Relevant bibliographies by topics / Starlike function

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
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Academic literature on the topic 'Starlike function'

Author: Grafiati
Published: 2 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Starlike function"

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Hamidi, Samaneh G., Suzeini Abd Halim, and Jay M. Jahangiri. "Faber Polynomial Coefficient Estimates for Meromorphic Bi-Starlike Functions." International Journal of Mathematics and Mathematical Sciences 2013 (2013): 1–4. http://dx.doi.org/10.1155/2013/498159.

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We consider meromorphic starlike univalent functions that are also bi-starlike and find Faber polynomial coefficient estimates for these types of functions. A function is said to be bi-starlike if both the function and its inverse are starlike univalent.
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Chung, Yao Liang, Maisarah Haji Mohd, and Shamani Supramaniam. "Radius problems for certain classes of analytic functions." Studia Universitatis Babes-Bolyai Matematica 68, no. 4 (2023): 743–54. http://dx.doi.org/10.24193/subbmath.2023.4.04.

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"Radius constants for functions in three classes of analytic functions to be a starlike function of order α, parabolic starlike function, starlike function associated with lemniscate of Bernoulli, exponential function, cardioid, sine function, lune, a particular rational function, and reverse lemniscate are obtained. One of these classes are characterized by the condition Re g/(zez ) > 0. The other two classes are defined by using the function g and they consist respectively of functions f satisfying Re f/g > 0 and |f/g − 1| < 1. Keywords: Starlike function, radius of starlikeness, ex
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Sebastian, Asha, and V. Ravichandran. "Radius of starlikeness of certain analytic functions." Mathematica Slovaca 71, no. 1 (2021): 83–104. http://dx.doi.org/10.1515/ms-2017-0454.

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Abstract This paper studies analytic functions f defined on the open unit disk of the complex plane for which f/g and (1 + z)g/z are both functions with positive real part for some analytic function g. We determine radius constants of these functions to belong to classes of strong starlike functions, starlike functions of order α, parabolic starlike functions, as well as to the classes of starlike functions associated with lemniscate of Bernoulli, cardioid, lune, reverse lemniscate, sine function, exponential function and a particular rational function. The results obtained are sharp.
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Maiyer, F. F., M. G. Tastanov, A. A. Utemissova, and A. Т. Baimankulov. "CLASSES OF CLOSE-TO-STARLIKE FUNCTIONS BASED ON THE REFERENCE FUNCTION OF A GENERAL FORM." Herald of the Kazakh-British technical university 21, no. 4 (2024): 168–85. https://doi.org/10.55452/1998-6688-2024-21-4-168-185.

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The purpose of the article is to introduce and explore a wide class of doubly close-to-starlike functions, while demonstrating a unified approach to solving a certain range of extreme problems. The article defines a reference function of a general form – a starlike function, on the basis of which classes of close-to-starlike and doubly close-to-starlike functions can be constructed. On the basis of a general support function containing three parameters and new estimates of analytical functions, a generalization of various classes of close-to-starlike and doubly close-to-starlike functions is i
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Ullah, Khalil, Saira Zainab, Muhammad Arif, Maslina Darus, and Meshal Shutaywi. "Radius Problems for Starlike Functions Associated with the Tan Hyperbolic Function." Journal of Function Spaces 2021 (September 18, 2021): 1–15. http://dx.doi.org/10.1155/2021/9967640.

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The aim of this particular article is at studying a holomorphic function f defined on the open-unit disc D = z ∈ ℂ : z < 1 for which the below subordination relation holds z f ′ z / f z ≺ q 0 z = 1 + tan h z . The class of such functions is denoted by S tan h ∗ . The radius constants of such functions are estimated to conform to the classes of starlike and convex functions of order β and Janowski starlike functions, as well as the classes of starlike functions associated with some familiar functions.
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Haji Mohd, Maisarah, and Maslina Darus. "The Generalized Janowski Starlike and Close-to-Starlike Log-Harmonic Mappings." International Journal of Mathematics and Mathematical Sciences 2011 (2011): 1–8. http://dx.doi.org/10.1155/2011/356915.

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Motivated by the success of the Janowski starlike function, we consider here closely related functions for log-harmonic mappings of the form defined on the open unit disc . The functions are in the class of the generalized Janowski starlike log-harmonic mapping, , with the functional in the class of the generalized Janowski starlike functions, . By means of these functions, we obtained results on the generalized Janowski close-to-starlike log-harmonic mappings, .
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Kaur, Hardeep, Richa Brar, and Sukhwinder Singh Billing. "Certain theorems involving differential superordination and sandwich-type results." Studia Universitatis Babes-Bolyai Matematica 69, no. 3 (2024): 535–52. http://dx.doi.org/10.24193/subbmath.2024.3.05.

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Abstract. To obtain the main result of the present paper, we use the technique of differential superordination. As special cases of our main result, we obtain sufficient conditions for f ∈ A to be φ−like, parabolic φ−like, starlike, parabolic starlike, close-to-convex and uniform close-to-convex. We also obtain sandwich-type results regarding these functions. For demonstration of the results, we have plotted the images of open unit disk under certain functions using Mathematica 7.0. Mathematics Subject Classification (2010): 30C80, 30C45. Keywords: Analytic function, differential superordinati
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Taşar, Naci, Fethiye Müge Sakar, Seher Melike Aydoğan, and Georgia Irina Oros. "Relations of Harmonic Starlike Function Subclasses with Mittag–Leffler Function." Axioms 13, no. 12 (2024): 826. http://dx.doi.org/10.3390/axioms13120826.

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In this study, the connection between certain subfamilies of harmonic univalent functions is established by utilizing a convolution operator involving the Mittag–Leffler function. The investigation reveals inclusion relations concerning harmonic γ-uniformly starlike mappings in the open unit disc, harmonic starlike functions and harmonic convex functions, highlighting the improvements given by the results presented here on previously published outcomes.
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Sharma, Meghna, Sushil Kumar, and Naveen Kumar Jain. "Differential subordination implications for certain Carathéodory functions." Studia Universitatis Babes-Bolyai Matematica 68, no. 4 (2023): 775–87. http://dx.doi.org/10.24193/subbmath.2023.4.07.

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"In this article, we wish to establish some first order differential subordination relations for certain Carathéodory functions with nice geometrical properties. Moreover, several implications are determined so that the normalized analytic function belongs to various subclasses of starlike functions. Keywords: Differential subordination, Carathéodory function, starlike functions, sufficient conditions."
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Laxmi, K. Rajya, and R. Bharavi Sharma. "Second Hankel Determinants for Some Subclasses of Biunivalent Functions Associated with Pseudo-Starlike Functions." Journal of Complex Analysis 2017 (December 4, 2017): 1–9. http://dx.doi.org/10.1155/2017/6476391.

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We introduce second Hankel determinant of biunivalent analytic functions associated with λ-pseudo-starlike function in the open unit disc Δ subordinate to a starlike univalent function whose range is symmetric with respect to the real axis.
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Dissertations / Theses on the topic "Starlike function"

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Bertoni, Vanessa. ""Funções e polinômios univalentes: algumas propriedades e aplicações"." Universidade de São Paulo, 2006. http://www.teses.usp.br/teses/disponiveis/55/55134/tde-11092006-162445/.

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O objetivo principal deste trabalho é o estudo das funções univalentes e de suas propriedades. Este estudo é direcionado principalmente aos polinômios univalentes e à investigação de prolemas extremos envolvendo seus coeficientes, seus zeros e suas propriedades geométricas. Encontramos uma relação interessante entre os polinômios univalentes e os polinômios univalentes definida por Suffridge. Geramos várias funções univalentes estreladas e convexas através de suas propriedades geométricas e da localização de seus zeros.<br>The main aim of this work is the study of univalent functions and their
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Amsheri, Somia M. A. "Fractional calculus operator and its applications to certain classes of analytic functions. A study on fractional derivative operator in analytic and multivalent functions." Thesis, University of Bradford, 2013. http://hdl.handle.net/10454/6320.

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The main object of this thesis is to obtain numerous applications of fractional derivative operator concerning analytic and -valent (or multivalent) functions in the open unit disk by introducing new classes and deriving new properties. Our finding will provide interesting new results and indicate extensions of a number of known results. In this thesis we investigate a wide class of problems. First, by making use of certain fractional derivative operator, we define various new classes of -valent functions with negative coefficients in the open unit disk such as classes of -valent starlike func
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Methawasin, Mei Methajit. "The Role Of Titin In Cardiac Function: Studies With The Mouse Model Deficient In The Splicing Factor RBM20." Diss., The University of Arizona, 2014. http://hdl.handle.net/10150/337266.

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In the first half of this work, titin's role in cardiac function was studied using intact cardiac myocytes. The development of a carbon fiber based cell-attachment system allowed diastolic and systolic function of the isolated intact myocyte to be investigated. Addition of actomyosin inhibitor to the intact myocyte revealed that the majority of the cell's diastolic stiffness is due to titin but that actomyosin interaction exists as well and contributes ~ 30% of total diastolic stiffness. The details of this study are provided in chapter 1. Heart failure with preserved ejection fraction (HFpEF)
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Amsheri, Somia Muftah Ahmed. "Fractional calculus operator and its applications to certain classes of analytic functions : a study on fractional derivative operator in analytic and multivalent functions." Thesis, University of Bradford, 2013. http://hdl.handle.net/10454/6320.

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The main object of this thesis is to obtain numerous applications of fractional derivative operator concerning analytic and ρ-valent (or multivalent) functions in the open unit disk by introducing new classes and deriving new properties. Our finding will provide interesting new results and indicate extensions of a number of known results. In this thesis we investigate a wide class of problems. First, by making use of certain fractional derivative operator, we define various new classes of ρ-valent functions with negative coefficients in the open unit disk such as classes of ρ-valent starlike f
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Lodge, Adrian Jonathan. "The effect of diet quality and environmental factors on gut structure and function in the starling, Sturnus vulgaris (L.)." Thesis, University of Reading, 1994. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.262264.

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Maas, Bea. "Birds, bats and arthropods in tropical agroforestry landscapes: Functional diversity, multitrophic interactions and crop yield." Doctoral thesis, 2013. http://hdl.handle.net/11858/00-1735-0000-0022-5E77-5.

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Books on the topic "Starlike function"

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1941-, Hag Kari, and Broch Ole Jacob, eds. The ubiquitous quasidisk. American Mathematical Society, 2012.

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Gong, Sheng. Convex and Starlike Mappings in Several Complex Variables. Springer Netherlands, 1998.

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Raghunathan, Karthik, and Andrew Shaw. Crystalloids in critical illness. Oxford University Press, 2016. http://dx.doi.org/10.1093/med/9780199600830.003.0057.

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‘Crystalloid’ refers to solutions of crystalline substances that can pass through a semipermeable membrane and are distributed widely in body fluid compartments. The conventional Starling model predicts transvascular exchange based on the net balance of opposing hydrostatic and oncotic forces. Based on this model, colloids might be considered superior resuscitative fluids. However, observations of fluid behaviour during critical illness are not consistent with such predictions. Large randomized controlled studies have consistently found that colloids offer no survival advantage relative to cry
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Book chapters on the topic "Starlike function"

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Shoikhet, David. "Dynamical approach to starlike and spirallike functions." In Semigroups in Geometrical Function Theory. Springer Netherlands, 2001. http://dx.doi.org/10.1007/978-94-015-9632-9_6.

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Gandhi, Shweta. "Radius Estimates for Three Leaf Function and Convex Combination of Starlike Functions." In Springer Proceedings in Mathematics & Statistics. Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-1153-0_15.

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Malathi, V., and K. Vijaya. "Bi-Starlike Function of Complex Order Involving Double Zeta Functions in Shell Shaped Region." In Springer Proceedings in Mathematics & Statistics. Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-19-9307-7_26.

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Koumandos, Stamatis. "Positive Trigonometric Sums and Starlike Functions." In Approximation and Computation. Springer New York, 2010. http://dx.doi.org/10.1007/978-1-4419-6594-3_12.

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Shoikhet, David, and Mark Elin. "Kœnigs Type Starlike and Spirallike Functions." In Linearization Models for Complex Dynamical Systems. Birkhäuser Basel, 2010. http://dx.doi.org/10.1007/978-3-0346-0509-0_5.

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Godula, Janusz, and Maria Nowak. "Integral means of α-strongly starlike functions." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/bfb0081249.

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Liu, Ming-Sheng. "Properties and Characteristics of ɛ Starlike Functions." In Trends in Mathematics. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-48812-7_29.

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Shoikhet, David, and Mark Elin. "Starlike Functions with Respect to a Boundary Point." In Linearization Models for Complex Dynamical Systems. Birkhäuser Basel, 2010. http://dx.doi.org/10.1007/978-3-0346-0509-0_3.

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Ghosh, Supradip. "Fluid Dynamics During Resuscitation: From Frank–Starling to the Reappraisal of Guyton." In Rational Use of Intravenous Fluids in Critically Ill Patients. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-42205-8_4.

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AbstractThe interaction between the return function of the circulation and cardiac function was described by Guyton. In doing so, Guyton developed a model incorporating the works of Starling and Frank with his own work. The Guytonian model provides a simple framework for understanding the possible effects of fluid boluses or vasoactive medications on various macro-hemodynamic parameters. In this chapter, we describe briefly the Guytonian model of circulation.
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Wani, Lateef Ahmad, and A. Swaminathan. "Sufficient Conditions Concerning the Unified Class of Starlike and Convex Functions." In Springer Proceedings in Mathematics & Statistics. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-16-8177-6_3.

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Conference papers on the topic "Starlike function"

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Challab, K. A., M. Darus, and F. Ghanim. "On meromorphic parabolic starlike functions involving the q-hypergeometric function." In PROCEEDING OF THE 25TH NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM25): Mathematical Sciences as the Core of Intellectual Excellence. Author(s), 2018. http://dx.doi.org/10.1063/1.5041647.

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Pauzi, Mohd Nazran Mohammed, Saibah Siregar, and Abdul Satar Nawi. "New subclasses of bi-univalent Ma-Minda starlike function involving Fox-Wright function." In 2015 International Conference on Research and Education in Mathematics (ICREM7). IEEE, 2015. http://dx.doi.org/10.1109/icrem.2015.7357051.

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Kuptsov, Pavel V., and Anna V. Kuptsova. "Cluster synchronization of starlike networks with normalized Laplacian coupling: master stability function approach." In Saratov Fall Meeting 2015, edited by Elina A. Genina, Valery V. Tuchin, Vladimir L. Derbov, et al. SPIE, 2016. http://dx.doi.org/10.1117/12.2229780.

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Varol, Durdane, Melike Aydoğan, and Yaşar Polatoğlu. "Bounded harmonic mappings related to starlike functions." In PROCEEDINGS OF THE 3RD INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES. AIP Publishing LLC, 2014. http://dx.doi.org/10.1063/1.4882553.

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Boini, Ravindar. "A class on harmonic uniformly starlike functions." In 7TH INTERNATIONAL CONFERENCE ON NANOSCIENCE AND NANOTECHNOLOGY. AIP Publishing, 2024. http://dx.doi.org/10.1063/5.0195760.

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Yunus, Yuzaimi, Ajab Akbarally, and Suzeini Abdul Halim. "Strongly starlike functions associated with a new operator." In PROCEEDINGS OF THE 24TH NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES: Mathematical Sciences Exploration for the Universal Preservation. Author(s), 2017. http://dx.doi.org/10.1063/1.4995833.

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Ali, R. M., та V. Singh. "Coefficients of Parabolic Starlike Functions of Order ρ". У Conference. WORLD SCIENTIFIC, 1995. http://dx.doi.org/10.1142/9789814533232_0002.

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Yunus, Yuzaimi, Suzeini Abdul Halim, and Ajab Bai Akbarally. "Subclass of starlike functions associated with a limacon." In PROCEEDING OF THE 25TH NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM25): Mathematical Sciences as the Core of Intellectual Excellence. Author(s), 2018. http://dx.doi.org/10.1063/1.5041667.

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Marut, Musa Josiah, Shamani Supramaniam, and Maisarah Haji Mohd. "Symmetric Toeplitz determinants for starlike and convex functions defined by subordination." In PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES AND TECHNOLOGY 2020 (MATHTECH 2020): Sustainable Development of Mathematics & Mathematics in Sustainability Revolution. AIP Publishing, 2021. http://dx.doi.org/10.1063/5.0075331.

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Ezeafulukwe, Uzoamaka A., and Maslina Darus. "Integral means for k-uniformly starlike Hurwitz-Lerch Zeta fractional power functions." In THE 2014 UKM FST POSTGRADUATE COLLOQUIUM: Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2014 Postgraduate Colloquium. AIP Publishing LLC, 2014. http://dx.doi.org/10.1063/1.4895307.

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Reports on the topic "Starlike function"

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Mushtaq, Saima, Mohsan Raza, and Wasim ul Haq. Sufficient Conditions for a Meromorphic Function to Be p-valent Starlike or Convex. "Prof. Marin Drinov" Publishing House of Bulgarian Academy of Sciences, 2019. http://dx.doi.org/10.7546/crabs.2019.12.01.

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Aghalary, Rasoul, Ali Ebadian, and Sibel Yalçın. Univalency and Convolution Results Associated to Starlike Functions with Respect to Symmetric Points. "Prof. Marin Drinov" Publishing House of Bulgarian Academy of Sciences, 2020. http://dx.doi.org/10.7546/crabs.2020.07.01.

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