natural sciences

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Access URL: https://zbmath.org/1416681
https://doi.org/10.1007/bf02942553
https://link.springer.com/article/10.1007/BF02942553

Inequalities for Some Coefficients of Univalent Functions: Inequalities for some coefficients of univalent functions

Authors: Jian-Lin Li Yu-Lin Zhang Hari M. Srivastava

Source: Mathematical Inequalities & Applications. :207-221

Subject Terms: de Branges' theorem, Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), Abel transformation, Millin conjectures, Coefficient problems for univalent and multivalent functions of one complex variable, de Branges theorem, Inequalities in the complex plane, Bazilevich conjecture, 0101 mathematics, coefficient inequalities, Bieberbach conjecture, 01 natural sciences

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Access URL: http://files.ele-math.com/abstracts/mia-02-19-abs.pdf

Constraint coefficient problems for a subclass of starlike functions

Authors: Samaris, N. Koulorizos, P.

Source: Publicationes Mathematicae Debrecen. 56:63-76

Subject Terms: Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), starlike functions, coefficient problems, Carathéodory-Toeplitz conditions, Coefficient problems for univalent and multivalent functions of one complex variable, 0101 mathematics, 01 natural sciences

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Access URL: https://zbmath.org/1446816

The Landau problem for nonvanishing functions with real coefficients

Authors: Philippos Koulorizos Nikolas Samaris

Source: Journal of Computational and Applied Mathematics. 139:129-139

Subject Terms: the Landau problem, Computational Mathematics, Coefficient problems for univalent and multivalent functions of one complex variable, Applied Mathematics, Real coefficient nonvanishing function, 0101 mathematics, The Landau problem, 01 natural sciences, real coefficient nonvanishing function

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Access URL: https://www.sciencedirect.com/science/article/pii/S0377042701003867
http://ui.adsabs.harvard.edu/abs/2002JCoAM.139..129K/abstract

On the coefficients of small univalent functions

Authors: Brad Osgood Martin Chuaqui Ch. Pommerenke

Source: Results in Mathematics. 33:79-86

Subject Terms: 0301 basic medicine, Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), 03 medical and health sciences, Coefficient problems for univalent and multivalent functions of one complex variable, 0101 mathematics, 01 natural sciences

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Access URL: https://zbmath.org/1140107
https://doi.org/10.1007/bf03322071
https://link.springer.com/content/pdf/10.1007/BF03322071.pdf
https://link.springer.com/article/10.1007/BF03322071

COEFFICIENT ESTIMATES FOR BOUNDED STARLIKE FUNCTIONS OF COMPLEX ORDER: Coefficient estimates for bounded starlike functions of complex order

Authors: M. K. Aouf

Source: Tamkang Journal of Mathematics. 25:113-123

Subject Terms: 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, coefficient estimates, 0101 mathematics, 01 natural sciences

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Access URL: https://journals.math.tku.edu.tw/index.php/TKJM/article/download/4433/1486
https://zbmath.org/683327