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

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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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, Fairouz Tchier, Baskaran Sudharsanan

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

Typically real polynomials

Authors: Royster, Wimberley Calvin, Suffridge, Teddy J.

Contributors: 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

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

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

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

Estimates for Integral Means of Hyperbolically Convex Functions: Estimates for integral means of hyperbolically convex functions

Authors: Kayumov I., Obnosov Y.

Source: SCOPUS00374466-2005-46-6-SID28644450477

Subject Terms: integral means, Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), conformal mapping, Coefficient problems for univalent and multivalent functions of one complex variable, Univalent function, Integral means, hyperbolically convex function, univalent function, Conformal mapping, Hyperbolically convex function

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Access URL: https://zbmath.org/5169444
https://openrepository.ru/article?id=174515
https://openrepository.ru/article?id=129971
https://link.springer.com/article/10.1007%2Fs11202-005-0100-4

INCLUSION RELATIONS FOR k-UNIFORMLY STARLIKE AND RELATED FUNCTIONS UNDER CERTAIN INTEGRAL OPERATORS: Inclusion relations for \(k\)-uniformly starlike and related functions under certain integral operators

Authors: Aghalary Rasoul, M Jahangiri Jay

Source: Bulletin of the Korean Mathematical Society. 42:623-629

Subject Terms: Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), integral operators, Coefficient problems for univalent and multivalent functions of one complex variable, uniformly starlike functions, 0101 mathematics, 10. No inequality, 01 natural sciences, uniformly convex functions

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Access URL: http://www.ndsl.kr/soc_img/society/kms/E1BMAX/2005/v42n3/E1BMAX_2005_v42n3_623.pdf
http://www.koreascience.or.kr/article/ArticleFullRecord.jsp?cn=E1BMAX_2005_v42n3_623

The Choi–Saigo–Srivastava integral operator and a class of analytic functions: The Choi-Saigo-Srivastava integral operator and a class of analytic functions

Authors: Fengshan Liu, Yi Ling

Source: Applied Mathematics and Computation. 165:613-621

Subject Terms: General theory of conformal mappings, anlaytic functions, Coefficient problems for univalent and multivalent functions of one complex variable, Integral operator, 0101 mathematics, distortion and coefficient results, 01 natural sciences, Convolution

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Access URL: https://dblp.uni-trier.de/db/journals/amc/amc165.html#LingL05
https://www.sciencedirect.com/science/article/pii/S0096300304004060

A note on de Branges’ weights: A note on de Branges' weights

Authors: Arcadii Z. Grinshpan, Anatolii Grinshpan

Source: Proceedings of the American Mathematical Society. 133:2605-2608

Subject Terms: univalent functions, Coefficient problems for univalent and multivalent functions of one complex variable, associated Legendre functions, 0101 mathematics, 01 natural sciences, Univalent functions, de Branges' weight systems

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Access URL: https://www.ams.org/proc/2005-133-09/S0002-9939-05-07934-7/S0002-9939-05-07934-7.pdf
https://zbmath.org/2168525
https://doi.org/10.1090/s0002-9939-05-07934-7
https://dialnet.unirioja.es/servlet/articulo?codigo=1275571
https://www.ams.org/journals/proc/2005-133-09/S0002-9939-05-07934-7/home.html
https://authors.library.caltech.edu/24760/
https://www.jstor.org/stable/4097621
https://www.ams.org/proc/2005-133-09/S0002-9939-05-07934-7/S0002-9939-05-07934-7.pdf

General inequalities, consequences and applications

Authors: Arcadii Z. Grinshpan

Source: Advances in Applied Mathematics. 34:71-100

Subject Terms: combinatorial inequalities, Confluent hypergeometric functions, Exponentiation, fractional integrals, binomial coefficients, Bernstein polynomials, Combinatorial inequalities, 01 natural sciences, beta function, integral transformations, Beta function, general inequalities, Classical hypergeometric functions, \({}_2F_1\), gamma function, univalent functions, Fractional derivatives and integrals, Convolutions, Binomial coefficients, Confluent hypergeometric functions, Whittaker functions, \({}_1F_1\), 0101 mathematics, Bi-hermitian forms, Gamma, beta and polygamma functions, Other analytical inequalities, Integral transformations, convolutions, Positive definite matrices and kernels, Applied Mathematics, Fractional integrals, positive definite matrices and kernels, General inequalities, confluent hypergeometric functions, bi-Hermitian forms, Hypergeometric series, hypergeometric series, General polynomials, Gamma function, Coefficient problems for univalent and multivalent functions of one complex variable, Inequalities for sums, series and integrals, Univalent functions

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Access URL: https://zbmath.org/2164931
https://doi.org/10.1016/j.aam.2004.05.001
http://www.sciencedirect.com/science/article/pii/S0196885804000661
https://core.ac.uk/display/82280033
https://www.sciencedirect.com/science/article/pii/S0196885804000661
https://dblp.uni-trier.de/db/journals/aam/aam34.html#Grinshpan05

Positivity and monotony properties of the de Branges functions

Authors: Wolfram Koepf, Dieter Schmersau

Source: Journal of Computational and Applied Mathematics. 173:279-294

Subject Terms: Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), Computational Mathematics, de Branges functions, Coefficient problems for univalent and multivalent functions of one complex variable, Applied Mathematics, Weinstein functions, 0101 mathematics, Hypergeometric functions, Bieberbach conjecture, 01 natural sciences, hypergeometric functions

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Access URL: https://zbmath.org/2137292
https://doi.org/10.1016/j.cam.2004.03.021
https://www.sciencedirect.com/science/article/pii/S0377042704001578
https://core.ac.uk/display/81995397
https://www.sciencedirect.com/science/article/abs/pii/S0377042704001578
https://dialnet.unirioja.es/servlet/articulo?codigo=1022640
http://ui.adsabs.harvard.edu/abs/2005JCoAM.173..279K/abstract
https://www.sciencedirect.com/science/article/pii/S0377042704001578#!

On the linear combination of the representations of starlikeness and convexity

Authors: Tuneski, Nikola, Aceska, Roza

Source: Glasnik matematički
CODEN GLMAB2
Volume 39
Issue 2

Subject Terms: Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), convex functions, linear comination, criteria, Starlike function, Coefficient problems for univalent and multivalent functions of one complex variable, starlike function of order α, starlike, sharp coefficient results, 0101 mathematics, differential subordination, 01 natural sciences, Jack lemma

File Description: application/xml; application/pdf

Access URL: http://hrcak.srce.hr/file/2196
https://zbmath.org/2149638
https://doi.org/10.3336/gm.39.2.08
https://hrcak.srce.hr/file/2196
https://hrcak.srce.hr/1249
https://core.ac.uk/display/14375912
https://hrcak.srce.hr/1249
https://hrcak.srce.hr/file/2196
https://hrcak.srce.hr/1249

Certain properties of the Dziok–Srivastava operator: Certain properties of the Dziok--Srivastava operator

Authors: Jin-Lin Liu, Hari M. Srivastava

Source: Applied Mathematics and Computation. 159:485-493

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, 0101 mathematics, differential subordination, 01 natural sciences, hypergeometric functions

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Access URL: https://zbmath.org/2128844
https://doi.org/10.1016/j.amc.2003.08.133
http://www.sciencedirect.com/science/article/pii/S0096300303011408
https://www.sciencedirect.com/science/article/abs/pii/S0096300303011408
https://dl.acm.org/doi/10.1016/j.amc.2003.08.133
https://dblp.uni-trier.de/db/journals/amc/amc159.html#LiuS04
https://dl.acm.org/citation.cfm?id=2641956

New classes of $k$-uniformly convex and starlike functions: New classes of \(k\)-uniformly convex and starlike functions

Authors: S. R. Kulkarni, Essam Aqlan, Jay M. Jahangiri

Source: Tamkang Journal of Mathematics. 35:261-266

Subject Terms: Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), uniformly convex, coefficient condition, Coefficient problems for univalent and multivalent functions of one complex variable, starlike, radius of starlikeness, extreme point, 0101 mathematics, 01 natural sciences, distortion bound

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Access URL: http://journals.math.tku.edu.tw/index.php/TKJM/article/download/207/213/
https://zbmath.org/2148462
http://journals.math.tku.edu.tw/index.php/TKJM/article/download/207/213

The Landau problem for univalent bounded nonvanishing functions

Authors: Wenfa Yuan, Yong Xu, Dongli Chen

Source: Tamkang Journal of Mathematics. 35:101-104

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

File Description: application/xml

Access URL: https://journals.math.tku.edu.tw/index.php/TKJM/article/download/210/216
https://zbmath.org/2114329
https://dissem.in/p/30202240/the-landau-problem-for-univalent-bounded-nonvanishing-functions
http://journals.math.tku.edu.tw/index.php/TKJM/article/download/210/216

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

File Description: application/xml

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